Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology-driven phase transitions in the classical monomer-dimer-loop
  model   In this work, we investigate the classical loop models doped with monomers
and dimers on a square lattice, whose partition function can be expressed as a
tensor network (TN). In the thermodynamic limit, we use the boundary matrix
product state technique to contract the partition function TN, and determine
the thermodynamic properties with high accuracy. In this monomer-dimer-loop
model, we find a second-order phase transition between a trivial
monomer-condensation and a loop-condensation (LC) phases, which can not be
distinguished by any local order parameter, while nevertheless the two phases
have distinct topological properties. In the LC phase, we find two degenerate
dominating eigenvalues in the transfer-matrix spectrum, as well as a
non-vanishing (nonlocal) string order parameter, both of which identify the
\textit{topological ergodicity breaking} in the LC phase and can serve as the
order parameter for detecting the phase transitions.

33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat