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Motivated by recent experiments on the Kitaev honeycomb magnet $\alpha\text{-RuCl}_3$, we introduce time-domain probes of the edge and quasiparticle content of non-Abelian spin liquids. Our scheme exploits ancillary quantum spins that…

Strongly Correlated Electrons · Physics 2021-04-29 Kai Klocke , David Aasen , Roger S. K. Mong , Eugene A. Demler , Jason Alicea

Experimental identification of quantum spin liquids remains a challenge, as the pristine nature is to be seen in asymptotically low temperatures. We here theoretically show that the precursor of quantum spin liquids appears in the spin…

Strongly Correlated Electrons · Physics 2016-10-12 Junki Yoshitake , Joji Nasu , Yukitoshi Motome

In addition to the Kitaev ($K$) interaction, candidate Kitaev materials also possess Heisenberg ($J$) and off-diagonal symmetric ($\Gamma$) couplings. We investigate the quantum ($S = 1/2$) $K$-$J$-$\Gamma$ model on the honeycomb lattice by…

Strongly Correlated Electrons · Physics 2019-11-14 Jiucai Wang , B. Normand , Zheng-Xin Liu

The excitation spectrum of Kitaev quantum spin liquids consists of itinerant Majorana fermions, which can be gapless or gapped, and vortices of a $\mathbb{Z}_2$ gauge field, known as visons, which are always gapped. In this work, we…

Strongly Correlated Electrons · Physics 2026-04-28 Caio V. S. Soares , Rodrigo G. Pereira

We argue that strongly correlated two dimensional electrons form a spin liquid in some regimes of density and temperature and give the theory of the magnetic properties of this spin liquid using the representation in terms of femions…

Condensed Matter · Physics 2007-05-23 L. B. Ioffe , A. J. Millis

By using the density matrix renormalization group, we study the spin-liquid phases of spin-$1/2$ XXZ kagome antiferromagnets. We find that the emergence of spin liquid phase does not depend on the anisotropy of the XXZ interaction. In…

Strongly Correlated Electrons · Physics 2015-01-23 Yin-Chen He , Yan Chen

We use junctions of critical spin-1 chains as the basic elements to construct a honeycomb network that harbors a gapless chiral spin liquid phase. The low-energy modes are described by spin-1 Majorana fermions that form a two-dimensional…

Strongly Correlated Electrons · Physics 2024-02-20 Fabrizio G. Oliviero , Weslei B. Fontana , Rodrigo G. Pereira

Anderson proposed structural topology in frustrated magnets hosting novel quantum spin liquids (QSLs). The QSL state is indeed exactly derived by fractionalizing the spin excitation into spinless Majorana fermions in a perfect two…

We report variational Monte Carlo calculations for the spin-$\frac{1}{2}$ Heisenberg model on the kagome lattice in the presence of both nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic superexchange couplings. Our…

Strongly Correlated Electrons · Physics 2015-01-13 Yasir Iqbal , Didier Poilblanc , Federico Becca

Dirac spin liquids represent a class of highly-entangled quantum phases in two dimensional Mott insulators, featuring exotic properties such as critical correlation functions and absence of well-defined low energy quasi-particles. Existing…

Strongly Correlated Electrons · Physics 2021-03-30 Vladimir Calvera , Chong Wang

A spin liquid is a novel quantum state of matter with no conventional order parameter where a finite charge gap exists even though the band theory would predict metallic behavior. Finding a stable spin liquid in two or higher spatial…

Strongly Correlated Electrons · Physics 2012-12-20 Sandro Sorella , Yuichi Otsuka , Seiji Yunoki

We established a large class of exactly soluble spin liquids and chiral spin liquids on three dimensional helix lattices by introducing Kitaev-type's spin coupling. In the chiral spin liquids, exact stable ground states with spontaneous…

Strongly Correlated Electrons · Physics 2012-06-07 Tieyan Si , Yue Yu

We investigate non-Hermitian versions of the Yao-Lee model, supplemented by various kinds of SO(3)-symmetry-breaking terms, preserving the solvability of the model. The parent model hosts three species of Majorana fermions, thereby serving…

Quantum Physics · Physics 2024-07-12 Ipsita Mandal

We present numerical evidence for the presence of a finite-temperature ($T$) phase transition separating paramagnet and quantum spin liquid in a three-dimensional variant of the Kitaev model defined on a hyperhoneycomb lattice in the limit…

Strongly Correlated Electrons · Physics 2015-06-17 J. Nasu , T. Kaji , K. Matsuura , M. Udagawa , Y. Motome

We study the nature of an environment-induced exceptional point in a non-Hermitian pair of coupled mechanical oscillators. The mechanical oscillators are a pair of pillars carved out of a single isotropic elastodynamic medium made of…

Applied Physics · Physics 2020-02-05 V. Dominguez-Rocha , Ramathasan Thevamaran , F. M. Ellis , T. Kottos

Non-Hermitian systems have been discussed mostly in the context of open systems and nonequilibrium. Recent experimental progress is much from optical, cold-atomic, and classical platforms due to the vast tunability and clear identification…

Mesoscale and Nanoscale Physics · Physics 2024-01-25 Xiao-Xiao Zhang , Naoto Nagaosa

The spin-split states subject to Rashba spin-orbit coupling in two-dimensional systems have long been accepted as pointing inplane and perpendicular to the corresponding wave vectors. This is in general true for free electron model, but…

Mesoscale and Nanoscale Physics · Physics 2009-12-13 Ming-Hao Liu , Ching-Ray Chang

The exactly solvable Kitaev honeycomb lattice model is realized as the low energy effect Hamiltonian of a spin-1/2 model with spin rotation and time-reversal symmetry. The mapping to low energy effective Hamiltonian is exact, without…

Strongly Correlated Electrons · Physics 2010-05-20 Fa Wang

We derive a new microscopic spin Hamiltonian for Rashba-coupled double exchange metals. The Hamiltonian consists of anisotropic interactions of the Dzyaloshinskii-Moriya (DM) and Kitaev form, in addition to the standard isotropic term. We…

Strongly Correlated Electrons · Physics 2020-08-12 Deepak S. Kathyat , Arnob Mukherjee , Sanjeev Kumar

Exceptional points (EPs), i.e., non-Hermitian degeneracies at which eigenvalues and eigenvectors coalesce, can be realized by tuning the gain/loss contrast of different modes in non-Hermitian systems or by engineering the asymmetric…