DOI: 10.1126/science.1066974. A Four Unit Cell Periodic Pattern of Quasi-Particle States Surrounding Vortex Cores in Bi 2 Sr 2 CaCu 2 O 8+δ

A Four Unit Cell Periodic Pattern of Quasi-Particle States Surrounding Vortex Cores in Bi 2 Sr 2 CaCu 2 O 8+δ

10.1126/science.1066974

Crossref journal-article

American Association for the Advancement of Science (AAAS)

Science (221)

Abstract

Scanning tunneling microscopy is used to image the additional quasi-particle states generated by quantized vortices in the high critical temperature superconductor Bi 2 Sr 2 CaCu 2 O 8+δ . They exhibit a copper-oxygen bond–oriented “checkerboard” pattern, with four unit cell (4 a 0 ) periodicity and a ∼30 angstrom decay length. These electronic modulations may be related to the magnetic field–induced, 8 a 0 periodic, spin density modulations with decay length of ∼70 angstroms recently discovered in La 1.84 Sr 0.16 CuO 4 . The proposed explanation is a spin density wave localized surrounding each vortex core. General theoretical principles predict that, in the cuprates, a localized spin modulation of wavelength λ should be associated with a corresponding electronic modulation of wavelength λ/2, in good agreement with our observations.

Bibliography

Hoffman, J. E., Hudson, E. W., Lang, K. M., Madhavan, V., Eisaki, H., Uchida, S., & Davis, J. C. (2002). A Four Unit Cell Periodic Pattern of Quasi-Particle States Surrounding Vortex Cores in Bi 2 Sr 2 CaCu 2 O 8+Î´. Science, 295(5554), 466â469.

Authors 7

J. E. Hoffman (first)
E. W. Hudson (additional)
K. M. Lang (additional)
V. Madhavan (additional)
H. Eisaki (additional)
S. Uchida (additional)
J. C. Davis (additional)

References 35 Referenced 802

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We acknowledge and thank S. Sachdev S. Kivelson D.-H. Lee E. Demler S.-C. Zhang J. Sethna G. Aeppli J. Orenstein W. Halperin and S. H. Pan for helpful conversations and communications. This work was funded by the Office of Naval Research the Materials Sciences Division of Lawrence Berkeley National Laboratory the CULAR Program of Los Alamos National Laboratory as well as a Grant-in-Aids for Scientific Research a COE Grant from the Ministry of Education and an International Joint Research Grant from the New Energy and Industrial Technology Organization in Japan. J.E.H. acknowledges support by a Hertz Fellowship K.M.L. by an IBM Fellowship and J.C.D. by a Miller Professorship.

Dates

Type	When
Created	23 years ago (July 27, 2002, 5:47 a.m.)
Deposited	1 year, 7 months ago (Jan. 9, 2024, 4:09 p.m.)
Indexed	4 days, 12 hours ago (Aug. 19, 2025, 6:19 a.m.)
Issued	23 years, 7 months ago (Jan. 18, 2002)
Published	23 years, 7 months ago (Jan. 18, 2002)
Published Print	23 years, 7 months ago (Jan. 18, 2002)

Funders 0

None

BibTeX

@article{Hoffman_2002, title={A Four Unit Cell Periodic Pattern of Quasi-Particle States Surrounding Vortex Cores in Bi 2 Sr 2 CaCu 2 O 8+δ}, volume={295}, ISSN={1095-9203}, url={http://dx.doi.org/10.1126/science.1066974}, DOI={10.1126/science.1066974}, number={5554}, journal={Science}, publisher={American Association for the Advancement of Science (AAAS)}, author={Hoffman, J. E. and Hudson, E. W. and Lang, K. M. and Madhavan, V. and Eisaki, H. and Uchida, S. and Davis, J. C.}, year={2002}, month=jan, pages={466–469} }

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  "abstract": "<jats:p>\n            Scanning tunneling microscopy is used to image the additional quasi-particle states generated by quantized vortices in the high critical temperature superconductor Bi\n            <jats:sub>2</jats:sub>\n            Sr\n            <jats:sub>2</jats:sub>\n            CaCu\n            <jats:sub>2</jats:sub>\n            O\n            <jats:sub>8+\u03b4</jats:sub>\n            . They exhibit a copper-oxygen bond\u2013oriented \u201ccheckerboard\u201d pattern, with four unit cell (4\n            <jats:italic>a</jats:italic>\n            <jats:sub>0</jats:sub>\n            ) periodicity and a \u223c30 angstrom decay length. These electronic modulations may be related to the magnetic field\u2013induced, 8\n            <jats:italic>a</jats:italic>\n            <jats:sub>0</jats:sub>\n            periodic, spin density modulations with decay length of \u223c70 angstroms recently discovered in La\n            <jats:sub>1.84</jats:sub>\n            Sr\n            <jats:sub>0.16</jats:sub>\n            CuO\n            <jats:sub>4</jats:sub>\n            . The proposed explanation is a spin density wave localized surrounding each vortex core. General theoretical principles predict that, in the cuprates, a localized spin modulation of wavelength \u03bb should be associated with a corresponding electronic modulation of wavelength \u03bb/2, in good agreement with our observations.\n          </jats:p>",
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