Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-temperature fidelity and von Neumann entropy in the honeycomb
  spin lattice with quantum Ising interaction   The finite temperature phase diagram is obtained for an infinite honeycomb
lattice with spin-$1/2$ Ising interaction $J$ by using thermal-state fidelity
and von Neumann entropy based on the infinite projected entangled pair state
algorithm with ancillas. % The tensor network representation of the fidelity,
which is defined as an overlap measurement between two thermal states, is
presented for thermal states on the honeycomb lattice. % We show that the
fidelity per lattice site and the von Neumann entropy can capture the phase
transition temperatures for applied magnetic field, consistent with the
transition temperatures obtained via the transverse magnetizations, which
indicates that a continuous phase transition occurs in the system. In the
temperature-magnetic field plane, the phase boundary is found to have the
functional form $(k_BT_c)^2 + h_c^2/2 = a J^2$ with a single numerical fitting
coefficient $a = 2.298$, where $T_c$ and $h_c$ are the critical temperature and
field with the Boltzmann constant $k_B$. For the quantum state at zero
temperature, this phase boundary function gives the critical field estimate
$h_c = \sqrt{2a} J \simeq 2.1438 J$, consistent with the known value $h_c =
2.13250(4)\, J$ calculated from a Cluster Monte Carlo approach. The critical
temperature in the absence of magnetic field is estimated as $k_BT_c =
\sqrt{a}J \simeq 1.5159\, J$, consistent with the exact result $k_BT_c =
1.51865...\, J$.

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The categories of this paper are: hep-ph
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio