Details
| Original language | English |
|---|---|
| Pages (from-to) | 5619-5626 |
| Number of pages | 8 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 29 |
| Issue number | 17 |
| Publication status | Published - 1 Dec 1996 |
Abstract
We consider quantum correlation functions of the antiferromagnetic spin-1/2 Heisenberg XXZ spin chain in a magnetic field. We show that for a magnetic field close to the critical field hc (for the critical magnetic field the ground state is ferromagnetic) certain correlation functions can be expressed in terms of the solution of the Painlevé V transcendent. This establishes a relation between solutions of Painlevé differential equations and quantum correlation functions in models of interacting fermions. Painlevé transcendents were known to describe correlation functions in models with free fermionic spectra.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics A: Mathematical and General, Vol. 29, No. 17, 01.12.1996, p. 5619-5626.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Painlevé transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point
AU - Essler, F. H.L.
AU - Frahm, H.
AU - Its, A. R.
AU - Korepin, V. E.
PY - 1996/12/1
Y1 - 1996/12/1
N2 - We consider quantum correlation functions of the antiferromagnetic spin-1/2 Heisenberg XXZ spin chain in a magnetic field. We show that for a magnetic field close to the critical field hc (for the critical magnetic field the ground state is ferromagnetic) certain correlation functions can be expressed in terms of the solution of the Painlevé V transcendent. This establishes a relation between solutions of Painlevé differential equations and quantum correlation functions in models of interacting fermions. Painlevé transcendents were known to describe correlation functions in models with free fermionic spectra.
AB - We consider quantum correlation functions of the antiferromagnetic spin-1/2 Heisenberg XXZ spin chain in a magnetic field. We show that for a magnetic field close to the critical field hc (for the critical magnetic field the ground state is ferromagnetic) certain correlation functions can be expressed in terms of the solution of the Painlevé V transcendent. This establishes a relation between solutions of Painlevé differential equations and quantum correlation functions in models of interacting fermions. Painlevé transcendents were known to describe correlation functions in models with free fermionic spectra.
U2 - 10.1088/0305-4470/29/17/032
DO - 10.1088/0305-4470/29/17/032
M3 - Article
AN - SCOPUS:0008987123
VL - 29
SP - 5619
EP - 5626
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
SN - 0305-4470
IS - 17
ER -