Valence-bond and spin-Peierls ground states of low-dimensional quantum antiferromagnets

Read, N.; Sachdev, Subir

doi:10.1103/PhysRevLett.62.1694

Valence-bond and spin-Peierls ground states of low-dimensional quantum antiferromagnets

N. Read
(
- CCAST World Lab, Beijing and
- Yale U.
)
,
Subir Sachdev
(
- CCAST World Lab, Beijing and
- Yale U.
)

Apr 3, 1989

3 pages

Published in:

Phys.Rev.Lett. 62 (1989) 1694-1697

DOI:

10.1103/PhysRevLett.62.1694

View in:

OSTI Information Bridge Server

reference search258 citations

Citations per year

Abstract: (APS)

The large-N limit of a nearest-neighbor SU(N) antiferromagnet on a bipartite lattice exhibits in dimensions d≥2 a zero-temperature phase transition between a Néel ordered state and a resonating-valence-bond state. Here it is shown in d=1,2 that topological effects produce spin-Peierls or valence-bond-solid order in the non-Néel phase with a ground-state degeneracy which varies periodically with ‘‘spin’’ for fixed N with periodicity given by the coordination number of the lattice. Thus a non-Néel phase of the spin-(1/2 Heisenberg model on a square lattice would be a spin-Peierls state with a fourfold degeneracy due to broken lattice rotational symmetry.

74.65.+n
75.10.Jm
75.50.Ee

References(25)

Figures(0)

- NOONE 64 188

Superconductivity at 93 K in a new mixed-phase Y-Ba-Cu-O compound system at ambient pressure

M.K. Wu
(
- Alabama U., Huntsville
)
,
J.R. Ashburn
(
- Alabama U., Huntsville
)
,
C.J. Torng
(
- Alabama U., Huntsville
)
,
P.H. Hor
(
- Houston U.
)
,
R.L. Meng
(
- Houston U.
)

et al.

- Phys.Rev.Lett. 58 (1987) 908-910
•
DOI:
- 10.1103/PhysRevLett.58.908

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

O (3) Nonlinear sigma Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions

F.D.M. Haldane
(
- UC, San Diego
)

- Phys.Rev.Lett. 61 (1988) 1029-1032
•
DOI:
- 10.1103/PhysRevLett.61.1029

Superconductivity and the Quantum Hard-Core Dimer Gas

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

Functional integral theories of low-dimensional quantum Heisenberg models

Daniel P. Arovas
(
- Chicago U.
)
,
Assa Auerbach
(
- Brookhaven
)

- Phys.Rev.B 38 (1988) 316-332
•
DOI:
- 10.1103/PhysRevB.38.316

- Phys.Rev.Lett. 61 617

Large n limit of the Heisenberg-Hubbard model: Implications for high t(c) supconductors

Ian Affleck
(
- British Columbia U.
)
,
J.Brad Marston
(
- Princeton U.
)

- Phys.Rev.B 37 (1987) 3774-3777
•
DOI:
- 10.1103/PhysRevB.37.3774

- J.Phys.C 16 3273

- J.Phys.C 18 2651

Systems with resonating-valence-bond ground states: Correlations and excitations

Bill Sutherland
(
- Utah U.
)

- Phys.Rev.B 37 (1988) 3786-3789
•
DOI:
- 10.1103/PhysRevB.37.3786

- Phys.Rev.Lett. 61 365

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

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

A 1/n Expandable Series of Nonlinear Sigma Models with Instantons

- Nucl.Phys.B 146 (1978) 63-76,
- In *Brezin, E. (ed.), Wadia, S.R. (ed.): The large N expansion in quantum field theory and statistical physics* 64-77. and In *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and particles* 432-436
•
DOI:
- 10.1016/0550-3213(78)90432-7