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We establish several properties of the solutions to the linear integral equations describing the infinite volume properties of the XXZ spin-1/2 chain in the disordered regime. In particular, we obtain lower and upper bounds for the dressed…

Mathematical Physics · Physics 2014-04-14 Maxime Dugave , Frank Göhmann , Karol K. Kozlowski

We consider the spectrum of correlation lengths of the spin-$\frac{1}{2}$ XXZ chain in the antiferromagnetic massive regime. These are given as ratios of eigenvalues of the quantum transfer matrix of the model. The eigenvalues are…

Statistical Mechanics · Physics 2017-08-15 Maxime Dugave , Frank Göhmann , Karol K. Kozlowski , Junji Suzuki

We present a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisemberg chain we derive, for arbitrary values of the anysotropy, a {\bf single}…

High Energy Physics - Theory · Physics 2008-02-03 C. Destri , H. J. de Vega

We report on a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisenberg chain we derive, for arbitrary values of the anysotropy, a single non-linear…

High Energy Physics - Theory · Physics 2007-05-23 H. J. de Vega

The free energy per lattice site of a quantum spin chain in the thermodynamic limit is determined by a single `dominant' Eigenvalue of an associated quantum transfer matrix in the infinite Trotter number limit. For integrable quantum spin…

Mathematical Physics · Physics 2025-12-16 Saskia Faulmann , Frank Göhmann , Karol K. Kozlowski

The response of a correlated nuclear system to an external field is discussed. The Bethe-Salpeter equation for the dressed vertex is solved. The kernel of the integral equation for the vertex is chosen consistently with the approximation…

Nuclear Theory · Physics 2015-06-26 P. Bozek

We use the form factors of the quantum transfer matrix in the zero-temperature limit in order to study the two-point ground-state correlation functions of the XXZ chain in the antiferromagnetic massive regime. We obtain novel form factor…

Statistical Mechanics · Physics 2017-10-05 Maxime Dugave , Frank Göhmann , Karol K. Kozlowski , Junji Suzuki

We review recent results on the Bethe Ansatz solutions for the eigenvalues of the transfer matrix of an integrable open XXZ quantum spin chain using functional relations which the transfer matrix obeys at roots of unity. First, we consider…

High Energy Physics - Theory · Physics 2008-11-26 Rajan Murgan

Taking the Ising chain as a reference model we have derived a perturbative expression for the free energy density of the Heisenberg-Ising chain with strong easy-axis anisotropy. All calculations are performed on the ground of the Quantum…

Strongly Correlated Electrons · Physics 2022-03-09 P. N. Bibikov

The nonequilibrium steady state (NESS) of integrable spin chains experiencing strong boundary dissipation is accounted by introducing quasiparticles with a renormalized -- dissipatively dressed -- dispersion relation. This allows us to…

Statistical Mechanics · Physics 2025-05-23 Vladislav Popkov , Xin Zhang , Carlo Presilla , Tomaž Prosen

The Bethe ansatz equation is solved to obtain analytically the leading finite-size correction of the spectra of the asymmetric XXZ chain and the accompanying isotropic 6-vertex model near the antiferromagnetic phase boundary at zero…

Statistical Mechanics · Physics 2009-10-28 Doochul Kim

In this note, we discuss the low and high temperature contribution of Thermodynamic Bethe Ansatz (TBA) dressed excitations in the thermodynamics and energy-magnetization relaxation within the Generalized Hydrodynamics approach in the linear…

Statistical Mechanics · Physics 2020-01-06 A. Pavlis , X. Zotos

An extensive investigation is given for magnetic properties and phase transitions in one-dimensional Bethe ansatz integrable spin-1/2 attractive fermions with polarization by means of the dressed energy formalism. An iteration method is…

Statistical Mechanics · Physics 2009-07-20 J. -S. He , A. Foerster , X. W. Guan , M. T. Batchelor

The thermodynamic limits of the XYZ spin chain with periodic or twisted boundary conditions are studied. By using the technique of characterizing the eigenvalue of the transfer matrix by the $T-Q$ relation and by the zeros of the associated…

Mathematical Physics · Physics 2025-02-19 Zhirong Xin , Junpeng Cao , Wen-Li Yang , Yupeng Wang

We consider the $XYZ$ chain model of arbitrary spin $S$ in the high temperature region, with external magnetic field and single-ion anisotropy term. Our high-temperature expansion of the Helmholtz free energy is analytic in the parameters…

Statistical Mechanics · Physics 2009-11-11 Onofre Rojas , S. M. de Souza , E. V. Corrêa Silva , M. T. Thomaz

We consider an arbitrary translationally invariant chain model with nearest neighbors interaction and satisfying periodic boundary condition. The approach developed here allows a thermodynamic description of the chain model directly in…

High Energy Physics - Phenomenology · Physics 2016-09-06 Onofre Rojas , S. M. de Souza , M. T. Thomaz

We apply a dressed perturbation theory to better organize and economize the computation of high orders of the 2-body effective action of an inspiralling Post-Newtonian gravitating binary. We use the effective field theory approach with the…

High Energy Physics - Theory · Physics 2010-01-07 Barak Kol , Michael Smolkin

Bethe Ansatz solutions of the open spin-1/2 integrable XXZ quantum spin chain at roots of unity with nondiagonal boundary terms containing two free boundary parameters have recently been proposed. We use these solutions to compute the…

High Energy Physics - Theory · Physics 2008-11-26 Rajan Murgan , Rafael I. Nepomechie , Chi Shi

We consider the longitudinal dynamical two-point function of the XXZ quantum spin chain in the antiferromagnetic massive regime. It has a series representation based on the form factors of the quantum transfer matrix of the model. The $n$th…

Statistical Mechanics · Physics 2021-11-30 Constantin Babenko , Frank Göhmann , Karol K. Kozlowski , Junji Suzuki

Space and time dependent temepreture correlation fucntions in the Hiesenberg XXO chain are evaluated in the magnetic field. The other name of the model is isotropic xy model in the transverse magnetic field. In the thermodynamic limit…

Condensed Matter · Physics 2008-02-03 F. Colomo , A. G. Izergin , V. Korepin
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