Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of d-density wave viewed from a vertex model and its implications   The thermal disordering of the $d$-density wave, proposed to be the origin of
the pseudogap state of high temperature superconductors, is suggested to be the
same as that of the statistical mechanical model known as the 6-vertex model.
The low temperature phase consists of a staggered order parameter of
circulating currents, while the disordered high temperature phase is a
power-law phase with no order. A special feature of this transition is the
complete lack of an observable specific heat anomaly at the transition. There
is also a transition at a even higher temperature at which the magnitude of the
order parameter collapses. These results are due to classical thermal
fluctuations and are entirely unrelated to a quantum critical point in the
ground state. The quantum mechanical ground state can be explored by
incorporating processes that causes transitions between the vertices, allowing
us to discuss quantum phase transition in the ground state as well as the
effect of quantum criticality at a finite temperature as distinct from the
power-law fluctuations in the classical regime. A generalization of the model
on a triangular lattice that leads to a 20-vertex model may shed light on the
Wigner glass picture of the metal-insulator transition in two-dimensional
electron gas. The power-law ordered high temperature phase may be generic to a
class of constrained systems and its relation to recent advances in the quantum
dimer models is noted.

25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th