Ising models of quantum frustration

Details Ising models of quantum frustration Ising models of quantum frustration

2000-11-15

arxiv.org/abs/cond-mat/0011250v1

Phys. Rev. B 63, 224401 (2001)

Physics

Condensed Matter

Statistical Mechanics

21 pages latex; 20 figures automatically included

Scientific paper

10.1103/PhysRevB.63.224401

We report on a systematic study of two dimensional, periodic, frustrated Ising models with a quantum dynamics introduced via a transverse magnetic field. The systems studied are the triangular and kagome lattice antiferromagnets, fully frustrated models on the square and hexagonal (honeycomb) lattices, a planar analog of the pyrochlore antiferromagnet, a pentagonal lattice antiferromagnet as well as a two quasi one-dimensional lattices that have considerable pedagogical value. All of these exhibit a macroscopic degeneracy at T=0 in the absence of the transverse field, which enters as a singular perturbation. We analyze these systems with a combination of a variational method at weak fields, a perturbative Landau-Ginzburg-Wilson (LGW) approach from large fields as well as quantum Monte Carlo simulations utilizing a cluster algorithm. Our results include instances of quantum order arising from classical criticality (triangular lattice) or classical disorder (pentagonal and probably hexagonal) as well as notable instances of quantum disorder arising from classical disorder (kagome). We also discuss the effect of a finite temperature, as well as the interplay between longitudinal and transverse fields--in the kagome problem the latter gives rise to a non-trivial phase diagram with bond-ordered and bond-critical phases in addition to the disordered phase. We also note connections to quantum dimer models and thereby to the physics of Heisenberg antiferromagnets in short-ranged resonating valence bond phases that have been invoked in discussions of high-temperature superconductivity.

Affiliated with

Also associated with

No associations

Rating

Ising models of quantum frustration does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ising models of quantum frustration, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ising models of quantum frustration will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-250839