Two-Dimensional Periodic Frustrated Ising Models in a Transverse Field

1999/10/31 by Roderich Moessner, R. Moessner, S. L. Sondhi +2 · 17 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Degeneracy (biology) #Frustration #Hexagonal lattice #Ising model #Lattice (music) #Phase transition #Physics #Quantum #Quantum fluctuation #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Theoretical and Computational Physics #Transverse field #cond-mat.stat-mech #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.84.4457

published as Phys. Rev. Lett. 84, 4457 (2000) · Revised introduction; numerical error in hexagonal section corrected

openalex publication_date 2000/05/08 · arxiv created 2000/05/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• On the ground state properties of the anisotropic triangular antiferromagnet

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