Two-dimensional periodic frustrated Ising models in a transverse field

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Revised introduction; numerical error in hexagonal section corrected

Scientific paper

10.1103/PhysRevLett.84.4457

We investigate the interplay of classical degeneracy and quantum dynamics in a range of periodic frustrated transverse field 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.

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