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The spin-1/2 Heisenberg kagome antiferromagnet is one of the paradigmatic playgrounds for frustrated quantum magnetism, with an extensive number of competing resonating valence bond (RVB) states emerging at low energies, including gapped…

Strongly Correlated Electrons · Physics 2020-08-10 Yang Yang , Natalia B. Perkins , Fulya Koç , Chi-Huei Lin , Ioannis Rousochatzakis

We present a model of equal spin $s_1$ dimer single molecule magnets. The spins within each dimer interact via the Heisenberg and the most general set of four quadratic anisotropic spin interactions with respective strengths $J$ and…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Dmitri V. Efremov , Richard A. Klemm

Using a Monte Carlo method, we study the finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with or without easy-plane anisotropy. The model takes account of competing interactions:…

Statistical Mechanics · Physics 2015-03-19 Ryo Tamura , Naoki Kawashima

We study magnetism in simple models for rare earth quasicrystals by means of a two-step theoretical approach. First, we compute RKKY interactions from a tight-binding Hamiltonian defined on a two-dimensional quasiperiodic tiling. Second, we…

Strongly Correlated Electrons · Physics 2015-05-19 Stefanie Thiem , J. T. Chalker

The RKKY interaction between substitutional Mn local moments in GaAs is both spin-direction-dependent and spatially anisotropic. In this Letter we address the strength of these anisotropies using a semi-phenomenological tight-binding model…

Materials Science · Physics 2009-11-10 C. Timm , A. H. MacDonald

We present an extensive overview of the phase diagram, spin-wave excitations, and finite-temperature transitions of the anisotropic-exchange magnets on an ideal nearest-neighbor triangular lattice. We investigate transitions between five…

Strongly Correlated Electrons · Physics 2022-02-23 P. A. Maksimov , Zhenyue Zhu , Steven R. White , A. L. Chernyshev

Inspired by the recent discovery of metallic spin supersolidity and its giant magnetocaloric effect in the rare-earth alloy EuCo$_2$Al$_9$ [Nature 651, 61 (2026)], we perform a combined study through electronic structure analysis, effective…

Strongly Correlated Electrons · Physics 2026-03-26 Ning Xi , Xitong Xu , Guoliang Wu , Mingfang Shu , Hao Chen , Yuan Gao , Zhentao Wang , Gang Su , Jie Ma , Zhe Qu , Xi Chen , Wei Li

Phase diagram of the spin-1 quantum Heisenberg model with both exchange as well as single-ion anisotropy is constructed within the framework of pair approximation formulated as a variational procedure based on the Gibbs-Bogoliubov…

Statistical Mechanics · Physics 2008-07-25 Jozef Strecka , Jan Dely , Lucia Canova

We study the indirect exchange interaction between two localized magnetic moments, known as Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, in a one-dimensional spin-polarized electron gas. We find explicit expressions for each term of…

Strongly Correlated Electrons · Physics 2016-10-04 M. M. Valizadeh

Recent experiments on the anisotropic spin-1/2 triangular antiferromagnet Cs_2CuBr_4 have revealed a remarkably rich phase diagram in applied magnetic fields, consisting of an unexpectedly large number of ordered phases. Motivated by this…

Strongly Correlated Electrons · Physics 2012-01-04 Christian Griset , Shane Head , Jason Alicea , Oleg A. Starykh

Magnetic interactions between impurity spins play a crucial role in determining magnetic configurations in spintronic systems. Using a Green's function formalism, we investigate Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange interactions…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Anirban Kundu

The interaction energy for the indirect-exchange or Ruderman-Kittel-Kasuva-Yosida (RKKY) interaction between magnetic spins localized on lattice sites of the $\alpha$-${\cal T}_3$ model is calculated using linear response theory. In this…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Oleksiy Roslyak , Godfrey Gumbs , Antonios Balassis , Heba Elsayed

Recent experimental study on Tsai-type quasicrystalline approximant Au-Al-Gd has revealed the presence of magnetic orders and phase transitions with changing the Au/Al concentration. Motivated by the experiment, we theoretically investigate…

Strongly Correlated Electrons · Physics 2020-03-04 Haruka Miyazaki , Takanori Sugimoto , Katsuhiro Morita , Takami Tohyama

We consider a spin-fermion model consisting of free electrons coupled to classical spins, where the latter are embedded in a quasi one-dimensional superlattice structure consisting of spin blocks separated by spinless buffers. Using a…

Strongly Correlated Electrons · Physics 2020-09-30 Sabyasachi Tarat , Jian Li , Richard T. Scalettar , Rubem Mondaini

We investigate magnetic order in a lattice of classical spins coupled to an isotropic gas of one-dimensional (1d) conduction electrons via local exchange interactions. The frequently discussed Ruderman-Kittel-Kasuya-Yosida (RKKY) effective…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Michael Schecter , Mark S. Rudner , Karsten Flensberg

We study the interacting Fermi-Hubbard model in two spatial dimensions with synthetic gauge coupling of the spin orbit Rashba type, at half-filling. Using real space mean field theory, we numerically determine the phase as a function of the…

Strongly Correlated Electrons · Physics 2014-01-08 Jiří Minář , Benoît Grémaud

Motivated by recent experiments on Nd-langasite, we consider the effect of strong easy axis single-ion anisotropy $D$ on $S > 3/2$ spins interacting with antiferromagnetic exchange $J$ on the Kagome lattice. When $T \ll DS^2$, the collinear…

Strongly Correlated Electrons · Physics 2015-05-13 Arnab Sen , Kedar Damle , R. Moessner

Topological spin textures, like skyrmions, have significant potential for spintronics applications. The main purpose of this work is to study further the topological spin textures on the discrete lattice with magnetic fields. In this work,…

Strongly Correlated Electrons · Physics 2022-04-26 Lipeng Jin , Bin Xi , Yongjun Liu

Inducing sizable spin--orbit interactions in graphene by proximity effect is establishing as a successful route to harnessing two-dimensional Dirac fermions for spintronics. Semiconducting transition metal dichalcogenides (TMDs) are an…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Manuel Offidani , Aires Ferreira

The spin of a single atom adsorbed on a substrate is a promising building block for future spintronics and quantum computation schemes. To process spin information and also for increased magnetic stability, these building blocks have to be…