The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain

被引:36
作者
Caux, Jean-Sebastien [1 ]
Mossel, Jorn [1 ]
Castillo, Isaac Perez [2 ]
机构
[1] Univ Amsterdam, Inst Theoret Phys, NL-1018 XE Amsterdam, Netherlands
[2] Kings Coll London, Dept Math, London WC2R 2LS, England
关键词
correlation functions; form factors; integrable spin chains (vertex models); spin chains; ladders and planes (theory);
D O I
10.1088/1742-5468/2008/08/P08006
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We consider the transverse dynamical structure factor of the anisotropic Heisenberg spin-1/2 chain (XXZ model) in the gapped antiferromagnetic regime (Delta> 1). Specializing to the case of zero field, we use two independent approaches based on integrability (one valid for finite size, the other for the infinite lattice) to obtain the exact two-spinon part of this correlator. We discuss in particular its asymmetry with respect to the pi/2-momentum line, its overall anisotropy dependence, and its contribution to sum rules.
引用
收藏
页数:20
相关论文
共 29 条
[1]   Exact four-spinon dynamical correlation function of the Heisenberg model [J].
Abada, A ;
Bougourzi, AH ;
SiLakhal, B .
NUCLEAR PHYSICS B, 1997, 497 (03) :733-753
[2]   ANALYSIS OF THE BETHE ANSATZ EQUATIONS OF THE XXZ MODEL [J].
BABELON, O ;
DEVEGA, HJ ;
VIALLET, CM .
NUCLEAR PHYSICS B, 1983, 220 (01) :13-34
[3]   Metal theory [J].
Bethe, H. .
ZEITSCHRIFT FUR PHYSIK, 1931, 71 (3-4) :205-226
[4]   Transition rates via Bethe ansatz for the spin-1/2 planar XXZ antiferromagnet [J].
Biegel, D ;
Karbach, M ;
Müller, G .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (20) :5361-5368
[5]   Transition rates via Bethe ansatz for the spin-1/2 Heisenberg chain [J].
Biegel, D ;
Karbach, M ;
Müller, G .
EUROPHYSICS LETTERS, 2002, 59 (06) :882-888
[6]   Exact two-spinon dynamical correlation function of the one-dimensional Heisenberg model [J].
Bougourzi, AH ;
Couture, M ;
Kacir, M .
PHYSICAL REVIEW B, 1996, 54 (18) :12669-12672
[7]   Exact two-spinon dynamic structure factor of the one-dimensional s=1/2 Heisenberg-Ising antiferromagnet [J].
Bougourzi, AH ;
Karbach, M ;
Muller, G .
PHYSICAL REVIEW B, 1998, 57 (18) :11429-11438
[8]   The four-spinon dynamical structure factor of the Heisenberg chain [J].
Caux, Jean-Sebastien ;
Hagemans, Rob .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2006,
[9]   Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime [J].
Caux, JS ;
Hagemans, R ;
Maillet, JM .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2005, :83-102
[10]   Computation of dynamical correlation functions of Heisenberg chains in a magnetic field [J].
Caux, JS ;
Maillet, JM .
PHYSICAL REVIEW LETTERS, 2005, 95 (07)