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

Abstract

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.

12 pages, 13 figures

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Cited by in corpus (13)

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• Grüneisen parameter as an entanglement compass and the breakdown of the Hellmann-Feynman theorem
• Selection of factorizable ground state in a frustrated spin tube: Order by disorder and hidden ferromagnetism
• Dynamics of correlation spreading in low-dimensional transverse-field Ising models
• Quantum phase diagram of two-dimensional transverse field Ising model: unconstrained tree tensor network and mapping analysis
• Phase diagram of J1-J2 transverse field Ising model on the checkerboard lattice: a plaquette-operator approach
• Finite-temperature phase transitions in the quantum fully frustrated Ising models
• Magnons in a two dimensional transverse field XXZ model
• Role of Frustration in a Weakly Disordered Checkerboard Lattice
• Effect of spin-orbit coupling on spin and orbital ordering in Sr${}_{n+1}$Cr${}_n$O${}_{3n+1}$, $n=1,2$
• Simplex Crystal Ground State and Magnetization Plateaus in the Spin-$1/2$ Heisenberg Model on the Ruby Lattice