DOI: 10.1063/1.165928. Quantum-chaotic scattering effects in semiconductor microstructures

Quantum-chaotic scattering effects in semiconductor microstructures

10.1063/1.165928

Crossref journal-article

AIP Publishing

Chaos: An Interdisciplinary Journal of Nonlinear Science (317)

Abstract

We show that classical chaotic scattering has experimentally measurable consequences for the quantum conductance of semiconductor microstructures. These include the existence of conductance fluctuations—a sensitivity of the conductance to either Fermi energy or magnetic field—and weak-localization—a change in the average conductance upon applying a magnetic field. We develop a semiclassical theory and present numerical results for these two effects in which we model the microstructures by billiards attached to leads. We find that the difference between chaotic and regular classical scattering produces a qualitative difference in the fluctuation spectrum and weak-localization lineshape of chaotic and nonchaotic structures. While the semiclassical theory within the diagonal approximation accounts well for the weak-localization lineshape and for the spectrum of the fluctuations, we uncover a surprising failure of the semiclassical diagonal-approximation theory in describing the magnitude of these quantum transport effects.

Bibliography

Baranger, H. U., Jalabert, R. A., & Stone, A. D. (1993). Quantum-chaotic scattering effects in semiconductor microstructures. Chaos: An Interdisciplinary Journal of Nonlinear Science, 3(4), 665â682.

Authors 3

Harold U. Baranger (first)
Rodolfo A. Jalabert (additional)
A. Douglas Stone (additional)

References 83 Referenced 194

{'key': '2024020122201901100_r1'}
10.1103/PhysRevLett.65.2442 / Phys. Rev. Lett. (1990)
{'key': '2024020122201901100_r3'}
{'key': '2024020122201901100_r3a'}
10.1080/00018738600101921 / Adv. Phys. (1986)
10.1103/RevModPhys.57.287 / Rev. Mod. Phys. (1985)
10.1016/0370-1573(84)90103-0 / Phys. Rep. (1984)
10.1103/PhysRevLett.55.1622 / Phys. Rev. Lett. (1985)
10.1103/PhysRevB.35.1039 / Phys. Rev. B (1987)
{'key': '2024020122201901100_r6', 'first-page': '530', 'volume': '41', 'year': '1985', 'journal-title': 'Pis’ma Zh. Eksp. Teor. Fiz.'} / Pis’ma Zh. Eksp. Teor. Fiz. (1985)
{'key': '2024020122201901100_r6a', 'first-page': '648', 'volume': '41', 'year': '1985', 'journal-title': 'JETP Lett.'} / JETP Lett. (1985)
{'key': '2024020122201901100_r7', 'first-page': '127', 'volume': '64', 'year': '1986', 'journal-title': 'Sov. Phys. JETP'} / Sov. Phys. JETP (1986)
10.1103/PhysRevB.47.4440 / Phys. Rev. B (1993)
10.1103/PhysRevLett.69.506 / Phys. Rev. Lett. (1992)
{'key': '2024020122201901100_r10'}
{'key': '2024020122201901100_r11'}
10.1103/PhysRevLett.70.4118 / Phys. Rev. Lett. (1993)
10.1103/PhysRevB.48.2460 / Phys. Rev. B (1993)
{'key': '2024020122201901100_r14'}
10.1063/1.165927 / Chaos (1993)
{'key': '2024020122201901100_r16'}
10.1080/14786437008238472 / Philos. Mag. (1970)
10.1103/PhysRevLett.57.1761 / Phys. Rev. Lett. (1986)
10.1103/PhysRevB.23.6851 / Phys. Rev. B (1981)
10.1147/rd.323.0384 / IBM J. Res. Dev. (1988)
10.1103/PhysRevB.40.8169 / Phys. Rev. B (1989)
10.1088/0305-4470/23/21/024 / J. Phys. A (1990)
10.1103/PhysRevLett.67.1941 / Phys. Rev. Lett. (1991)
10.1103/PhysRevLett.67.2410 / Phys. Rev. Lett. (1991)
10.1088/0951-7715/5/4/001 / Nonlinearity (1992)
10.1103/PhysRevLett.68.1629 / Phys. Rev. Lett. (1992)
10.1098/rspa.1992.0007 / Proc. R. Soc. London Ser. A (1992)
10.1098/rspa.1985.0078 / Proc. R. Soc. London Ser. A (1985)
10.1103/PhysRevLett.52.1 / Phys. Rev. Lett. (1984)
{'key': '2024020122201901100_r24a'}
10.1103/PhysRevLett.61.161 / Phys. Rev. Lett. (1988)
{'key': '2024020122201901100_r26'}
10.1103/PhysRevLett.68.3468 / Phys. Rev. Lett. (1992)
{'key': '2024020122201901100_r27a'}
10.1016/0921-4526(93)90145-V / Physica B (1993)
{'key': '2024020122201901100_r28a', 'year': '1993', 'journal-title': 'Surf. Sci.'} / Surf. Sci. (1993)
10.1103/PhysRevLett.5.430 / Phys. Rev. Lett. (1960)
10.1103/PhysRevLett.60.477 / Phys. Rev. Lett. (1988)
10.1016/0167-2789(89)90252-2 / Physica D (1989)
10.1103/PhysRevLett.64.241 / Phys. Rev. Lett. (1990)
10.1103/PhysRevB.44.10637 / Phys. Rev. B (1991)
10.1103/PhysRevLett.70.3876 / Phys. Rev. Lett. (1993)
{'key': '2024020122201901100_r33'}
10.1103/PhysRevB.42.11479 / Phys. Rev. B (1990)
{'key': '2024020122201901100_r35'}
{'key': '2024020122201901100_r36', 'first-page': '69', 'volume': '25', 'year': '1974', 'journal-title': 'Adv. Chem. Phys.'} / Adv. Chem. Phys. (1974)
{'key': '2024020122201901100_r37'}
{'key': '2024020122201901100_r38'}
10.1063/1.165807 / Chaos (1991)
10.1103/PhysRevLett.65.1651 / Phys. Rev. Lett. (1990)
{'key': '2024020122201901100_r41', 'first-page': '3559', 'volume': '44', 'year': '1991', 'journal-title': 'Phys. Rev. B'} / Phys. Rev. B (1991)
10.1016/0003-4916(91)90372-F / Ann. Phys. (1991)
10.1016/0167-2789(91)90005-T / Physica D (1991)
10.1103/PhysRevLett.65.3072 / Phys. Rev. Lett. (1990)
10.1103/PhysRevLett.69.217 / Phys. Rev. Lett. (1992)
{'key': '2024020122201901100_r45'}
{'key': '2024020122201901100_r46'}
10.1088/0305-4470/19/5/019 / J. Phys. A (1986)
10.1063/1.165994 / Chaos (1993)
10.1103/PhysRevLett.68.3491 / Phys. Rev. Lett. (1992)
10.1103/PhysRevLett.65.2213 / Phys. Rev. Lett. (1990)
10.1209/0295-5075/11/7/001 / Europhys. Lett. (1990)
10.1016/0167-2789(90)90057-V / Physica D (1990)
10.1016/0749-6036(92)90239-2 / Superlat. Microstruc. (1992)
{'key': '2024020122201901100_r53'}
10.1103/PhysRevB.37.6544 / Phys. Rev. B (1988)
{'key': '2024020122201901100_r55'}
{'key': '2024020122201901100_r56'}
10.1103/PhysRevLett.64.583 / Phys. Rev. Lett. (1990)
10.1016/0003-4916(90)90275-S / Ann. Phys. (1990)
10.1016/0003-4916(85)90080-6 / Ann. Phys. (1985)
{'key': '2024020122201901100_r59'}
{'key': '2024020122201901100_r60'}
{'key': '2024020122201901100_r61'}
10.1016/0167-2789(83)90138-0 / Physica D (1983)
10.1063/1.456017 / J. Chem. Phys. (1989)
{'key': '2024020122201901100_r64'}
10.1103/PhysRevLett.61.834 / Phys. Rev. Lett. (1988)

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 8:39 a.m.)
Deposited	1 year, 6 months ago (Feb. 1, 2024, 6:04 p.m.)
Indexed	3 weeks ago (Aug. 6, 2025, 9:06 a.m.)
Issued	31 years, 10 months ago (Oct. 1, 1993)
Published	31 years, 10 months ago (Oct. 1, 1993)
Published Print	31 years, 10 months ago (Oct. 1, 1993)

Funders 0

None

BibTeX

@article{Baranger_1993, title={Quantum-chaotic scattering effects in semiconductor microstructures}, volume={3}, ISSN={1089-7682}, url={http://dx.doi.org/10.1063/1.165928}, DOI={10.1063/1.165928}, number={4}, journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, publisher={AIP Publishing}, author={Baranger, Harold U. and Jalabert, Rodolfo A. and Stone, A. Douglas}, year={1993}, month=oct, pages={665–682} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        6
      ]
    ],
    "date-time": "2025-08-06T13:06:25Z",
    "timestamp": 1754485585614
  },
  "reference-count": 83,
  "publisher": "AIP Publishing",
  "issue": "4",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1993,
        10,
        1
      ]
    ]
  },
  "abstract": "<jats:p>We show that classical chaotic scattering has experimentally measurable consequences for the quantum conductance of semiconductor microstructures. These include the existence of conductance fluctuations\u2014a sensitivity of the conductance to either Fermi energy or magnetic field\u2014and weak-localization\u2014a change in the average conductance upon applying a magnetic field. We develop a semiclassical theory and present numerical results for these two effects in which we model the microstructures by billiards attached to leads. We find that the difference between chaotic and regular classical scattering produces a qualitative difference in the fluctuation spectrum and weak-localization lineshape of chaotic and nonchaotic structures. While the semiclassical theory within the diagonal approximation accounts well for the weak-localization lineshape and for the spectrum of the fluctuations, we uncover a surprising failure of the semiclassical diagonal-approximation theory in describing the magnitude of these quantum transport effects.</jats:p>",
  "DOI": "10.1063/1.165928",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2002,
        7,
        26
      ]
    ],
    "date-time": "2002-07-26T12:39:37Z",
    "timestamp": 1027687177000
  },
  "page": "665-682",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 194,
  "title": "Quantum-chaotic scattering effects in semiconductor microstructures",
  "prefix": "10.1063",
  "volume": "3",
  "author": [
    {
      "given": "Harold U.",
      "family": "Baranger",
      "sequence": "first",
      "affiliation": [
        {
          "name": "AT&T Bell Laboratories 1D-230, 600 Mountain Avenue, Murray Hill, New Jersey 07974-0636"
        }
      ]
    },
    {
      "given": "Rodolfo A.",
      "family": "Jalabert",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Division de Physique Th\u00e9orique,a) Institut de Physique Nucl\u00e9aire, F-91406 Orsay Cedex, France"
        }
      ]
    },
    {
      "given": "A. Douglas",
      "family": "Stone",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Applied Physics, Yale University, P.O. Box 208284, New Haven, Connecticut 06520-8284"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024020122201901100_r1"
    },
    {
      "key": "2024020122201901100_r2",
      "doi-asserted-by": "crossref",
      "first-page": "2442",
      "DOI": "10.1103/PhysRevLett.65.2442",
      "volume": "65",
      "year": "1990",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r3"
    },
    {
      "key": "2024020122201901100_r3a"
    },
    {
      "key": "2024020122201901100_r3b",
      "doi-asserted-by": "crossref",
      "first-page": "375",
      "DOI": "10.1080/00018738600101921",
      "volume": "35",
      "year": "1986",
      "journal-title": "Adv. Phys."
    },
    {
      "key": "2024020122201901100_r4",
      "doi-asserted-by": "crossref",
      "first-page": "287",
      "DOI": "10.1103/RevModPhys.57.287",
      "volume": "57",
      "year": "1985",
      "journal-title": "Rev. Mod. Phys."
    },
    {
      "key": "2024020122201901100_r4a",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1016/0370-1573(84)90103-0",
      "volume": "107",
      "year": "1984",
      "journal-title": "Phys. Rep."
    },
    {
      "key": "2024020122201901100_r5",
      "doi-asserted-by": "crossref",
      "first-page": "1622",
      "DOI": "10.1103/PhysRevLett.55.1622",
      "volume": "55",
      "year": "1985",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r5a",
      "doi-asserted-by": "crossref",
      "first-page": "1039",
      "DOI": "10.1103/PhysRevB.35.1039",
      "volume": "35",
      "year": "1987",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020122201901100_r6",
      "first-page": "530",
      "volume": "41",
      "year": "1985",
      "journal-title": "Pis\u2019ma Zh. Eksp. Teor. Fiz."
    },
    {
      "key": "2024020122201901100_r6a",
      "first-page": "648",
      "volume": "41",
      "year": "1985",
      "journal-title": "JETP Lett."
    },
    {
      "key": "2024020122201901100_r7",
      "first-page": "127",
      "volume": "64",
      "year": "1986",
      "journal-title": "Sov. Phys. JETP"
    },
    {
      "key": "2024020122201901100_r8",
      "doi-asserted-by": "crossref",
      "first-page": "4440",
      "DOI": "10.1103/PhysRevB.47.4440",
      "volume": "47",
      "year": "1993",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020122201901100_r9",
      "doi-asserted-by": "crossref",
      "first-page": "506",
      "DOI": "10.1103/PhysRevLett.69.506",
      "volume": "69",
      "year": "1992",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r10"
    },
    {
      "key": "2024020122201901100_r11"
    },
    {
      "key": "2024020122201901100_r12",
      "doi-asserted-by": "crossref",
      "first-page": "4118",
      "DOI": "10.1103/PhysRevLett.70.4118",
      "volume": "70",
      "year": "1993",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r13",
      "doi-asserted-by": "crossref",
      "first-page": "2460",
      "DOI": "10.1103/PhysRevB.48.2460",
      "volume": "48",
      "year": "1993",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020122201901100_r14"
    },
    {
      "key": "2024020122201901100_r15",
      "doi-asserted-by": "crossref",
      "first-page": "643",
      "DOI": "10.1063/1.165927",
      "volume": "3",
      "year": "1993",
      "journal-title": "Chaos"
    },
    {
      "key": "2024020122201901100_r16"
    },
    {
      "key": "2024020122201901100_r17",
      "doi-asserted-by": "crossref",
      "first-page": "863",
      "DOI": "10.1080/14786437008238472",
      "volume": "21",
      "year": "1970",
      "journal-title": "Philos. Mag."
    },
    {
      "key": "2024020122201901100_r18",
      "doi-asserted-by": "crossref",
      "first-page": "1761",
      "DOI": "10.1103/PhysRevLett.57.1761",
      "volume": "57",
      "year": "1986",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r19",
      "doi-asserted-by": "crossref",
      "first-page": "6851",
      "DOI": "10.1103/PhysRevB.23.6851",
      "volume": "23",
      "year": "1981",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020122201901100_r20",
      "doi-asserted-by": "crossref",
      "first-page": "384",
      "DOI": "10.1147/rd.323.0384",
      "volume": "32",
      "year": "1988",
      "journal-title": "IBM J. Res. Dev."
    },
    {
      "key": "2024020122201901100_r21",
      "doi-asserted-by": "crossref",
      "first-page": "8169",
      "DOI": "10.1103/PhysRevB.40.8169",
      "volume": "40",
      "year": "1989",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020122201901100_r22",
      "doi-asserted-by": "crossref",
      "first-page": "4839",
      "DOI": "10.1088/0305-4470/23/21/024",
      "volume": "23",
      "year": "1990",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "2024020122201901100_r22a",
      "doi-asserted-by": "crossref",
      "first-page": "1941",
      "DOI": "10.1103/PhysRevLett.67.1941",
      "volume": "67",
      "year": "1991",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r22b",
      "doi-asserted-by": "crossref",
      "first-page": "2410",
      "DOI": "10.1103/PhysRevLett.67.2410",
      "volume": "67",
      "year": "1991",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r22c",
      "doi-asserted-by": "crossref",
      "first-page": "805",
      "DOI": "10.1088/0951-7715/5/4/001",
      "volume": "5",
      "year": "1992",
      "journal-title": "Nonlinearity"
    },
    {
      "key": "2024020122201901100_r22d",
      "doi-asserted-by": "crossref",
      "first-page": "1629",
      "DOI": "10.1103/PhysRevLett.68.1629",
      "volume": "68",
      "year": "1992",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r22e",
      "doi-asserted-by": "crossref",
      "first-page": "99",
      "DOI": "10.1098/rspa.1992.0007",
      "volume": "436",
      "year": "1992",
      "journal-title": "Proc. R. Soc. London Ser. A"
    },
    {
      "key": "2024020122201901100_r23",
      "doi-asserted-by": "crossref",
      "first-page": "229",
      "DOI": "10.1098/rspa.1985.0078",
      "volume": "400",
      "year": "1985",
      "journal-title": "Proc. R. Soc. London Ser. A"
    },
    {
      "key": "2024020122201901100_r24",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1103/PhysRevLett.52.1",
