Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodicity of the Hybridization-Expansion Monte Carlo Algorithm for
  Broken-Symmetry States   With the success of dynamical mean field theories, solvers for
quantum-impurity problems have become an important tool for the numerical study
of strongly correlated systems. Continuous-time Quantum Monte Carlo sampling of
the expansion in powers of the hybridization between the ``impurity'' and the
bath provides a powerful solver when interactions are strong. Here we show that
the usual updates that add or remove a pair of creation-annihilation operators
are rigorously not ergodic for several classes of broken-symmetries that
involve spatial components. We show that updates with larger numbers of
simultaneous updates of pairs of creation-annihilation operators remedy this
problem. As an example, we apply the four operator updates that are necessary
for ergodicity to the case of d-wave superconductivity in plaquette dynamical
mean-field theory for the one-band Hubbard model. While the results are
qualitatively similar to those previously published, they are quantitatively
better that previous ones, being closer to those obtained by other approaches.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
2
The categories of this paper are: math