Spin-wave analysis of the transverse-field Ising model on the checkerboard lattice

Details Spin-wave analysis of the transverse-field Ising model on the checkerboard lattice Spin-wave analysis of the transverse-field Ising model on the checkerboard lattice

2012-02-07

arxiv.org/abs/1202.1462v1

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 13 figures

Scientific paper

The ground state properties of the S=1/2 transverse-field Ising model on the checkerboard lattice are studied using linear spin wave theory. We consider the general case of different couplings between nearest neighbors (J1) and next-to-nearest neighbors (J2). In zero field the system displays a large degeneracy of the ground state, which is exponential in the system size (for J1=J2) or in the system's linear dimensions (for J2>J1). Quantum fluctuations induced by a transverse field are found to be unable to lift this degeneracy in favor of a classically ordered state at the harmonic level. This remarkable fact suggests that a quantum-disordered ground state can be instead promoted when non-linear fluctuations are accounted for, in agreement with existing results for the isotropic case J1=J2. Moreover spin-wave theory shows sizable regions of instability which are further candidates for quantum-disordered behavior.

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