Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tomonaga-Luttinger-liquid criticality: numerical entanglement entropy
  approach   The von Neumann entanglement entropy is studied with the density-matrix
renormalization group technique. We propose a simple approach to calculate the
central charge using the entanglement entropy for one-dimensional (1D) quantum
system. This approach is applied to a couple of quantum systems: (i) 1D
frustrated spin model and (ii) 1D half-filled spinless fermions with
nearest-neighbor repulsion; and, it is confirmed that the central charge is
estimated very accurately for the both systems. Also, a new method to determine
the critical point between TL-liquid and gapped (or ordered) phases from the
proposed approach is suggested. Furthermore, we mention that the
Tomonaga-Luttinger parameter can be obtained in a like manner as the central
charge, using the charge-density fluctuation of a part of the 1D system.

23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci