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Related papers: Insights into the Anisotropic Spin-$S$ Kitaev Chai…

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We analyze the Kitaev model on the triangle-honeycomb lattice whose ground state has recently been shown to be a chiral spin liquid. We consider two perturbative expansions: the isolated-dimer limit containing Abelian anyons and the…

Other Condensed Matter · Physics 2008-09-08 S. Dusuel , K. P. Schmidt , J. Vidal , R. L. Zaffino

The Kitaev honeycomb model, which is exactly solvable by virtue of an extensive number of conserved quantities, supports a gapless quantum spin liquid phase as well as gapped descendants relevant for fault-tolerant quantum computation. We…

Strongly Correlated Electrons · Physics 2026-01-28 Yue Liu , Nathanan Tantivasadakarn , Kevin Slagle , David F. Mross , Jason Alicea

Magnetic systems with frustration often have large classical degeneracy. We show that their low-energy physics can be understood as dynamics within the space of classical ground states. We demonstrate this mapping in a family of quantum…

Strongly Correlated Electrons · Physics 2019-10-11 Subhankar Khatua , Diptiman Sen , R. Ganesh

We study the excitation spectrum of the spin-1 Kitaev model using the symmetric tensor network. By evaluating the virtual order parameters defined on the virtual Hilbert space in the tensor network formalism, we confirm the ground state is…

Strongly Correlated Electrons · Physics 2023-04-07 Yu-Hsueh Chen , Jozef Genzor , Yong Baek Kim , Ying-Jer Kao

Quantum spin liquids (QSLs) form an extremely unusual magnetic state in which the spins are highly correlated and fluctuate coherently down to the lowest temperatures, but without symmetry breaking and without the formation of any static…

Competition and cooperation between electron correlation and relativistic spin-orbit coupling give rise to diverse exotic quantum phenomena in solids. An illustrative example is spin-orbit entangled quantum liquids, which exhibit remarkable…

Strongly Correlated Electrons · Physics 2024-03-15 Yi-Feng Zhao , Seong-Hoon Jang , Yukitoshi Motome

Multipolar spin systems provide a rich ground for the emergence of unexpected states of matter due to their enlarged spin degree of freedom. In this study, with a specific emphasis on $S=1$ magnets, we explore the interplay between spin…

Strongly Correlated Electrons · Physics 2024-08-06 Rico Pohle , Nic Shannon , Yukitoshi Motome

The Kitaev model belongs to an unconventional class of two-dimensional spin systems characterized by anisotropic, bond-dependent interactions that give rise to Quantum Spin Liquid (QSL) states. These exotic phases, marked by the absence of…

Strongly Correlated Electrons · Physics 2026-01-29 A. R. Moura , L. V. Santos

The structure of few-fermion systems having $1/2$ spin-isospin symmetry is studied using potential models. The strength and range of the two-body potentials are fixed to describe low energy observables in the angular momentum $L=0$ state…

Nuclear Theory · Physics 2016-03-23 A. Kievsky , M. Gattobigio

A continuum limit treatment of planar spin chains with arbitrary S is presented. The difference between integer and half-integer spins is emphasised. While isotropic half-integer spin chains are gapless,and have power-law decay of…

Other Condensed Matter · Physics 2016-12-02 F. D. M. Haldane

We study the low-temperature properties of S=1 and 1/2 alternating spin chains with antiferromagnetic nearest-neighbor exchange couplings using analytical techniques as well as a quantum Monte Carlo method. The spin-wave approach predicts…

Condensed Matter · Physics 2009-10-28 S. Brehmer , H. -J. Mikeska , S. Yamamoto

The ground state and thermodynamic properties of spin-1 and spin-3/2 chains are investigated via exactly solved su(3) and su(4) models with physically motivated chemical potential terms. The analysis involves the Thermodynamic Bethe Ansatz…

Statistical Mechanics · Physics 2011-02-16 M. T. Batchelor , X. -W. Guan , N. Oelkers , A. Foerster

Magnetic anisotropies often originate from the spin-orbit coupling and determine magnetic ordering patterns. We develop a microscopic theory for DC electric-field controls of magnetic anisotropies in magnetic Mott insulators and discuss its…

Strongly Correlated Electrons · Physics 2024-03-15 Shunsuke C. Furuya , Masahiro Sato

Using superconducting quantum circuit elements, we propose an approach to experimentally construct a Kitaev lattice, which is an anisotropic spin model on a honeycomb lattice with three types of nearest-neighbor interactions and having…

Superconductivity · Physics 2010-07-21 J. Q. You , Xiao-Feng Shi , Xuedong Hu , Franco Nori

We study the spin-$S$ Kitaev model in the classical ($S \to \infty$) limit using Monte Carlo simulations combined with semi-classical spin dynamics. We discuss differences and similarities in the dynamical structure factors of the…

Strongly Correlated Electrons · Physics 2017-10-11 A. M. Samarakoon , A. Banerjee , S. -S. Zhang , Y. Kamiya , S. E. Nagler , D. A. Tennant , S. -H. Lee , C. D. Batista

The Kitaev spin liquid provides a rare example of well-established quantum spin liquids in more than one dimension. It is obtained as the exact ground state of the Kitaev spin model with bond-dependent anisotropic interactions. The peculiar…

Strongly Correlated Electrons · Physics 2020-07-14 Y. Motome , R. Sano , S. -H. Jang , Y. Sugita , Y. Kato

We investigate the thermodynamics and energy eigenstates of a spin-1/2 coupled trimer, tetramer in a star configuration, and tetrahedron. Using a Heisenberg Hamiltonian with additional Kitaev interactions, we explore the thermodynamic…

Materials Science · Physics 2025-06-10 Evan M. Wilson , Jian-Xin Zhu , Jason T. Haraldsen

Spin-singlet orders are studied for the antiferromagnetic Heisenberg model with spin $S$>1/2 on a breathing pyrochlore lattice, where tetrahedron units are weakly coupled and exchange constants have two values $0<J' \ll J$. The ground state…

Strongly Correlated Electrons · Physics 2017-02-16 Hirokazu Tsunetsugu

The low-energy effective Hamiltonian of three coupled spin chains with periodic boundary conditions (spin tube) is expressed, in the limit of strong interchain coupling, in terms of XXZ chains coupled by biquadratic exchange interaction. A…

Strongly Correlated Electrons · Physics 2009-10-31 E. Orignac , R. Citro , N. Andrei

The identification of microscopic models describing the low-energy properties of correlated materials has been a central goal of spectroscopic measurements. We demonstrate how 2D non-linear spectroscopy can be used to distinguish effective…

Strongly Correlated Electrons · Physics 2023-12-12 GiBaik Sim , Frank Pollmann , Johannes Knolle