Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ising models of quantum frustration   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.

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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph