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Motivated by the appearance of Majorana fermions in a broad range of correlated and topological electronic systems, we develop a general method to compute the dynamical response of interacting Majorana fermions in the random-phase…

Strongly Correlated Electrons · Physics 2025-07-29 Peng Rao , Roderich Moessner , Johannes Knolle

We propose an RKKY-type interaction that is mediated by a spin liquid. If a spin liquid ground state exists such an interaction could leave a fingerprint by ordering underlying localized moments such as nuclear spins. This interaction has a…

Mesoscale and Nanoscale Physics · Physics 2019-12-05 H. F. Legg , Bernd Braunecker

We study the Kondo lattice Shastry-Sutherland model with additional Dzyaloshinskii-Moriya(DM) interactions, exploring the possible magnetic phases in its multi-dimensional parameter space. Treating the local moments as classical spins and…

Strongly Correlated Electrons · Physics 2017-08-23 Munir Shahzad , Pinaki Sengupta

Kitaev quantum spin liquids host Majorana fermions via the fractionalization of spins. In a magnetic field, the Majorana fermions were predicted to comprise a topological state, which has attracted great attention by the discovery of the…

Strongly Correlated Electrons · Physics 2020-04-01 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

The exchange coupling between quantum mechanical spins lies at the origin of quantum magnetism. We report on the observation of nearest-neighbor magnetic spin correlations emerging in the many-body state of a thermalized Fermi gas in an…

Quantum Gases · Physics 2013-06-28 Daniel Greif , Thomas Uehlinger , Gregor Jotzu , Leticia Tarruell , Tilman Esslinger

Scaling equations for the Kondo lattice in the paramagnetic and magnetically ordered phases are derived to two-loop order with account of spin dynamics. The results are applied to describe various mechanisms of the non-Fermi-liquid (NFL)…

Strongly Correlated Electrons · Physics 2016-06-22 V. Yu. Irkhin

Recent experiments reveal that the honeycomb ruthenium trichloride {\alpha}-RuCl3 is a prime candidate of the Kitaev quantum spin liquid (QSL). However, there is no theoretical model which can properly describe its experimental dynamical…

Strongly Correlated Electrons · Physics 2017-08-16 Y. S. Hou , H. J. Xiang , X. G. Gong

Building upon the spin-1/2 Kitaev model on a honeycomb lattice, the Yao-Lee spin-orbital model provides exactly solvable quantum spin liquids with potentially better stability against perturbations due to the additional degree of freedom.…

Strongly Correlated Electrons · Physics 2026-05-21 Jiefu Cen , Hae-Young Kee

We theoretically show that the Kitaev interaction generates a novel class of spin texture in the excitation spectrum of the antiferromagnetic insulator found in the Kitaev-Heisenberg-$\Gamma$ model. In conducting electronic systems, there…

Strongly Correlated Electrons · Physics 2019-11-07 Masataka Kawano , Chisa Hotta

Fractionalized Fermi liquids (FL$^\ast$) have been introduced as non-Fermi-liquid metallic phases, characterized by coexisting electron-like charge carriers and local moments which itself form a fractionalized spin liquid. Here we…

Strongly Correlated Electrons · Physics 2018-02-14 Urban F. P. Seifert , Tobias Meng , Matthias Vojta

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

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

We study the two-dimensional periodic Anderson model at half-filling using quantum Monte Carlo (QMC) techniques. The ground state undergoes a magnetic order-disorder transition as a function of the effective exchange coupling between the…

Condensed Matter · Physics 2009-10-22 M. Vekic , J. W. Cannon , D. J. Scalapino , R. T. Scalettar , R. L. Sugar

We consider the quasi-two-dimensional pseudo-spin-1/2 Kitaev - Heisenberg model proposed for A2IrO3 (A=Li, Na) compounds. The spin-wave excitation spectrum, the sublattice magnetization, and the transition temperatures are calculated in the…

Strongly Correlated Electrons · Physics 2016-08-24 A. A. Vladimirov , D. Ihle , N. M. Plakida

One of the key questions concerning frustrated lattices that has lately emerged is the role of disorder in inducing spin-liquid-like properties. In this context, the quantum kagome antiferromagnets YCu$_3$(OH)$_6$Cl$_3$, which has been…

Strongly Correlated Electrons · Physics 2019-07-02 A. Zorko , M. Pregelj , M. Klanjšek , M. Gomilšek , Z. Jagličić , J. S. Lord , J. A. T. Verezhak , T. Shang , W. Sun , J. -X. Mi

The Kitaev honeycomb model (KHM) consists of spin-$1/2$ particles on a honeycomb lattice with direction-dependent Ising-like interactions. It can alternatively be described in terms of non-interacting Majorana fermions, can be solved…

Strongly Correlated Electrons · Physics 2025-07-10 Alexander Sattler , Maria Daghofer

The ruby lattice is a four-valent lattice interpolating between honeycomb and triangular lattices. In this work we investigate the topological spin-liquid phases of a spin Hamiltonian with Kitaev interactions on the ruby lattice using exact…

Strongly Correlated Electrons · Physics 2016-09-28 Saeed S. Jahromi , Mehdi Kargarian , S. Farhad Masoudi , Abdollah Langari

We consider the potential for novel forms of magnetism arising from the subtle interplay between electrons and spins in the under-screened kagome Kondo lattice model. At weak coupling, we show that incommensurate non-coplanar multi-wave…

Strongly Correlated Electrons · Physics 2015-08-05 Shivam Ghosh , Patrick O' Brien , Christopher L. Henley , Michael J. Lawler

We show that networks of topological nanowires can realize the physics of exactly solvable Kitaev spin models with two-body interactions. This connection arises from the description of the low-energy theory of both systems in terms of a…

Mesoscale and Nanoscale Physics · Physics 2014-02-26 Graham Kells , Ville Lahtinen , Jiri Vala

Higher-order topological insulators are distinguished by the existence of topologically protected modes with codimension two or higher. Here, we report the manifestation of a second-order topological insulator in a two dimensional…

Strongly Correlated Electrons · Physics 2018-09-03 Vatsal Dwivedi , Ciarán Hickey , Tim Eschmann , Simon Trebst