Universal Low Temperature Asymptotics of the Correlation Functions of the Heisenberg Chain
نویسندگان
چکیده
We calculate the low temperature asymptotics of a function γ that generates the temperature dependence of all static correlation functions of the isotropic Heisenberg chain.
منابع مشابه
Universal diffusive decay of correlations in gapped one-dimensional systems
We apply a semiclassical approach to express finite temperature dynamical correlation functions of gapped spin models analytically. We show that the approach of [Á. Rapp, G. Zaránd, Phys. Rev. B 74, 014433 (2006)] can also be used for the S = 1 antiferromagnetic Heisenberg chain, whose lineshape can be measured experimentally. We generalize our calculations to O(N) quantum spin models and the s...
متن کاملTemperature Correlation Functions in the XXO Heisenberg Chain
Space and time dependent correlation functions in the Heisenberg XX0 chain (in transverse magnetic field) are expressed in terms of Fredholm determinants of linear integral operators at all temperatures. The obtained expression allows useful computation of spectral shapes. Moreover, these determinant expressions allow to evaluate the asymptotic behaviour of correlation functions.
متن کاملLow-temperature asymptotics of integrable systems in an external field
An asymptotic low-temperature expansion is performed for an integrable bosonic lattice model and for the critical spin-1/2 Heisenberg chain in a magnetic field. The results apply to the integrable Bose gas as well. We also comment on a high-temperature expansion of the bosonic lattice model. PACS numbers: 02.30Ik, 05.30.-d, 05.30.Jp, 75.10.Pq
متن کاملThermodynamics of the Anisotropic Spin - 1 / 2 Heisenberg Chain and Related Quantum Chains ∗
The free energy and correlation lengths of the spin-1/2 XY Z chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented for the low-temperature asymptotics, in particular for the critical XXZ chain in an external magnetic field. These results are compared to predictions by conf...
متن کاملString correlation functions of the spin-1/2 Heisenberg XXZ chain
We calculate certain string correlation functions, originally introduced as order parameters in integer spin chains, for the spin-1/2 XXZ Heisenberg chain at zero temperature and in the thermodynamic limit. For small distances, we obtain exact results from Bethe Ansatz and exact diagonalization, whereas in the large-distance limit, field-theoretical arguments yield an asymptotic algebraic decay...
متن کامل