Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterizing symmetry breaking patterns in a lattice by dual vortex
  degree of freedoms   A duality transformation in quantum field theory is usually established first
through partition functions. It is always important to explore the dual
relations between various correlation functions in the transformation. Here, we
explore such a dual relation to study quantum phases and phase transitions in
an extended boson Hubbard model at 1/3 (2/3) filling on a triangular lattice.
  We develop systematically a simple and effective way to use the vortex degree
of freedoms on dual lattices to characterize both the density wave and valence
bond symmetry breaking patterns of the boson insulating states in the direct
lattices.
  In addition to a checkerboard charge density wave (X-CDW) and a stripe CDW,
we find a novel CDW-VBS phase which has both local CDW and local valence bond
solid (VBS) orders. Implications on QMC simulations are addressed.
  The possible experimental realizations of cold atoms loaded on optical
lattices are discussed.

32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th