Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-size-scaling analysis of the XY universality class between two
  and three dimensions: An application of Novotny's transfer-matrix method   Based on Novotny's transfer-matrix method, we simulated the (stacked)
triangular Ising antiferromagnet embedded in the space with the dimensions
variable in the range 2 \le d \le 3. Our aim is to investigate the criticality
of the XY universality class for 2 \le d \le 3. For that purpose, we employed
an extended version of the finite-size-scaling analysis developed by Novotny,
who utilized this scheme to survey the Ising criticality (ferromagnet) for 1
\le d \le 3. Diagonalizing the transfer matrix for the system sizes N up to
N=17, we calculated the $d$-dependent correlation-length critical exponent
\nu(d). Our simulation result \nu(d) appears to interpolate smoothly the known
two limiting cases, namely, the KT and d=3 XY universality classes, and the
intermediate behavior bears close resemblance to that of the analytical formula
via the 1/N-expansion technique. Methodological details including the
modifications specific to the present model are reported.

16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph