DOI: 10.1063/1.91682. Quantum-mechanical estimates of the speed of field ionization of shallow impurity levels

Quantum-mechanical estimates of the speed of field ionization of shallow impurity levels

10.1063/1.91682

Crossref journal-article

AIP Publishing

Applied Physics Letters (317)

Abstract

Using a Kohn-Luttinger approach to shallow impurity levels in semiconductors, we estimate the speed of charge release associated with field ionization. At sufficiently low temperatures, this is predominantly a quantum-mechanical process. It is found that charge release times in the picosecond regime may be achievable in prebreakdown fields in semiconductors. In GaAs, one picosecond release times correspond to fields of 0.2 V/μ and field energy densities of 2×10−18 J/μ3. In the picosecond regime, our estimates rely on published, mutually consistent Stark width results obtained by various techniques including dispersion relations and Weyl’s complex-eigenvalue method.

Bibliography

Chaudhuri, S., Coon, D. D., & Derkits, G. E. (1980). Quantum-mechanical estimates of the speed of field ionization of shallow impurity levels. Applied Physics Letters, 37(1), 111â113.

Authors 3

Siddheswar Chaudhuri (first)
Darryl D. Coon (additional)
Gustav E. Derkits (additional)

References 31 Referenced 18

10.1063/1.90572 / Appl. Phys. Lett. (1979)
10.1103/PhysRevLett.41.576 / Phys. Rev. Lett. (1978)
{'key': '2024020511511755100_r2', 'first-page': '917', 'volume': '20', 'year': '1978', 'journal-title': 'Sov. Phys. Solid State'} / Sov. Phys. Solid State (1978)
{'key': '2024020511511755100_r2a', 'first-page': '1327', 'volume': '19', 'year': '1977', 'journal-title': 'Sov. Phys. Solid State'} / Sov. Phys. Solid State (1977)
{'key': '2024020511511755100_r3', 'first-page': '1', 'volume': '3', 'year': '1956', 'journal-title': 'Halbleiterprobleme'} / Halbleiterprobleme (1956)
10.1139/p59-158 / Can. J. Phys. (1959)
10.1103/PhysRev.119.1502 / Phys. Rev. (1960)
{'key': '2024020511511755100_r5'}
10.1016/0370-1573(79)90090-5 / Phys. Rep. (1979)
{'key': '2024020511511755100_r7'}
10.1007/BF01390967 / Z. Phys. (1931)
10.1103/PhysRevA.10.1494 / Phys. Rev. A (1974)
10.1016/0003-4916(79)90396-8 / Ann. Phys. (1979)
10.1103/PhysRevLett.43.1498 / Phys. Rev. Lett. (1979)
10.1103/PhysRev.97.883 / Phys. Rev. (1955)
10.1103/PhysRev.178.34 / Phys. Rev. (1969)
10.1103/PhysRevB.10.621 / Phys. Rev. B (1974)
10.1088/0034-4885/37/9/001 / Rep. Prog. Phys. (1974)
10.1088/0022-3719/10/21/004 / J. Phys. C (1977)
{'key': '2024020511511755100_r14a'}
{'key': '2024020511511755100_r15'}
{'key': '2024020511511755100_r16'}
{'key': '2024020511511755100_r17'}
10.1103/PhysRevB.1.1603 / Phys. Rev. B (1970)
10.1016/0038-1098(69)90543-2 / Solid State Commun. (1969)
10.1103/PhysRev.184.713 / Phys. Rev. (1969)
10.1103/PhysRevB.2.3976 / Phys. Rev. B (1970)
{'key': '2024020511511755100_r21a', 'first-page': '675', 'volume': '145', 'year': '1960', 'journal-title': 'Phys. Rev.'} / Phys. Rev. (1960)
{'key': '2024020511511755100_r22'}
{'key': '2024020511511755100_r23'}
{'key': '2024020511511755100_r23a'}

Dates

Type	When
Created	22 years, 6 months ago (Feb. 13, 2003, 3:58 p.m.)
Deposited	1 year, 6 months ago (Feb. 5, 2024, 7:31 a.m.)
Indexed	1 month ago (Aug. 2, 2025, 1:04 a.m.)
Issued	45 years, 2 months ago (July 1, 1980)
Published	45 years, 2 months ago (July 1, 1980)
Published Print	45 years, 2 months ago (July 1, 1980)

