Details
| Original language | English |
|---|---|
| Pages (from-to) | 10553-10565 |
| Number of pages | 13 |
| Journal | Physical Review B |
| Volume | 42 |
| Issue number | 16 |
| Publication status | Published - 1 Dec 1990 |
| Externally published | Yes |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 42, No. 16, 01.12.1990, p. 10553-10565.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Critical exponents for the one-dimensional Hubbard model
AU - Frahm, Holger
AU - Korepin, V. E.
PY - 1990/12/1
Y1 - 1990/12/1
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevB.42.10553
DO - 10.1103/PhysRevB.42.10553
M3 - Article
AN - SCOPUS:0001060708
VL - 42
SP - 10553
EP - 10565
JO - Physical Review B
JF - Physical Review B
SN - 0163-1829
IS - 16
ER -