88 research outputs found
Universal Low Temperature Asymptotics of the Correlation Functions of the Heisenberg Chain
We calculate the low temperature asymptotics of a function that
generates the temperature dependence of all static correlation functions of the
isotropic Heisenberg chain.Comment: Proceedings of the International Workshop "Recent Advances in Quantum
Integrable Systems" (Annecy, France
Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with Dzyaloshinskii-Moriya interaction
We consider a simple integrable model of a spin chain exhibiting the
Magnetoelectric Effect (MEE). Starting from the periodic S=1/2 XXZ-chain with
Dzyaloshinskii-Moriya terms, which we consider as a local electric polarization
in the spirit of the Katsura-Nagaosa-Baladsky (KNB) mechanism, we perform the
mapping onto the conventional XXZ-chain with twisted boundary conditions. Using
the techniques of Quantum Transfer Matrix (QTM) and Non-Linear Integral
Equations (NLIE) we obtain the magnetization, electric polarization and
magnetoelectric tensor as functions of magnetic and electric field for
arbitrary temperatures. We investigate these dependencies as well as the
thermal behavior of the above mentioned physical quantities, especially in the
low-temperature regime. We found several regimes of polarization. Adjusting the
magnetic field one can switch the system from one regime to another. The
features of the critical properties connected with the MEE are also
illustrated.Comment: 11 pages; 6 figure
Short-distance thermal correlations in the massive XXZ chain
We explore short-distance static correlation functions in the infinite XXZ
chain using previously derived formulae which represent the correlation
functions in factorized form. We compute two-point functions ranging over 2, 3
and 4 lattice sites as functions of the temperature and the magnetic field in
the massive regime , extending our previous results to the full
parameter plane of the antiferromagnetic chain ( and arbitrary
field ). The factorized formulae are numerically efficient and allow for
taking the isotropic limit () and the Ising limit (). At the critical field separating the fully polarized phase from the
N\'eel phase, the Ising chain possesses exponentially many ground states. The
residual entropy is lifted by quantum fluctuations for large but finite
inducing unexpected crossover phenomena in the correlations.Comment: 24 pages, color onlin
Integral representation of the density matrix of the XXZ chain at finite temperatures
We present an integral formula for the density matrix of a finite segment of
the infinitely long spin-1/2 XXZ chain. This formula is valid for any
temperature and any longitudinal magnetic field.Comment: 12 pages, Late
Real-time dynamics at finite temperature by DMRG: A path-integral approach
We propose a path-integral variant of the DMRG method to calculate real-time
correlation functions at arbitrary finite temperatures. To illustrate the
method we study the longitudinal autocorrelation function of the -chain.
By comparison with exact results at the free fermion point we show that our
method yields accurate results up to a limiting time which is determined by the
spectrum of the reduced density matrix.Comment: 5 pages, 4 figure
Emptiness formation probability at finite temperature for the isotropic Heisenberg chain
We present an integral formula for a special correlation function of the
isotropic spin-1/2 antiferromagnetic Heisenberg chain. The correlation function
describes the probability for the occurrence of a string of consecutive
up-spins as a function of temperature, magnetic field and length of the string.Comment: 3 pages, 1 figure, submitted to SCES'0
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