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Uncovering topologically nontrivial states in nature is an intriguing and important issue in recent years. While most studies are based on the topological band insulators, the topological state in strongly correlated low-dimensional systems…

Strongly Correlated Electrons · Physics 2015-03-18 Hai-Ping Hu , Chen Cheng , Hong-Gang Luo , Shu Chen

Many low dimensional spin systems with a dimerized or ladder-like antiferromagnetic exchange coupling have a gapped excitation spectrum with magnetic bound states within the spin gap. For spin ladders with an even number of legs the…

Strongly Correlated Electrons · Physics 2009-10-31 P. Lemmens , M. Fischer , M. Grove , P. H. M. v. Loosdrecht , G. Els , E. Sherman , C. Pinettes , G. Güntherodt

In this paper we analyze the spin-wave excitations (magnons) of an inhomogeneous spin system within the Boltzmann-Gibbs framework and then connect the results with the nonextensive approach (in the sense of Tsallis statistics). Considering…

Statistical Mechanics · Physics 2009-11-13 D. O. Soares-Pinto , M. S. Reis , R. S. Sarthour , I. S. Oliveira

We study the one-dimensional spin-1/2 model with nearest and next-to-nearest-neighbor couplings exposed to a homogeneous magnetic field $h_{3}$ and a dimer field with period $q$ and strength $\delta$. The latter generates a magnetization…

Strongly Correlated Electrons · Physics 2016-08-15 A. Fledderjohann , C. Gerhardt , M. Karbach , K. -H. Mütter , R. Wießner

This pedagogical article is aimed to the beginning graduate students interested in broad field of frustrated magnetism. We introduce and present some of the exact results obtained in Kitaev model. The Kitaev model embodies an unusual two…

Strongly Correlated Electrons · Physics 2020-06-23 Saptarshi Mandal , Arun M Jayannavar

The low energy excitation spectrum of a two-dimensional ferromagnetic material is dominated by single-magnon excitations that show a gapless parabolic dispersion relation with the spin wave vector. This occurs as long as magnetic anisotropy…

Mesoscale and Nanoscale Physics · Physics 2023-10-25 F. Delgado , M. M. Otrokov , A. Arnau

In the paper a self-consistent theoretical description of the lattice and magnetic properties of a model system with magnetoelastic interaction is presented. The dependence of magnetic exchange integrals on the distance between interacting…

Statistical Mechanics · Physics 2016-12-07 T. Balcerzak , K. Szałowski , M. Jaščur

The one dimensional (1D) spin-1/2 Heisenberg-Ising model, a prototype quantum many-body system, has been intensively studied for many years. In this review, after a short introduction on some basic concepts of group theory for the…

Strongly Correlated Electrons · Physics 2023-01-18 Jiahao Yang , Xiao Wang , Jianda Wu

We investigate the S=1/2 antiferromagnetic Heisenberg model with a 3$\times$3 checkerboard lattice structure in a longitudinal magnetic field. By using the stochastic series expansion quantum Monte Carlo (SSE-QMC) method, we obtain the…

Strongly Correlated Electrons · Physics 2025-07-22 Xuyang Liang , Dao-Xin Yao

In this paper, we study three specific aspects of entanglement in small spin clusters. We first study the effect of inhomogeneous exchange coupling strength on the entanglement properties of the S=1/2 antiferromagnetic linear chain tetramer…

Quantum Physics · Physics 2007-05-23 Amit Tribedi , Indrani Bose

The nuclear spin relaxation rate (1/$T_1$) is measured for GaAs two-dimensional electron systems in the quantum Hall regime with an all-electrical technique for agitating and probing the nuclear spins. A "tilted plateau" feature is observed…

Mesoscale and Nanoscale Physics · Physics 2015-06-01 Tong Guan , Benedikt Friess , Yongqing Li , Shishen Yan , Vladimir Umansky , Klaus von Klitzing , Jurgen H. Smet

Magnetic properties, such as magnetizations, internal energy, specific heat, entropy, Helmholtz free energy and phase diagrams of the spin-3/2 Blume-Capel model on hexagonal Ising nanowire (HIN) with core-shell structure are studied by…

Statistical Mechanics · Physics 2014-06-26 Yusuf Kocakaplan , Mehmet Ertas

Materials potentially hosting Kitaev spin-liquid states are considered crucial for realizing topological quantum computing. However, the intricate nature of spin interactions within these materials complicates the precise measurement of…

Spin systems are fundamental models of statistical physics that provide insight into collective behavior across scientific domains. Their interest to computer science stems in part from the deep connection between the phase transitions they…

Mathematical Physics · Physics 2025-04-28 Jacob Calvert , Shunhao Oh , Dana Randall

We study the Kitaev-Heisenberg-$\Gamma$-$\Gamma'$ model that describes the magnetism in strong spin-orbit coupled honeycomb lattice Mott insulators. In strong $[111]$ magnetic fields that bring the system into the fully polarized…

Strongly Correlated Electrons · Physics 2018-08-15 P. A. McClarty , X. -Y. Dong , M. Gohlke , J. G. Rau , F. Pollmann , R. Moessner , K. Penc

Two one-dimensional spin-1 antiferromagnetic Ising models with a single-ion anisotropy under external magnetic field at low temperatures are exactly investigated by the transfer-matrix technique. The magnetization per spin ($m$) is obtained…

Statistical Mechanics · Physics 2009-05-06 Fabian Litaiff , J. Ricardo de Sousa , N. S. Branco

The magnetic excitations in the stripe phase of high-T_c superconductors are investigated in a model of spin ladders which are effectively coupled via charged stripes. Starting from the effective single-triplon model for the isolated spin…

Superconductivity · Physics 2016-08-16 G. S. Uhrig , K. P. Schmidt , M. Grüninger

A prominent feature of quantum spin liquids is fractionalization of the spin degree of freedom. Fractionalized excitations have their own dynamics in different energy scales, and hence, affect finite-temperature ($T$) properties in a…

Strongly Correlated Electrons · Physics 2017-08-04 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

We report the magnetic excitation spectrum as measured by inelastic neutron scattering for a polycrystalline sample of Sr$_3$CuPtO$_6$. Modeling the data by the 2+4 spinon contributions to the dynamical susceptibility within the chains, and…

The magnetization process is a very important probe to study magnetic materials, particularly in search of spin-liquid states in quantum spin systems. Regrettably, however, progress of the theoretical analysis has been unsatisfactory,…

Strongly Correlated Electrons · Physics 2023-09-27 Tota Nakamura