Correlation functions for the Heisenberg-Ising chain at T=0
- 14 December 1978
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 11 (23), 4767-4791
- https://doi.org/10.1088/0022-3719/11/23/020
Abstract
The longitudinal and transverse space and time dependent spin correlation functions for the one-dimensional Heisenberg-Ising model are derived asymptotically in the weak-coupling-low-frequency-long-wavelength limit within the framework of ordinary many-body theory (field theory). By means of the Jordan-Wigner transformation and using methods developed previously for the Tomonaga model (1950), the zero-temperature correlation functions is expressed as functional integrals. The associated one-body problem is explicitly soluble in the asymptotic regions and the correlation functions assume the form of Gaussian integrals which are evaluated analytically in the weak-coupling-low-frequency-long-wavelength limit. Apart from a linear correction to the transverse exchange constant agreement with Luther and Peschel (1975) is obtained.Keywords
This publication has 18 references indexed in Scilit:
- Correlation functions for the Tomonaga modelJournal of Physics C: Solid State Physics, 1976
- Single-particle states, Kohn anomaly, and pairing fluctuations in one dimensionPhysical Review B, 1974
- Experiments on simple magnetic model systemsAdvances in Physics, 1974
- Vertical-Arrow Correlation Length in the Eight-Vertex Model and the Low-Lying Excitations of theHamiltonianPhysical Review A, 1973
- One-dimensional anisotropic Heisenberg chainAnnals of Physics, 1972
- One-Dimensional Anisotropic Heisenberg ChainPhysical Review Letters, 1971
- Spin-Wave Spectrum of the Antiferromagnetic Linear ChainPhysical Review B, 1962
- Two soluble models of an antiferromagnetic chainAnnals of Physics, 1961
- Calculation of Partition FunctionsPhysical Review Letters, 1959
- ber das Paulische quivalenzverbotThe European Physical Journal A, 1928