Critical exponents for the one-dimensional Hubbard model

authored by
Holger Frahm, V. E. Korepin
Abstract

Using results on the scaling of energies with the size of the system and the principles of conformal quantum field theory, we calculate the asymptotics of correlation functions for the one-dimensional Hubbard model in the repulsive regime in the presence of an external magnetic field. The critical exponents are given in terms of a dressed charge matrix that is defined in terms of a set of integral equations obtained from the Bethe-Ansatz solution for the Hubbard model. An interpretation of this matrix in terms of thermodynamical coefficients is given, and several limiting cases are considered.

External Organisation(s)
University of Virginia
Stony Brook University (SBU)
Type
Article
Journal
Physical Review B
Volume
42
Pages
10553-10565
No. of pages
13
ISSN
0163-1829
Publication date
01.12.1990
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Condensed Matter Physics
Electronic version(s)
https://doi.org/10.1103/PhysRevB.42.10553 (Access: Unknown)
https://doi.org/10.15488/5092 (Access: Open)