Holes in a Quantum Antiferromagnet: New Approach and Exact Results

Shankar, R.

doi:10.1103/PhysRevLett.63.203

Holes in a Quantum Antiferromagnet: New Approach and Exact Results

R. Shankar
(
- Santa Barbara, KITP
)

Apr 26, 1989

12 pages

Published in:

Phys.Rev.Lett. 63 (1989) 203,
Phys.Rev.Lett. 63 (1989) 1029 (erratum)

DOI:

10.1103/PhysRevLett.63.203,
10.1103/PhysRevLett.63.1029.2 (erratum)

Report number:

NSF-ITP-89-39

View in:

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Abstract: (APS)

It is shown that holes on the A and B sublattices of a spin-s antiferromagnet behave as charges ±s coupled to a gauge field aμ(n), n being the local order parameter. This general formalism can be pursued very far in d=1 where the finite-hole-concentration problem is described by massless fermions coupled to the σ model. Many exact results follow: Holes superconduct, destroy the quasi-long-range order, and wipe out the Θ term which distinguishes between integer and half-integer models or describes bond-strength alternation.

References(21)

Figures(0)

- NOONE 64 189

The Resonating valence bond state in La-2 CuO-4 and superconductivity

Philip W. Anderson
(
- Princeton U.
)

- Science 235 (1987) 1196-1198
•
DOI:
- 10.1126/science.235.4793.1196

Ferromagnetism in a Narrow, Almost Half-Filled s Band

Yosuke Nagaoka
(
- UC, San Diego
)

- Phys.Rev. 147 (1966) 392-405
•
DOI:
- 10.1103/PhysRev.147.392

- Phys.Rev. 2 1324

- Phys.Rev.Lett. 60 740

- Phys.Rev.Lett. 60 2793

- Phys.Rev. 37 1597

Magnetic phase diagram and magnetic pairing in doped La_{2}CuO_{4}

- Phys.Rev.Lett. 60 (1988) 1330
•
DOI:
- 10.1103/PhysRevLett.60.1330

SPIN BAG MECHANISM OF HIGH TEMPERATURE SUPERCONDUCTIVITY

J.R. Schrieffer
(
- Santa Barbara, KITP
)
,
X.G. Wen
(
- Santa Barbara, KITP
)
,
S.C. Zhang
(
- Santa Barbara, KITP
)

- Phys.Rev.Lett. 60 (1988) 10, 944
•
DOI:
- 10.1103/PhysRevLett.60.944

Superconductivity in strongly correlated electronic systems and confinement versus deconfinement phenomenon

P.B. Wiegmann
(
- Landau Inst.
)

- Phys.Rev.Lett. 60 (1988) 821-824
•
DOI:
- 10.1103/PhysRevLett.60.821

Superconductivity and the Quantum Hard-Core Dimer Gas

- Phys.Rev.Lett. 61 (1988) 2376-2379
•
DOI:
- 10.1103/PhysRevLett.61.2376

Continuum dynamics of the 1-D Heisenberg antiferromagnetic identification with the O(3) nonlinear sigma model

F.D.M. Haldane
(
- Southern California U.
)

- Phys.Lett.A 93 (1983) 464-468
•
DOI:
- 10.1016/0375-9601(83)90631-X

Nonlinear field theory of large spin Heisenberg antiferromagnets. Semiclassically quantized solitons of the one-dimensional easy Axis Neel state

F.D.M. Haldane
(
- Southern California U.
)

- Phys.Rev.Lett. 50 (1983) 1153-1156
•
DOI:
- 10.1103/PhysRevLett.50.1153

The Quantum Hall Effect, $\sigma$ Models at $\theta = \pi$ and Quantum Spin Chains

Ian Affleck
(
- Saclay
)

- Nucl.Phys.B 257 (1985) 397-406
•
DOI:
- 10.1016/0550-3213(85)90353-0

- Phys.Rev. 12 3908

A Supersymmetric Form of the Nonlinear Sigma Model in Two-Dimensions

Edward Witten
(
- Harvard U.
)

- Phys.Rev.D 16 (1977) 2991
•
DOI:
- 10.1103/PhysRevD.16.2991

Instantons, the Quark Model, and the 1/n Expansion

Edward Witten
(
- Harvard U.
)

- Nucl.Phys.B 149 (1979) 285-320
•
DOI:
- 10.1016/0550-3213(79)90243-8

The Structure of the Gauge Theory Vacuum

Curtis G. Callan, Jr.
(
- Princeton U.
)
,
R.F. Dashen
(
- Princeton, Inst. Advanced Study
)
,
David J. Gross
(
- Princeton U.
)

- Phys.Lett.B 63 (1976) 334-340,
- Also in *Mohapatra, R. N. (ed.), Lai, C. H. (ed.): Gauge Theories Of Fundamental Interactions*, 378-384,
- Also in *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and Particles*, 770-776. ( Phys. Lett. B63 ( 1976) 334-340) and Preprint - CALLAN, C.G. (REC.AUG.76) 18p,
•
DOI:
- 10.1016/0370-2693(76)90277-X

Vacuum Periodicity in a Yang-Mills Quantum Theory

R. Jackiw
(
- MIT, LNS
)
,
C. Rebbi
(
- MIT, LNS
)

- Phys.Rev.Lett. 37 (1976) 172-175,
•
DOI:
- 10.1103/PhysRevLett.37.172

The Quantum Sine-Gordon Equation as the Massive Thirring Model

Sidney R. Coleman
(
- Harvard U.
)

- Phys.Rev.D 11 (1975) 2088,
•
DOI:
- 10.1103/PhysRevD.11.2088

The S Matrix of the Supersymmetric Nonlinear Sigma Model

R. Shankar
(
- Yale U.
)
,
Edward Witten
(
- Harvard U.
)

- Phys.Rev.D 17 (1978) 2134
•
DOI:
- 10.1103/PhysRevD.17.2134