Absence of the Hopf invariant in the long-wavelength action of two-dimensional quantum antiferromagnets

Dombre, T.; Read, N.

doi:10.1103/PhysRevB.38.7181

Absence of the Hopf invariant in the long-wavelength action of two-dimensional quantum antiferromagnets

T. Dombre
(
- MIT
)
,
N. Read
(
- MIT
)

Oct 1, 1988

2 pages

Published in:

Phys.Rev.B 38 (1988) 7181-7183

DOI:

10.1103/PhysRevB.38.7181

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Abstract: (APS)

Contrary to recent theoretical suggestions, we show that the long-wavelength action of a two-dimensional quantum antiferromagnet on a square lattice can be mapped onto a classical (2+1) nonlinear σ model without any additional topological term.

References(12)

Figures(0)

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

Two-dimensional antiferromagnetic quantum spin-fluid state in La Cu-2 O-4

et al.

- Phys.Rev.Lett. 59 (1987) 1613-1616
•
DOI:
- 10.1103/PhysRevLett.59.1613

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

Neutral fermions in paramagnetic insulators

I. Dzyaloshinsky
(
- Landau Inst.
)
,
Alexander M. Polyakov
(
- Landau Inst.
)
,
P. Wiegmann
(
- Landau Inst.
)

- Phys.Lett.A 127 (1988) 112-114
•
DOI:
- 10.1016/0375-9601(88)90395-7

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

Linking Numbers, Spin, and Statistics of Solitons

Frank Wilczek
(
- Santa Barbara, KITP
)
,
A. Zee
(
- Santa Barbara, KITP and
- Washington U., Seattle
)

- Phys.Rev.Lett. 51 (1983) 2250-2252,
- Phys. Rev. Lett. 51 (1983) 2250-2252 and Calif. Univ. Santa Barbara - NSF-ITP-83-148 (83,REC.NOV.) 11 P. (313238),
- IN *SHAPERE, A. (ED.), WILCZEK, F. (ED.): GEOMETRIC PHASES IN PHYSICS* 254-256. (PHYS. REV. LETT. 51 (1983) 2250-2252) AND CALIF. UNIV. SANTA BARBARA - NSF-ITP-83-148 (83,REC.NOV.) 11 P. (SEE BOOK INDEX)
•
DOI:
- 10.1103/PhysRevLett.51.2250

Resonating–valence-bond theory of phase transitions and superconductivity in La $_{2}$ CuO $_{4}$ -based compounds

- Phys.Rev.Lett. 58 (1987) 26, 2790-2793
•
DOI:
- 10.1103/PhysRevLett.58.2790

Path Integrals and Stationary Phase Approximations

John R. Klauder
(
- Bell Labs
)

- Phys.Rev.D 19 (1979) 2349
•
DOI:
- 10.1103/PhysRevD.19.2349

Comments on the Hopf Lagrangian and Fractional Statistics of Solitons

- Phys.Lett.B 147 (1984) 325-329
•
DOI:
- 10.1016/0370-2693(84)90126-6

Isomeric States of Quantum Fields

Alexander M. Polyakov
(
- Landau Inst.
)

- Zh.Eksp.Teor.Fiz. 68 (1975) 1975