      "volume": "52",
      "year": "1984",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r24a"
    },
    {
      "key": "2024020122201901100_r25",
      "doi-asserted-by": "crossref",
      "first-page": "161",
      "DOI": "10.1103/PhysRevLett.61.161",
      "volume": "61",
      "year": "1988",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r26"
    },
    {
      "key": "2024020122201901100_r27",
      "doi-asserted-by": "crossref",
      "first-page": "3468",
      "DOI": "10.1103/PhysRevLett.68.3468",
      "volume": "68",
      "year": "1992",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r27a"
    },
    {
      "key": "2024020122201901100_r28",
      "doi-asserted-by": "crossref",
      "first-page": "43",
      "DOI": "10.1016/0921-4526(93)90145-V",
      "volume": "189",
      "year": "1993",
      "journal-title": "Physica B"
    },
    {
      "key": "2024020122201901100_r28a",
      "year": "1993",
      "journal-title": "Surf. Sci."
    },
    {
      "key": "2024020122201901100_r29",
      "doi-asserted-by": "crossref",
      "first-page": "430",
      "DOI": "10.1103/PhysRevLett.5.430",
      "volume": "5",
      "year": "1960",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r30",
      "doi-asserted-by": "crossref",
      "first-page": "477",
      "DOI": "10.1103/PhysRevLett.60.477",
      "volume": "60",
      "year": "1988",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r30a",
      "doi-asserted-by": "crossref",
      "first-page": "111",
      "DOI": "10.1016/0167-2789(89)90252-2",
      "volume": "36",
      "year": "1989",
      "journal-title": "Physica D"
    },
    {
      "key": "2024020122201901100_r30b",
      "doi-asserted-by": "crossref",
      "first-page": "241",
      "DOI": "10.1103/PhysRevLett.64.241",
      "volume": "64",
      "year": "1990",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r31",
      "doi-asserted-by": "crossref",
      "first-page": "10637",
      "DOI": "10.1103/PhysRevB.44.10637",
      "volume": "44",
      "year": "1991",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020122201901100_r32",
      "doi-asserted-by": "crossref",
      "first-page": "3876",
      "DOI": "10.1103/PhysRevLett.70.3876",
      "volume": "70",
      "year": "1993",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r33"
    },
    {
      "key": "2024020122201901100_r34",
      "doi-asserted-by": "crossref",
      "first-page": "11479",
      "DOI": "10.1103/PhysRevB.42.11479",
      "volume": "42",
      "year": "1990",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020122201901100_r35"
    },
    {
      "key": "2024020122201901100_r36",
      "first-page": "69",
      "volume": "25",
      "year": "1974",
      "journal-title": "Adv. Chem. Phys."
    },
    {
      "key": "2024020122201901100_r37"
    },
    {
      "key": "2024020122201901100_r38"
    },
    {
      "key": "2024020122201901100_r39",
      "doi-asserted-by": "crossref",
      "first-page": "101",
      "DOI": "10.1063/1.165807",
      "volume": "1",
      "year": "1991",
      "journal-title": "Chaos"
    },
    {
      "key": "2024020122201901100_r40",
      "doi-asserted-by": "crossref",
      "first-page": "1651",
      "DOI": "10.1103/PhysRevLett.65.1651",
      "volume": "65",
      "year": "1990",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r41",
      "first-page": "3559",
      "volume": "44",
      "year": "1991",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020122201901100_r42",
      "doi-asserted-by": "crossref",
      "first-page": "53",
      "DOI": "10.1016/0003-4916(91)90372-F",
      "volume": "212",
      "year": "1991",
      "journal-title": "Ann. Phys."
    },
    {
      "key": "2024020122201901100_r43",
      "doi-asserted-by": "crossref",
      "first-page": "367",
      "DOI": "10.1016/0167-2789(91)90005-T",
      "volume": "50",
      "year": "1991",
      "journal-title": "Physica D"
    },
    {
      "key": "2024020122201901100_r43a",
      "doi-asserted-by": "crossref",
      "first-page": "3072",
      "DOI": "10.1103/PhysRevLett.65.3072",
      "volume": "65",
      "year": "1990",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r44",
      "doi-asserted-by": "crossref",
      "first-page": "217",
      "DOI": "10.1103/PhysRevLett.69.217",
      "volume": "69",
      "year": "1992",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r45"
    },
    {
      "key": "2024020122201901100_r46"
    },
    {
      "key": "2024020122201901100_r47",
      "doi-asserted-by": "crossref",
      "first-page": "649",
      "DOI": "10.1088/0305-4470/19/5/019",
      "volume": "19",
      "year": "1986",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "2024020122201901100_r48",
      "doi-asserted-by": "crossref",
      "first-page": "655",
      "DOI": "10.1063/1.165994",
      "volume": "3",
      "year": "1993",
      "journal-title": "Chaos"
    },
    {
      "key": "2024020122201901100_r49",
      "doi-asserted-by": "crossref",
      "first-page": "3491",
      "DOI": "10.1103/PhysRevLett.68.3491",
      "volume": "68",
      "year": "1992",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r50",
      "doi-asserted-by": "crossref",
      "first-page": "2213",
      "DOI": "10.1103/PhysRevLett.65.2213",
      "volume": "65",
      "year": "1990",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r51",
      "doi-asserted-by": "crossref",
      "first-page": "583",
      "DOI": "10.1209/0295-5075/11/7/001",
      "volume": "11",
      "year": "1990",
      "journal-title": "Europhys. Lett."
    },
    {
      "key": "2024020122201901100_r51a",
      "doi-asserted-by": "crossref",
      "first-page": "229",
      "DOI": "10.1016/0167-2789(90)90057-V",
      "volume": "44",
      "year": "1990",
      "journal-title": "Physica D"
    },
    {
      "key": "2024020122201901100_r52",
      "doi-asserted-by": "crossref",
      "first-page": "145",
      "DOI": "10.1016/0749-6036(92)90239-2",
      "volume": "11",
      "year": "1992",
      "journal-title": "Superlat. Microstruc."
    },
    {
      "key": "2024020122201901100_r53"
    },
    {
      "key": "2024020122201901100_r54",
      "doi-asserted-by": "crossref",
      "first-page": "6544",
      "DOI": "10.1103/PhysRevB.37.6544",
      "volume": "37",
      "year": "1988",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020122201901100_r55"
    },
    {
      "key": "2024020122201901100_r56"
    },
    {
      "key": "2024020122201901100_r57",
      "doi-asserted-by": "crossref",
      "first-page": "583",
      "DOI": "10.1103/PhysRevLett.64.583",
      "volume": "64",
      "year": "1990",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020122201901100_r57a",
      "doi-asserted-by": "crossref",
      "first-page": "219",
      "DOI": "10.1016/0003-4916(90)90275-S",
      "volume": "200",
      "year": "1990",
      "journal-title": "Ann. Phys."
    },
    {
      "key": "2024020122201901100_r58",
      "doi-asserted-by": "crossref",
      "first-page": "254",
      "DOI": "10.1016/0003-4916(85)90080-6",
      "volume": "161",
      "year": "1985",
      "journal-title": "Ann. Phys."
    },
    {
      "key": "2024020122201901100_r59"
    },
    {
      "key": "2024020122201901100_r60"
    },
    {
      "key": "2024020122201901100_r61"
    },
    {
      "key": "2024020122201901100_r62",
      "doi-asserted-by": "crossref",
      "first-page": "341",
      "DOI": "10.1016/0167-2789(83)90138-0",
      "volume": "7",
      "year": "1983",
      "journal-title": "Physica D"
    },
    {
      "key": "2024020122201901100_r63",
      "doi-asserted-by": "crossref",
      "first-page": "2225",
      "DOI": "10.1063/1.456017",
      "volume": "90",
      "year": "1989",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020122201901100_r64"
    },
    {
      "key": "2024020122201901100_r65",
      "doi-asserted-by": "crossref",
      "first-page": "834",
      "DOI": "10.1103/PhysRevLett.61.834",
      "volume": "61",
      "year": "1988",
      "journal-title": "Phys. Rev. Lett."
    }
  ],
  "container-title": "Chaos: An Interdisciplinary Journal of Nonlinear Science",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/cha/article-pdf/3/4/665/18300176/665_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/cha/article-pdf/3/4/665/18300176/665_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        1
      ]
    ],
    "date-time": "2024-02-01T23:04:25Z",
    "timestamp": 1706828665000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/cha/article/3/4/665/509236/Quantum-chaotic-scattering-effects-in"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1993,
        10,
        1
      ]
    ]
  },
  "references-count": 83,
  "journal-issue": {
    "issue": "4",
    "published-print": {
      "date-parts": [
        [
          1993,
          10,
          1
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.165928",
  "relation": {},
  "ISSN": [
    "1054-1500",
    "1089-7682"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1993,
        10
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1993,
        10,
        1
      ]
    ]
  }
}