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Related papers: Spin Drude weight for the integrable XXZ chain wit…

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Nonlinear Drude weight (NLDW) is a new concept which characterizes the nonlinear transport in quantum many-body systems. We investigate these weights for the spin-1/2 XXZ chain in the critical regime. The effects of the…

Strongly Correlated Electrons · Physics 2021-07-13 Yuhi Tanikawa , Kazuaki Takasan , Hosho Katsura

Evaluating a lattice path integral in terms of spectral data and matrix elements pertaining to a suitably defined quantum transfer matrix, we derive form-factor series expansions for the dynamical two-point functions of arbitrary local…

Statistical Mechanics · Physics 2023-11-03 Frank Göhmann , Karol K. Kozlowski , Mikhail D. Minin

The fusion hierarchy, $T$-system and $Y$-system of functional equations are the key to integrability for 2d lattice models. We derive these equations for the generic dilute $A_2^{(2)}$ loop models. The fused transfer matrices are associated…

Mathematical Physics · Physics 2020-01-29 Alexi Morin-Duchesne , Paul A. Pearce

We study spin liquid phases of spin-5/2 alkaline earth atoms on a honeycomb lattice at finite temperatures. Our analysis is based on a Gutzwiller projection variational approach recast to a path-integral formalism. In the framework of a…

Quantum Gases · Physics 2013-10-15 P. Sinkovicz , A. Zamora , E. Szirmai , M. Lewenstein , G. Szirmai

We study integrable vertex models and quantum spin chains with toroidal boundary conditions. An interesting class of such boundaries is associated with non-diagonal twist matrices. For such models there are no trivial reference states upon…

High Energy Physics - Theory · Physics 2016-09-06 C. M. Yung , M. T. Batchelor

Two implicit periodic structures in the solution of sinh-Gordon thermodynamic Bethe ansatz equation are considered. The analytic structure of the solution as a function of complex $\theta$ is studied to some extent both analytically and…

High Energy Physics - Theory · Physics 2015-06-25 Al. Zamolodchikov

We consider the open spin-s XXZ quantum spin chain with N sites and general integrable boundary terms for generic values of the bulk anisotropy parameter, and for values of the boundary parameters which satisfy a certain constraint. We…

Mathematical Physics · Physics 2010-04-08 Luc Frappat , Rafael Nepomechie , Eric Ragoucy

Finite-temperature calculations are relevant for rationalizing material properties yet they are computationally expensive because large system sizes or long simulation times are typically required. Circumventing the need for performing many…

The thermodynamics of solvable isotropic chains with arbitrary spins is addressed by the recently developed quantum transfer matrix (QTM) approach. The set of nonlinear equations which exactly characterize the free energy is derived by…

Statistical Mechanics · Physics 2009-10-31 J. Suzuki

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…

High Energy Physics - Theory · Physics 2007-05-23 Luca Mezincescu , Rafael I. Nepomechie

The finite temperature transport properties of a spin-1/2 anisotropic Heisenberg chain with an embedded spin-S impurity are studied. Using primarily numerical diagonalization techniques, we study the dependence of the dynamical spin and…

Strongly Correlated Electrons · Physics 2011-02-14 A. Metavitsiadis

We consider the integrable one-dimensional spin-$1$ chain defined by the Zamolodchikov-Fateev (ZF) Hamiltonian. The latter is parametrized, analogously to the XXZ spin-$1/2$ model, by a continuous anisotropy parameter and at the isotropic…

Statistical Mechanics · Physics 2016-05-23 Lorenzo Piroli , Eric Vernier

We calculate the bulk and boundary parts of the free energy for an open spin-1/2 XXZ-chain in the critical regime by bosonisation. We identify the cutoff independent contributions and determine their amplitudes by comparing with Bethe…

Strongly Correlated Electrons · Physics 2011-02-16 J. Sirker , M. Bortz

Recent developments in the analysis of finite temperature dissipationless transport in integrable quantum many body problems are presented. In particular, we will discuss: (i) the role played by the conservation laws in systems as the spin…

Condensed Matter · Physics 2007-05-23 X. Zotos , F. Naef , P. Prelovsek

The excited state thermodynamic Bethe ansatz (TBA) equations for the spinless Fermion model are presented by the quantum transfer matrix (QTM) approach. We introduce a more general family called T-functions and explore functional relations…

Statistical Mechanics · Physics 2012-09-27 Kazumitsu Sakai

We present a new algorithm to evaluate the grand potential at finite and high-temperature series expansion via many-body perturbation theory. This algorithm allows us to formulate each order as a divided difference. Further, we apply this…

Strongly Correlated Electrons · Physics 2021-12-30 Mohamed Amine Tag , Abid Boudiar , Mohamed El-Hadi Mansour , Abdelkader Hafdallah , Chafia Bendjeroudib

We study the spin and heat conductivity of dimerized spin-1/2 chains in homogeneous magnetic fields at finite temperatures. At zero temperature, the model undergoes two field-induced quantum phase transitions from a dimerized, into a…

Strongly Correlated Electrons · Physics 2010-09-23 S. Langer , R. Darradi , F. Heidrich-Meisner , W. Brenig

The integrable XXZ alternating spin chain with generic non-diagonal boundary terms specified by the most general non-diagonal K-matrices is studied via the off-diagonal Bethe Ansatz method. Based on the intrinsic properties of the fused…

Statistical Mechanics · Physics 2015-07-16 Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We use the density matrix renormalization group method (DMRG) to compute the frequency and momentum resolved spin-spin correlation functions of a dimerized spin-1/2 chain under a magnetic field at finite temperature. The spectral features…

Strongly Correlated Electrons · Physics 2018-10-09 Emanuele Coira , Peter Barmettler , Thierry Giamarchi , Corinna Kollath

Here we consider a class of energy eigenstates of the spin-1/2 XXZ chain that exist both for anisotropies 1 and larger than 1. We show that at the isotropic point their contributions are behind the diffusion constant being infinite, spin…

Strongly Correlated Electrons · Physics 2025-09-11 J. M. P. Carmelo , P. D. Sacramento