Funders 0

None

BibTeX

@article{Chaudhuri_1980, title={Quantum-mechanical estimates of the speed of field ionization of shallow impurity levels}, volume={37}, ISSN={1077-3118}, url={http://dx.doi.org/10.1063/1.91682}, DOI={10.1063/1.91682}, number={1}, journal={Applied Physics Letters}, publisher={AIP Publishing}, author={Chaudhuri, Siddheswar and Coon, Darryl D. and Derkits, Gustav E.}, year={1980}, month=jul, pages={111–113} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        2
      ]
    ],
    "date-time": "2025-08-02T05:04:40Z",
    "timestamp": 1754111080790
  },
  "reference-count": 31,
  "publisher": "AIP Publishing",
  "issue": "1",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1980,
        7,
        1
      ]
    ]
  },
  "abstract": "<jats:p>Using a Kohn-Luttinger approach to shallow impurity levels in semiconductors, we estimate the speed of charge release associated with field ionization. At sufficiently low temperatures, this is predominantly a quantum-mechanical process. It is found that charge release times in the picosecond regime may be achievable in prebreakdown fields in semiconductors. In GaAs, one picosecond release times correspond to fields of 0.2 V/\u03bc and field energy densities of 2\u00d710\u221218\u2009J/\u03bc3. In the picosecond regime, our estimates rely on published, mutually consistent Stark width results obtained by various techniques including dispersion relations and Weyl\u2019s complex-eigenvalue method.</jats:p>",
  "DOI": "10.1063/1.91682",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2003,
        2,
        13
      ]
    ],
    "date-time": "2003-02-13T20:58:23Z",
    "timestamp": 1045169903000
  },
  "page": "111-113",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 18,
  "title": "Quantum-mechanical estimates of the speed of field ionization of shallow impurity levels",
  "prefix": "10.1063",
  "volume": "37",
  "author": [
    {
      "given": "Siddheswar",
      "family": "Chaudhuri",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260"
        }
      ]
    },
    {
      "given": "Darryl D.",
      "family": "Coon",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260"
        }
      ]
    },
    {
      "given": "Gustav E.",
      "family": "Derkits",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024020511511755100_r1",
      "doi-asserted-by": "crossref",
      "first-page": "94",
      "DOI": "10.1063/1.90572",
      "volume": "34",
      "year": "1979",
      "journal-title": "Appl. Phys. Lett."
    },
    {
      "key": "2024020511511755100_r1a",
      "doi-asserted-by": "crossref",
      "first-page": "576",
      "DOI": "10.1103/PhysRevLett.41.576",
      "volume": "41",
      "year": "1978",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020511511755100_r2",
      "first-page": "917",
      "volume": "20",
      "year": "1978",
      "journal-title": "Sov. Phys. Solid State"
    },
    {
      "key": "2024020511511755100_r2a",
      "first-page": "1327",
      "volume": "19",
      "year": "1977",
      "journal-title": "Sov. Phys. Solid State"
    },
    {
      "key": "2024020511511755100_r3",
      "first-page": "1",
      "volume": "3",
      "year": "1956",
      "journal-title": "Halbleiterprobleme"
    },
    {
      "key": "2024020511511755100_r3a",
      "doi-asserted-by": "crossref",
      "first-page": "1374",
      "DOI": "10.1139/p59-158",
      "volume": "37",
      "year": "1959",
      "journal-title": "Can. J. Phys."
    },
    {
      "key": "2024020511511755100_r4",
      "doi-asserted-by": "crossref",
      "first-page": "1502",
      "DOI": "10.1103/PhysRev.119.1502",
      "volume": "119",
      "year": "1960",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "2024020511511755100_r5"
    },
    {
      "key": "2024020511511755100_r6",
      "doi-asserted-by": "crossref",
      "first-page": "317",
      "DOI": "10.1016/0370-1573(79)90090-5",
      "volume": "51",
      "year": "1979",
      "journal-title": "Phys. Rep."
    },
    {
      "key": "2024020511511755100_r7"
    },
    {
      "key": "2024020511511755100_r7a",
      "doi-asserted-by": "crossref",
      "first-page": "204",
      "DOI": "10.1007/BF01390967",
      "volume": "68",
      "year": "1931",
      "journal-title": "Z. Phys."
    },
    {
      "key": "2024020511511755100_r8",
      "doi-asserted-by": "crossref",
      "first-page": "1494",
      "DOI": "10.1103/PhysRevA.10.1494",
      "volume": "10",
      "year": "1974",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024020511511755100_r9",
      "doi-asserted-by": "crossref",
      "first-page": "385",
      "DOI": "10.1016/0003-4916(79)90396-8",
      "volume": "120",
      "year": "1979",
      "journal-title": "Ann. Phys."
    },
    {
      "key": "2024020511511755100_r9a",
      "doi-asserted-by": "crossref",
      "first-page": "1498",
      "DOI": "10.1103/PhysRevLett.43.1498",
      "volume": "43",
      "year": "1979",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020511511755100_r10",
      "doi-asserted-by": "crossref",
      "first-page": "883",
      "DOI": "10.1103/PhysRev.97.883",
      "volume": "97",
      "year": "1955",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "2024020511511755100_r11",
      "doi-asserted-by": "crossref",
      "first-page": "34",
      "DOI": "10.1103/PhysRev.178.34",
      "volume": "178",
      "year": "1969",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "2024020511511755100_r12",
      "doi-asserted-by": "crossref",
      "first-page": "621",
      "DOI": "10.1103/PhysRevB.10.621",
      "volume": "10",
      "year": "1974",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020511511755100_r13",
      "doi-asserted-by": "crossref",
      "first-page": "1099",
      "DOI": "10.1088/0034-4885/37/9/001",
      "volume": "37",
      "year": "1974",
      "journal-title": "Rep. Prog. Phys."
    },
    {
      "key": "2024020511511755100_r14",
      "doi-asserted-by": "crossref",
      "first-page": "L605",
      "DOI": "10.1088/0022-3719/10/21/004",
      "volume": "10",
      "year": "1977",
      "journal-title": "J. Phys. C"
    },
    {
      "key": "2024020511511755100_r14a"
    },
    {
      "key": "2024020511511755100_r15"
    },
    {
      "key": "2024020511511755100_r16"
    },
    {
      "key": "2024020511511755100_r17"
    },
    {
      "key": "2024020511511755100_r18",
      "doi-asserted-by": "crossref",
      "first-page": "1603",
      "DOI": "10.1103/PhysRevB.1.1603",
      "volume": "1",
      "year": "1970",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020511511755100_r19",
      "doi-asserted-by": "crossref",
      "first-page": "921",
      "DOI": "10.1016/0038-1098(69)90543-2",
      "volume": "7",
      "year": "1969",
      "journal-title": "Solid State Commun."
    },
    {
      "key": "2024020511511755100_r20",
      "doi-asserted-by": "crossref",
      "first-page": "713",
      "DOI": "10.1103/PhysRev.184.713",
      "volume": "184",
      "year": "1969",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "2024020511511755100_r21",
      "doi-asserted-by": "crossref",
      "first-page": "3976",
      "DOI": "10.1103/PhysRevB.2.3976",
      "volume": "2",
      "year": "1970",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020511511755100_r21a",
      "first-page": "675",
      "volume": "145",
      "year": "1960",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "2024020511511755100_r22"
    },
    {
      "key": "2024020511511755100_r23"
    },
    {
      "key": "2024020511511755100_r23a"
    }
  ],
  "container-title": "Applied Physics Letters",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/apl/article-pdf/37/1/111/18441729/111_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/apl/article-pdf/37/1/111/18441729/111_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        5
      ]
    ],
    "date-time": "2024-02-05T12:31:02Z",
    "timestamp": 1707136262000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/apl/article/37/1/111/526926/Quantum-mechanical-estimates-of-the-speed-of-field"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1980,
        7,
        1
      ]
    ]
  },
  "references-count": 31,
  "journal-issue": {
    "issue": "1",
    "published-print": {
      "date-parts": [
        [
          1980,
          7,
          1
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.91682",
  "relation": {},
  "ISSN": [
    "0003-6951",
    "1077-3118"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1980,
        7,
        1
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1980,
        7,
        1
      ]
    ]
  }
}