Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlation length of the 1D Hubbard Model at half-filling : equal-time
  one-particle Green's function   The asymptotics of the equal-time one-particle Green's function for the
half-filled one-dimensional Hubbard model is studied at finite temperature. We
calculate its correlation length by evaluating the largest and the second
largest eigenvalues of the Quantum Transfer Matrix (QTM). In order to allow for
the genuinely fermionic nature of the one-particle Green's function, we employ
the fermionic formulation of the QTM based on the fermionic R-operator of the
Hubbard model. The purely imaginary value of the second largest eigenvalue
reflects the k_F (= pi/2) oscillations of the one-particle Green's function at
half-filling. By solving numerically the Bethe Ansatz equations with Trotter
numbers up to N=10240, we obtain accurate data for the correlation length at
finite temperatures down into the very low temperature region. The correlation
length remains finite even at T=0 due to the existence of the charge gap. Our
numerical data confirm Stafford and Millis' conjecture regarding an analytic
expression for the correlation length at T=0.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th