Nonlinear Sigma model method for the J1-J2 Heisenberg model: disordered ground state with plaquette symmetry

Preprint

29 October 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0306632

Abstract

A novel nonlinear sigma model method is proposed for the two-dimensional J1-J2 model, which is extended to include plaquette-type distortion. The nonlinear sigma model is properly derived without spoiling the original spin degrees of freedom. The method shows that a single disordered phase continuously extends from a frustrated uniform regime to an unfrustrated distorted regime. By the continuity and Oshikawa's commensurability condition, the disordered ground states for the uniform J1-J2 model are plaquette states with four-fold degeneracy.

Keywords

NONLINEAR SIGMA MODEL
DISORDERED GROUND
PLAQUETTE STATES
MODEL METHOD
SIGMA MODEL
J1 J2

All Related Versions

Version 1, 2003-06-25, ArXiv
Version 2, 2003-10-29, ArXiv
Published version: Physical Review Letters, 91 (19), 197202.

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