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Using a self-consistent mean-field theory for the $S=1/2$ Heisenberg antiferromagnet Kr\"uger and Schuck recently derived an analytic expression for the dispersion. It is exact in one dimension ($d=1$) and agrees well with numerical results…

Condensed Matter · Physics 2009-10-28 B. Kleine , G. S. Uhrig , E. Müller-Hartmann

Measurements of the spin-lattice relaxation rate 1/T_1 by nuclear magnetic resonance for the one-dimensional Heisenberg antiferromagnet Sr_2CuO_3 have provided evidence for a diffusion-like contribution at finite temperature and small…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker

Investigation of dynamical excitations is difficult but crucial to the understanding of many exotic quantum phenomena discovered in quantum materials. This is particularly true for highly frustrated quantum antiferromagnets whose dynamical…

Strongly Correlated Electrons · Physics 2022-11-24 Run-Ze Chi , Yang Liu , Yuan Wan , Hai-Jun Liao , T. Xiang

Finite-temperature spin transport in the quantum Heisenberg spin chain is known to be superdiffusive, and has been conjectured to lie in the Kardar-Parisi-Zhang (KPZ) universality class. Using a kinetic theory of transport, we compute the…

Statistical Mechanics · Physics 2020-08-13 Jacopo De Nardis , Sarang Gopalakrishnan , Enej Ilievski , Romain Vasseur

We calculate the dynamical spin-spin correlation functions of a Kondo dot coupled to two noninteracting leads held at different chemical potentials. To this end we generalize a recently developed real-time renormalization group method in…

Strongly Correlated Electrons · Physics 2013-01-11 Dirk Schuricht , Herbert Schoeller

We consider the quantum ferromagnetic Heisenberg model in three dimensions, for all spins $S\geq 1/2$. We rigorously prove the validity of the spin-wave approximation for the excitation spectrum, at the level of the first non-trivial…

Mathematical Physics · Physics 2019-08-13 Michele Correggi , Alessandro Giuliani , Robert Seiringer

We use our recently developed functional renormalization group (FRG) approach for quantum spin systems to investigate the phase diagram of the frustrated $J_{1}J_{2}J_{3}$ quantum Heisenberg model on a cubic lattice. From a simple…

Strongly Correlated Electrons · Physics 2023-02-28 Dmytro Tarasevych , Andreas Rückriegel , Savio Keupert , Vasilios Mitsiioannou , Peter Kopietz

The magnetic excitation spectrum in the two-dimensional (2D) S=1/2 Heisenberg antiferromagnet copper deuteroformate tetradeuterate (CFTD) has been measured for temperatures up to T\sim J/2, where J=6.31+-0.02 meV is the 2D exchange…

The spin-spin correlation function of the 2D XY model decays as a power law at all temperatures below the Berezinskii-Kosterlitz-Thouless transition point with a temperature dependent exponent $\eta=\eta(T/J)$ ($J$ is the ferromagnetic…

Statistical Mechanics · Physics 2012-03-09 Oleksandr Kapikranian

We explore low temperature properties of quantum triangular Heisenberg antiferromagnets in two dimension in the vicinity of the quantum phase transition at zero temperature. Using the effective field theory described by the $SO(3)\times…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Fujimoto

We calculate the low-temperature thermodynamic quantities (magnetization, correlation functions, transverse and longitudinal correlation lengths, spin susceptibility, and specific heat) of the frustrated one-dimensional spin-half J1-J2…

Strongly Correlated Electrons · Physics 2015-05-27 M. Härtel , J. Richter , D. Ihle

We study thermodynamic properties of the one-dimensional Heisenberg ferrimagnet with antiferromagnetically exchange-coupled two kinds of spins 1 and 1/2. The specific heat and the magnetic susceptibility are calculated employing a modified…

Statistical Mechanics · Physics 2009-10-30 Shoji Yamamoto , Takahiro Fukui

The low-temperature free energy of the spin S quantum Heisenberg ferromagnetic chain in a strong magnetic field is obtained in a two-particle approximation by using exact solution of two-spin-wave problem. The result is beyond the…

Condensed Matter · Physics 2007-05-23 Michael Teitelman

We develop a finite-temperature perturbation theory for quasi-one-dimensional quantum spin systems, in the manner suggested by H.J. Schulz (1996) and use this formalism to study their dynamical response. The corrections to the random-phase…

Strongly Correlated Electrons · Physics 2009-11-07 Marc Bocquet

We consider the spin-1/2 Heisenberg XXZ chain in the regime of large Ising-like anisotropy $\Delta$. By a combination of duality and Jordan-Wigner transformations we derive a mapping to weakly interacting spinless fermions, which represent…

Strongly Correlated Electrons · Physics 2015-03-31 A. J. A. James , W. D. Goetze , F. H. L. Essler

Spin-dynamics simulations have been used to investigate the dynamic behavior of RbMnF_3, treating it as a classical Heisenberg antiferromagnet on a simple cubic lattice. Time-evolutions of spin configurations were determined numerically…

Statistical Mechanics · Physics 2016-08-31 D. P. Landau , Shan-Ho Tsai , Alex Bunker

Motivated by the recent inelastic neutron scattering (INS) measurements in the iron pnictides which show a strong anisotropy of spin excitations in directions perpendicular and parallel to the ordering wave-vector even above the magnetic…

Strongly Correlated Electrons · Physics 2015-10-19 Patricia Bilbao Ergueta , Andriy H. Nevidomskyy

We determine dynamical response functions of the S=1/2 Heisenberg quantum antiferromagnet on the kagome lattice based on large-scale exact diagonalizations combined with a continued fraction technique. The dynamical spin structure factor…

Strongly Correlated Electrons · Physics 2009-01-09 Andreas Laeuchli , Claire Lhuillier

Inelastic neutron-scattering and finite-temperature density matrix renormalization group (DMRG) calculations are used to investigate the spin excitation spectrum of the $S=1/2$ Heisenberg spin chain compound K$_2$CuSO$_4$Cl$_2$ at several…

Strongly Correlated Electrons · Physics 2017-10-04 Dominic Blosser , Noam Kestin , Kirill Yu. Povarov , Robert Bewley , Emanuele Coira , Thierry Giamarchi , Andrey Zheludev

We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give…

High Energy Physics - Theory · Physics 2008-11-26 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch