Umtg-170 Introduction to the Thermodynamics of Spin Chains *
نویسنده
چکیده
We review how to obtain the thermodynamic Bethe Ansatz (TBA) equations for the antiferromagnetic Heisenberg ring in an external magnetic field. We review how to solve these equations for low temperature and small field, and calculate the specific heat and magnetic susceptibility. 1. Motivation Quantum spin chains provide some of the simplest examples of physical systems with quantum-algebra symmetry. A well-known example is the open quantum spin chain consisting of N spins with the Hamiltonian H = N−1
منابع مشابه
Cu NMR Study of Spin Dynamics in Low - dimensional Spin 1 / 2 Antiferromagnets
63 Cu and 170 nuclear magnetic resonance (NMR) and nuclear quadrupole resonance (NQR) experiments are reported on copper-oxide compounds related to high temperature superconductors that are nearly ideal realizations of spin 1/2 Heisenberg antiferromagnets with different geometries of the magnetic interactions: 1 dimensional spin chains, 2 dimensional planes, two coupled chains (two-leg ladder),...
متن کاملar X iv : h ep - t h / 94 02 05 3 v 1 9 F eb 1 99 4 LPTHE - PAR 94 - 04 , UMTG - 174 Scalar Kinks
We determine the excitations and S matrix of an integrable isotropic antiferromagnetic quantum spin chain of alternating spin 1/2 and spin 1. There are two types of gapless oneparticle excitations: the usual spin 1/2 (“spinor”) kink, and a new spin 0 (“scalar”) kink. Remarkably, the scalar-spinor scattering is nontrivial, yet the spinor-spinor scattering is the same as if the scalar kinks were ...
متن کاملLow-energy properties of aperiodic quantum spin chains.
We investigate the low-energy properties of antiferromagnetic quantum XXZ spin chains with couplings following two-letter aperiodic sequences, by an adaptation of the Ma-Dasgupta-Hu renormalization-group method. For a given aperiodic sequence, we argue that, in the easy-plane anisotropy regime, intermediate between the XX and Heisenberg limits, the general scaling form of the thermodynamic prop...
متن کاملThermodynamics of the 3-State Potts Spin Chain
We demonstrate the relation of the infrared anomaly of conformal field theory with entropy considerations of finite temperature thermodynamics for the 3-state Potts chain. We compute the free energy and compute the low temperature specific heat for both the ferromagnetic and anti-ferromagnetic spin chains, and find the central charges for both.
متن کاملDouble Sine-gordon Model for the Classical and Quantum Thermodynamics of Magnetic Chains
The Double Sine-Gordon (DSG) model has been often used for describing anisotropic spin chains. We firstly present classical transfer matrix calculations of thermodynamic quantities. Secondly, the effects of the quantum fluctuations are taken into account by means of an effective potential, which was successfully used for SG models.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1992