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We explore the connection between the transfer matrix formalism and discrete complex analysis approach to the two dimensional Ising model. We construct a discrete analytic continuation matrix, analyze its spectrum and establish a direct…

Mathematical Physics · Physics 2012-12-03 Clément Hongler , Kalle Kytölä , Ali Zahabi

We investigate chains of interacting spinless fermions subject to a finite external field $F$ (also called Stark chains) and focus on the regime where the charge thermalization follows the subdiffusive hydrodynamics. First, we study reduced…

Strongly Correlated Electrons · Physics 2025-01-09 Peter Prelovšek , Sourav Nandy , Marcin Mierzejewski

This study provides a comprehensive analysis of the ground state and thermodynamic properties of a spin-pseudospin chain representing a model of a one-dimensional dilute magnet with two types of nonmagnetic charged impurities. For this…

Statistical Mechanics · Physics 2024-11-19 Darya Yasinskaya , Yury Panov

We investigate the entanglement entropy of a block of L sites in quasifree translation-invariant spin chains concentrating on the effect of reflection symmetry breaking. The majorana two-point functions corresponding to the Jordan-Wigner…

Quantum Physics · Physics 2013-05-29 Zoltan Kadar , Zoltan Zimboras

We propose a quantum optical implementation of a class of dissipative spin systems, including the XXZ and Ising model, with ultra-cold atoms in optical lattices. Employing the motional degree of freedom of the atoms and detuned Raman…

Quantum Physics · Physics 2013-02-18 Heike Schwager , J. Ignacio Cirac , Géza Giedke

We present a general derivation of semi-fermionic representation for spin operators in terms of a bilinear combination of fermions in real and imaginary time formalisms. The constraint on fermionic occupation numbers is fulfilled by means…

Strongly Correlated Electrons · Physics 2009-11-11 M. N. Kiselev

We calculate exactly the entanglement content of magnon excited states in the integrable spin-1/2 XXX and XXZ chains in the scaling limit. In particular, we show that as far as the number of excited magnons with respect to the size of the…

Statistical Mechanics · Physics 2022-02-16 Jiaju Zhang , M. A. Rajabpour

We derive explicit expressions for the conformal blocks of the Ising conformal field theory, for the correlators of an arbitrary number of primary fields. These results are obtained from the bosonized description of the Ising model.…

Strongly Correlated Electrons · Physics 2010-11-30 Eddy Ardonne , German Sierra

The paper presents a new numerical approach for studying the thermodynamical and dynamical properties of finite spin-$\frac{1}{2}$ $XY$ chains. Special attention is given to examining the influence of disorder on the average transverse…

Condensed Matter · Physics 2007-05-23 O. Derzhko , T. Krokhmalskii

We study tilted chains of spinless fermions in the presence of the nearest-neighbor density-density interaction for which the noninteracting counterpart displays Stark localization. We demonstrate that the latter two-body interaction can be…

Strongly Correlated Electrons · Physics 2024-09-30 Bartosz Krajewski , Marcin Mierzejewski

Working with Lieb's transfer matrix for the dimer model, we point out that the full set of dimer configurations may be partitioned into disjoint subsets (sectors) closed under the action of the transfer matrix. These sectors are labelled by…

High Energy Physics - Theory · Physics 2015-07-09 Jorgen Rasmussen , Philippe Ruelle

Representations for the generating functionals of static correlators of $z$-components of spins in the XY and $XX$ Heisenberg spin chains are obtained in the form of sums of the fermionic functional integrals. The peculiarity of the…

Mathematical Physics · Physics 2007-05-23 C. Malyshev

Transport of quantum information in linear spin chains has been the subject of much theoretical work. Experimental studies by nuclear spin systems in solid-state by NMR (a natural implementation of such models) is complicated since the…

Quantum Physics · Physics 2009-11-13 Paola Cappellaro , Chandrasekhar Ramanathan , David G. Cory

Using transfer-matrix method a correspondence between $2D$ classical spin systems ($2D$ Ising model and six-vertex model) and $1D$ quantum spin systems is considered. We find the transfer matrix in two limits - in a well-known…

Statistical Mechanics · Physics 2010-06-09 Oles Zaburannyi

We develop a mesoscale transport theory for the charge and spin degrees of freedom of itinerant carriers in a $d$-wave altermagnet. Our effective Lagrangian description is built upon the slave-boson formulation of the microscopic $t-J$…

Mesoscale and Nanoscale Physics · Physics 2024-12-19 Ricardo Zarzuela , Rodrigo Jaeschke-Ubiergo , Olena Gomonay , Libor Šmejkal , Jairo Sinova

We describe ground states of correlated electron systems in which the electron fractionalizes into separate quasiparticles which carry its spin and its charge, and into real Majorana fermions which carry its Fermi statistics. Such parent…

Strongly Correlated Electrons · Physics 2010-10-21 Cenke Xu , Subir Sachdev

The spin-Peierls instability in spin 1/2 XY chain coupled to dispersionless phonons of frequency $\omega$ has been studied in the nonadiabatic limit. We have chosen the Lang-Firsov variational wave function for the phonon subsystem to…

Condensed Matter · Physics 2009-10-31 Shreekantha Sil

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

In a transparent three-terminal Josephson junction, modeling nonequilibrium transport is numerically challenging, owing to the interplay between multiple Andreev reflection (MAR) thresholds and multipair resonances in the pair current. An…

Mesoscale and Nanoscale Physics · Physics 2016-08-06 Régis Mélin , Denis Feinberg , Benoît Douçot

An exact description of integrable spin chains at finite temperature is provided using an elementary algebraic approach in the complete Hilbert space of the system. We focus on spin chain models that admit a description in terms of free…

Quantum Physics · Physics 2021-07-20 Michał Białończyk , Fernando Javier Gómez-Ruiz , Adolfo del Campo