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We study the thermodynamics and critical behavior of su($m|n$) supersymmetric spin chains of Haldane-Shastry type with a chemical potential term. We obtain a closed-form expression for the partition function and deduce a description of the…

Statistical Mechanics · Physics 2018-04-10 Federico Finkel , Artemio González-López , Iván León , Miguel Á. Rodríguez

We compute the spectrum of the trigonometric Sutherland spin model of BC_N type in the presence of a constant magnetic field. Using Polychronakos's freezing trick, we derive an exact formula for the partition function of its associated…

High Energy Physics - Theory · Physics 2015-06-26 A. Enciso , F. Finkel , A. Gonzalez-Lopez , M. A. Rodriguez

We investigate the zero-temperature and the finite-temperature properties of the two-dimensional antiferromagnetic quantum spin system composed of the s=1/2 and s=1 spins. The spin excitation spectrum as well as the thermodynamic quantities…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Takushima , A. Koga , N. Kawakami

We analyze the thermodynamics and criticality properties of four families of su$(m|n)$ supersymmetric spin chains of Haldane-Shastry (HS) type, related to both the $A_{N-1}$ and the $BC_N$ classical root systems. Using a known formula…

Statistical Mechanics · Physics 2024-08-27 Federico Finkel , Artemio González-López

Motivated by recent experiments on a compound {displaying Ising-like short-range correlations on the triangular lattice, we study the anisotropic easy-axis spin-$1/2$ Heisenberg model on the triangular and kagome lattice} by performing…

Strongly Correlated Electrons · Physics 2024-02-19 Martin Ulaga , Jure Kokalj , Alexander Wietek , Andrej Zorko , Peter Prelovšek

We study the open version of the su$(m|n)$ supersymmetric Haldane-Shastry spin chain associated to the $BC_N$ extended root system. We first evaluate the model's partition function by modding out the dynamical degrees of freedom of the…

Mathematical Physics · Physics 2020-10-19 Jose Carrasco , Federico Finkel , Artemio González-López , Miguel A. Rodríguez

Using finite temperature Lanczos technique on finite clusters we calculate dynamical spin structure factor of the quasi-two-dimensional dimer spin liquid SrCu2(BO3)2 as a function of wavevector and temperature. Unusual temperature…

Strongly Correlated Electrons · Physics 2007-05-23 S. El Shawish , J. Bonca , I. Sega

We focus on the infinite temperature dynamical spin structure factor of the asymmetric Hatsugai-Kohmoto model, the relative of the asymmetric Hubbard model. It is characterized by distinct single particle energies for the two spin species,…

Strongly Correlated Electrons · Physics 2025-10-20 Ádám Bácsi , Doru Sticlet , Catalin Pascu Moca , Balázs Dóra

The zero-temperature dynamical spin-spin correlation functions are calculated for the spin-1/2 two-leg Heisenberg ladder in a magnetic field above the lower critical field Hc1. The dynamical structure factors are calculated which exhibit…

Strongly Correlated Electrons · Physics 2009-10-31 A. Furusaki , S. C. Zhang

Various aspects of the Haldane-Shastry spin chain with 1/r^2 exchange, and its various generalizations, are reviewed, with emphasis on its Yangian quantum group structure, and the interpretation of the model as the generalization of an…

Condensed Matter · Physics 2016-08-31 F. D. M. Haldane

We derive expressions for the form factors of the quantum transfer matrix of the spin-1/2 XXZ chain which are suitable for taking the infinite Trotter number limit. These form factors determine the finitely many amplitudes in the leading…

Statistical Mechanics · Physics 2015-06-15 Maxime Dugave , Frank Göhmann , Karol K. Kozlowski

We consider spin-1 Haldane chains with single-ion anisotropy, which exists in known Haldane chain materials. We develop a perturbation theory in terms of anisotropy, where magnon-magnon interaction is important even in the low temperature…

Statistical Mechanics · Physics 2011-11-22 Shunsuke C. Furuya , Takafumi Suzuki , Shintaro Takayoshi , Yoshitaka Maeda , Masaki Oshikawa

We study the dynamical structure factors of the spin-1/2 XXX chain at finite magnetic field h, focusing in particular on the singularities at excitation energies in the vicinity of the lower thresholds of the leading-order dominant…

Strongly Correlated Electrons · Physics 2015-10-28 J. M. P. Carmelo , P. D. Sacramento , D. K. Campbell

We study the correlation functions of su(2) invariant spin-s chains in the thermodynamic limit. We derive non-linear integral equations for an auxiliary correlation function $\omega$ for any spin s and finite temperature T. For the spin-3/2…

Statistical Mechanics · Physics 2016-07-28 G. A. P. Ribeiro , A. Klümper

We study the thermodynamics and criticality of the su($m|n$) Haldane-Shastry chain of $BC_N$ type with a general chemical potential term. We first derive a complete description of the spectrum of this model in terms of $BC_N$-type motifs,…

Statistical Mechanics · Physics 2023-11-14 Federico Finkel , Artemio González-López

Explicit factorized formulas for the matrix elements (form-factors) of the spin operators \sigma^x and \sigma^y between the eigenvectors of the Hamiltonian of the finite quantum periodic XY-chain in a transverse field were derived. The…

Statistical Mechanics · Physics 2011-12-05 Nikolai Iorgov

We calculate the exact dynamical magnetic structure factor S(Q,E) in the ground state of a one-dimensional S=1/2 antiferromagnet with gapless free S=1/2 spinon excitations, the Haldane-Shastry model with inverse-square exchange, which is in…

Condensed Matter · Physics 2009-10-22 F. D. M. Haldane , M. R. Zirnbauer

Frustrated spin systems can show phases with spontaneous breaking of spin-rotational symmetry without the formation of local magnetic order. We study the dynamic response of the spin-nematic phase of one-dimensional spin-1/2 systems,…

Strongly Correlated Electrons · Physics 2018-10-02 Flávia B. Ramos , Sebas Eliëns , Rodrigo G. Pereira

The spectrum of a one-dimensional chain of $SU(n)$ spins positioned at the static equilibrium positions of the particles in a corresponding classical Calogero system with an exchange interaction inversely proportional to the square of their…

Condensed Matter · Physics 2009-10-22 H. Frahm

We show that infinite Matrix Product States (MPS) constructed from conformal field theories can describe ground states of one-dimensional critical systems with open boundary conditions. To illustrate this, we consider a simple infinite MPS…

Strongly Correlated Electrons · Physics 2015-12-01 Hong-Hao Tu , Germán Sierra