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We derive the microscopic spin Hamiltonian for rhombohedral CrI$_3$ using extensive first-principles density functional theory (DFT) calculations which incorporate spin-orbit coupling and Hubbard U. Our calculations indicate a dominant…

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

In the Kitaev honeycomb model, spins coupled by strongly-frustrated anisotropic interactions do not order at low temperature but instead form a quantum spin liquid with spin fractionalization into Majorana fermions and static fluxes. The…

We study the 3D Kitaev and Kitaev-Heisenberg models respectively on the hyperhoneycomb and hyperoctagon lattices, both at zero and finite-temperature, in the thermodynamic limit. Our analysis relies on advanced tensor network (TN)…

Strongly Correlated Electrons · Physics 2021-09-08 Saeed S. Jahromi , Hadi Yarloo , Roman Orus

In this work we present a theoretical investigation into an antiferromagnetically coupled spin system, specifically ${\rm Cu}_{3}-X$ ($\mathrm{X=As,Sb}$), which exhibits an isosceles triangular configuration or slightly distorted…

Strongly Correlated Electrons · Physics 2025-04-25 G. A. Antonio , J. Torrico , A. S. da Mata , S. M. de Souza , Onofre Rojas

$^7$Li nuclear magnetic resonance (NMR) and terahertz (THz) spectroscopies are used to probe magnetic excitations and their field dependence in the hyperhoneycomb Kitaev magnet $\beta$-Li$_2$IrO$_3$. Spin-lattice relaxation rate ($1/T_1$)…

Strongly Correlated Electrons · Physics 2020-06-16 M. Majumder , M. Prinz-Zwick , S. Reschke , A. Zubtsovskii , T. Dey , F. Freund , N. Büttgen , A. Jesche , I. Kézsmárki , A. A. Tsirlin , P. Gegenwart

Topological states of matter such as quantum spin liquids (QSLs) are of great interest because of their remarkable predicted properties including protection of quantum information and the emergence of Majorana fermions. Such QSLs, however,…

Frustrated quantum spin systems such as the Heisenberg and Kitaev models on various lattices, have been known to exhibit various exotic properties not only at zero temperature but also for finite temperatures. Inspired by the remarkable…

Strongly Correlated Electrons · Physics 2020-03-04 Katsuhiro Morita , Takami Tohyama

We present terahertz spectroscopic measurements of quantum spin dynamics in the honeycomb magnet K$_2$Co$_2$TeO$_6$ as a function of temperature, polarization and in an external magnetic field applied in the honeycomb plane. Magnetic…

Strongly Correlated Electrons · Physics 2025-08-01 Patrick Pilch , Laur Peedu , Urmas Nagel , Toomas Rõõm , Changqing Zhu , Yurii Skourski , Xianghan Xu , Robert J. Cava , Zhe Wang

We report on the unusual behavior of the in-plane thermal conductivity ($\kappa$) and torque ($\tau$) response in the Kitaev-Heisenberg material $\alpha$-RuCl$_3$. $\kappa$ shows a striking enhancement with linear growth beyond H = 7 T,…

Strongly Correlated Electrons · Physics 2017-05-10 Ian A. Leahy , Christopher A. Pocs , Peter E. Siegfried , David Graf , S. -H. Do , Kwang-Yong Choi , B. Normand , Minhyea Lee

The insulating honeycomb magnet $\alpha$-RuCl$_{3}$ exhibits fractionalized excitiations that signal its proximity to a Kitaev quantum spin liquid (QSL) state, however, at $T=0$, fragile long-range magnetic order arises from non-Kitaev…

Strongly Correlated Electrons · Physics 2017-12-12 P. Lampen-Kelley , A. Banerjee , A. A. Aczel , H. B. Cao , M. B. Stone , C. A. Bridges , J. -Q. Yan , S. E. Nagler , D. Mandrus

We consider the exchange couplings present in an effective Hamiltonian of $\alpha$-RuCl$_3$, known as the K-$\Gamma$ model. This material has a honeycomb lattice, and is expected to be a representative of the Kitaev materials (which can…

Strongly Correlated Electrons · Physics 2022-04-19 Ipsita Mandal

Temperature-dependent dynamical spin correlations, which can be readily accessed via a variety of experimental techniques, hold the potential of offering a unique fingerprint of quantum spin liquids and other intriguing dynamical states. In…

Strongly Correlated Electrons · Physics 2021-01-21 P. Prelovšek , M. Gomilšek , T. Arh , A. Zorko

Motivated by the ongoing effort to search for high-resolution signatures of quantum spin liquids, we investigate the temperature dependence of the indirect resonant inelastic x-ray scattering (RIXS) response for the Kitaev honeycomb model.…

Strongly Correlated Electrons · Physics 2019-06-28 Gábor B. Halász , Stefanos Kourtis , Johannes Knolle , Natalia B. Perkins

Magnetic anisotropy of spin models with directional-dependent interactions in the high-temperature paramagnetic phase is theoretically studied. Using a high temperature expansion, we show that the Ising type directional-dependent…

Strongly Correlated Electrons · Physics 2017-05-16 Hiroaki Ishizuka

The proliferation of quantum fluctuations and long-range entanglement presents an outstanding challenge for the numerical simulation of interacting spin systems with exotic ground states. Here, we present a toolset of Chebyshev…

Strongly Correlated Electrons · Physics 2024-02-28 Francisco M. O. Brito , Aires Ferreira

For quantum spin systems in equilibrium, the dynamic structure factor (DSF) is among the most feature-packed experimental observables. However, from a theory perspective it is often hard to simulate in an unbiased and accurate way,…

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

Quantum spin liquids can arise from Kitaev magnetic interactions, and exhibit fractionalized excitations with the potential for a topological form of quantum computation. This review surveys recent experimental and theoretical progress on…

In the quest for realizations of quantum spin liquids, the exploration of Kitaev materials - spin-orbit entangled Mott insulators with strong bond-directional exchanges - has taken center stage. However, in these materials the local…

We investigate the phononic in-plane longitudinal low-temperature thermal conductivity kappa_ab of the Kitaev quantum magnet alpha-RuCl3 for large in-plane magnetic fields up to 33 T. Our data reveal for fields larger than the critical…