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The transport of magnetization is analyzed for the classical Heisenberg chain at and especially above the isotropic point. To this end, the Hamiltonian equations of motion are solved numerically for initial states realizing harmonic-like…

Statistical Mechanics · Physics 2012-03-15 Robin Steinigeweg

The high-temperature series expansion for quantum spin models is a well-established tool to compute thermodynamic quantities and equal-time spin correlations, in particular for frustrated interactions. We extend the scope of this expansion…

Strongly Correlated Electrons · Physics 2026-02-06 Ruben Burkard , Benedikt Schneider , Björn Sbierski

The $S=1/2$ Heisenberg antiferromagnet is studied on the kagom\'e lattice by using a Green's function method based on an appropriate decoupling of the equations of motion. Thermodynamic properties as well as spin-spin correlation functions…

Strongly Correlated Electrons · Physics 2009-11-07 B. H. Bernhard , B. Canals , C. Lacroix

We use the rotation-invariant Green's function method (RGM) and the high-temperature expansion (HTE) to study the thermodynamic properties of the spin-$S$ Heisenberg ferromagnet on the pyrochlore lattice. We examine the excitation spectra…

Strongly Correlated Electrons · Physics 2017-11-22 Patrick Müller , Andre Lohmann , Johannes Richter , Oleg Menchyshyn , Oleg Derzhko

The thermodynamic properties (magnetization, magnetic susceptibility, transverse and longitudinal correlation lengths, specific heat) of one- and two-dimensional ferromagnets with arbitrary spin S in a magnetic field are investigated by a…

Strongly Correlated Electrons · Physics 2009-11-13 I. Juhász Junger , D. Ihle , L. Bogacz , W. Janke

We present the theory of nonzero temperature ($T$) spin dynamics and transport in one-dimensional Heisenberg antiferromagnets with an energy gap $\Delta$. For $T << \Delta$, we develop a semiclassical picture of thermally excited particles.…

Strongly Correlated Electrons · Physics 2007-05-23 Kedar Damle , Subir Sachdev

The competition between Hamiltonian and Lindblad dynamics in quantum systems give rise to non-equillibrium phenomena with no counter part in conventional condensed matter physics. In this paper, we investigate this interplay of dynamics in…

Quantum Physics · Physics 2024-01-31 Irfan A Dar , Faisal Farooq , Junaid Majeed , Mehboob Rashid , Sheikh Irfan , Muzaffar Qadir Lone

We present a spin-rotation-invariant Green-function theory for the dynamic spin susceptibility in the spin-1/2 antiferromagnetic Heisenberg model on a stacked honeycomb lattice. Employing a generalized mean-field approximation for arbitrary…

Strongly Correlated Electrons · Physics 2017-03-27 A. A. Vladimirov , D. Ihle , N. M. Plakida

Quantum Heisenberg ferromagnets with long-range interactions decayin as $1/r^p$ in one and two dimensions are investigated by means of the Green's function method. It is shown that there exists a finite-temperature phase transition in the…

Condensed Matter · Physics 2009-10-28 Hiroki Nakano , Minoru Takahashi

Combining high-temperature expansions with the recursion method and quantum Monte Carlo simulations with the maximum entropy method, we study the dynamics of the spin-1/2 Heisenberg chain at temperatures above and below the coupling J. By…

Strongly Correlated Electrons · Physics 2009-10-30 O. A. Starykh , A. W. Sandvik , R. R. P. Singh

We use numerical techniques to study dynamical properties at finite temperature ($T$) of the Heisenberg spin chain with random exchange couplings, which realizes the random singlet (RS) fixed point in the low-energy limit. Specifically, we…

Strongly Correlated Electrons · Physics 2018-04-02 Yu-Rong Shu , Maxime Dupont , Dao-Xin Yao , Sylvain Capponi , Anders W. Sandvik

We study experimentally the far-from-equilibrium dynamics in ferromagnetic Heisenberg quantum magnets realized with ultracold atoms in an optical lattice. After controlled imprinting of a spin spiral pattern with adjustable wave vector, we…

We present a second-order Green's-function theory of the one- and two-dimensional S=1/2 ferromagnet in a magnetic field based on a decoupling of three-spin operator products, where vertex parameters are introduced and determined by exact…

Strongly Correlated Electrons · Physics 2016-08-31 I. Junger , D. Ihle , J. Richter , A. Kluemper

The large-scale dynamics of quantum integrable systems is often dominated by ballistic modes due to the existence of stable quasi-particles. We here consider as an archetypical example for such a system the spin-$\frac{1}{2}$ XXX Heisenberg…

Statistical Mechanics · Physics 2020-01-15 Felix Weiner , Peter Schmitteckert , Soumya Bera , Ferdinand Evers

We have experimentally studied the renormalized effective mass m* and Dingle temperature T_D in two spin subbands with essentially different electron populations. Firstly, we found that the product (m*T_D) that determines damping of quantum…

Strongly Correlated Electrons · Physics 2015-06-22 V. M. Pudalov , M. E. Gershenson , H. Kojima

Using the spin-rotation-invariant Green's function method we calculate the thermodynamic quantities (correlation functions <S_0 S_R>, uniform static spin susceptibility \chi, correlation length \xi, and specific heat C_V) of the…

Strongly Correlated Electrons · Physics 2010-05-27 M. Härtel , J. Richter , D. Ihle , S. -L. Drechsler

We study d-wave superconductivity in the extended Hubbard model in the strong correlation limit for a large intersite Coulomb repulsion V. We argue that in the Mott-Hubbard regime with two Hubbard subbands there emerges a new energy scale…

Strongly Correlated Electrons · Physics 2014-09-08 Nikolay M. Plakida , Viktor S. Oudovenko

We study one-dimensional anisotropic XXZ spin-$\frac12$ model with ferromagnetic sign of the coupling and $z-z$ exchange constant $J_z = \Delta J$, where $\Delta < 1$, and $J$ is the coupling within XY spin plane. We calculate damping of…

Strongly Correlated Electrons · Physics 2016-11-23 Igor Poboiko , Mikhail Feigel'man

Motivated by recent experimental progress in the quasi-one-dimensional quantum magnet NiNb$_2$O$_6$, we study the spin dynamics of an S=1 ferromagnetic Heisenberg chain with single-ion anisotropy by using a semiclassical molecular dynamics…

Strongly Correlated Electrons · Physics 2024-08-01 Chengchen Li , Yi Cui , Weiqiang Yu , Rong Yu

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