Details
| Original language | English |
|---|---|
| Pages (from-to) | 5653-5662 |
| Number of pages | 10 |
| Journal | Physical Review B |
| Volume | 43 |
| Issue number | 7 |
| Publication status | Published - 1 Mar 1991 |
| Externally published | Yes |
Abstract
We present a general method for the calculation of correlation functions in the repulsive one-dimensional Hubbard model at less than half-filling in a magnetic field h. We describe the dependence of the critical exponents that drive their long-distance asymptotics on the Coulomb coupling, the density, and h. This dependence can be described in terms of a set of coupled Bethe-Ansatz integral equations. It simplifies significantly in the strong-coupling limit, where we give explicit formulas for the dependence of the critical exponents on the magnetic field. In particular, we find that at small field the functional dependence of the critical exponents on h can be algebraic or logarithmic depending on the operators involved. In addition, we evaluate the singularities of the Fourier images of the correlation functions. It turns out that switching on a magnetic field gives rise to singularities in the dynamic field-field correlation functions that are absent at h=0.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 43, No. 7, 01.03.1991, p. 5653-5662.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Correlation functions of the one-dimensional Hubbard model in a magnetic field
AU - Frahm, Holger
AU - Korepin, V. E.
PY - 1991/3/1
Y1 - 1991/3/1
N2 - We present a general method for the calculation of correlation functions in the repulsive one-dimensional Hubbard model at less than half-filling in a magnetic field h. We describe the dependence of the critical exponents that drive their long-distance asymptotics on the Coulomb coupling, the density, and h. This dependence can be described in terms of a set of coupled Bethe-Ansatz integral equations. It simplifies significantly in the strong-coupling limit, where we give explicit formulas for the dependence of the critical exponents on the magnetic field. In particular, we find that at small field the functional dependence of the critical exponents on h can be algebraic or logarithmic depending on the operators involved. In addition, we evaluate the singularities of the Fourier images of the correlation functions. It turns out that switching on a magnetic field gives rise to singularities in the dynamic field-field correlation functions that are absent at h=0.
AB - We present a general method for the calculation of correlation functions in the repulsive one-dimensional Hubbard model at less than half-filling in a magnetic field h. We describe the dependence of the critical exponents that drive their long-distance asymptotics on the Coulomb coupling, the density, and h. This dependence can be described in terms of a set of coupled Bethe-Ansatz integral equations. It simplifies significantly in the strong-coupling limit, where we give explicit formulas for the dependence of the critical exponents on the magnetic field. In particular, we find that at small field the functional dependence of the critical exponents on h can be algebraic or logarithmic depending on the operators involved. In addition, we evaluate the singularities of the Fourier images of the correlation functions. It turns out that switching on a magnetic field gives rise to singularities in the dynamic field-field correlation functions that are absent at h=0.
U2 - 10.1103/PhysRevB.43.5653
DO - 10.1103/PhysRevB.43.5653
M3 - Article
AN - SCOPUS:24244476861
VL - 43
SP - 5653
EP - 5662
JO - Physical Review B
JF - Physical Review B
SN - 0163-1829
IS - 7
ER -