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Colloquium: Order and quantum phase transitions in the cuprate superconductors
Open accessAbstract
It is now widely accepted that the cuprate superconductors are characterized by a long-range order similar to that present in the Bardeen-Cooper-Schrieffer (BCS) theory, that associated with the condensation of Cooper pairs. The author argues that many physical properties of the cuprates require interplay with additional order parameters associated with a proximate Mott insulator. A classification of Mott insulators in two dimensions is proposed. Experimental evidence so far shows that the class appropriate to the cuprates has collinear spin correlations, bond order, and confinement of neutral, spin $S=1/2$ excitations. Proximity to second-order quantum phase transitions associated with these orders, and with the pairing order of BCS, has led to systematic predictions for many physical properties. In this context the author reviews the results of recent neutron scattering, fluxoid detection, nuclear magnetic resonance, and scanning tunneling microscopy experiments.
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Cites
Possible highT c superconductivity in the Ba?La?Cu?O system
Bednorz, J. G., & M�ller, K. A. (1986) · Zeitschrift f�r Physik B Condensed Matter · doi:10.1007/bf01303701 · Cited by 14,319
Evidence for stripe correlations of spins and holes in copper oxide superconductors
Tranquada, J. M., Sternlieb, B. J., Axe, J. D., Nakamura, Y., & Uchida, S. (1995) · Nature · doi:10.1038/375561a0 · Cited by 3,144
Cited by
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Lee, P. A., Nagaosa, N., & Wen, X.-G. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.17 · Cited by 4,506
How to detect fluctuating stripes in the high-temperature superconductors
Kivelson, S. A., Bindloss, I. P., Fradkin, E., Oganesyan, V., Tranquada, J. M., Kapitulnik, A., & Howald, C. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.1201 · Cited by 1,369
Colloquium : Theory of intertwined orders in high temperature superconductors
Fradkin, E., Kivelson, S. A., & Tranquada, J. M. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.457 · Cited by 1,070
Electrodynamics of high-Tcsuperconductors
Basov, D. N., & Timusk, T. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.721 · Cited by 788
Quantum simulation of frustrated Ising spins with trapped ions
Kim, K., Chang, M.-S., Korenblit, S., Islam, R., Edwards, E. E., Freericks, J. K., Lin, G.-D., Duan, L.-M., & Monroe, C. (2010) · Nature · doi:10.1038/nature09071 · Cited by 750
Metadata
- Authors
- Sachdev, S.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2003-07-16
- Volume
- 75
- Issue
- 3
- Pages
- 913-932
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W2963687037
- Cited by
- 385
- References
- 2
- FWCI
- 29.59
- Type
- journal article
- Language
- en
- Open access
- green
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