Two-dimensional periodic frustrated Ising models in a transverse field
Abstract
We investigate the effect of introducing quantum dynamics via a transverse magnetic field to periodic frustrated Ising systems at zero temperature. We find that such dynamics can lead to unusual ordered phases and phase transitions or to a quantum spin liquid (cooperative paramagnetic) phase as in the triangular and kagome lattice antiferromagnets, respectively. For the latter, we further predict passage to a bond-ordered phase followed by a critical phase as the field is tilted. These systems also provide exact realizations of quantum dimer models introduced in studies of high temperature superconductivity.Keywords
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