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The recent report of a half-quantized thermal Hall effect in the Kitaev material $\alpha$-RuCl$_3$ has sparked a strong debate on whether it is generated by Majorana fermion edge currents or whether other more conventional mechanisms…

We consider the effect of coupling between phonons and a chiral Majorana edge in a gapped chiral spin liquid with Ising anyons (e.g., Kitaev's non-Abelian spin liquid on the honeycomb lattice). This is especially important in the regime in…

Strongly Correlated Electrons · Physics 2018-10-10 Mengxing Ye , Gábor B. Halász , Lucile Savary , Leon Balents

The Sachdev-Ye-Kitaev (SYK) model describes Majorana fermions with random interaction, which displays many interesting properties such as non-Fermi liquid behavior, quantum chaos, emergent conformal symmetry and holographic duality. Here we…

High Energy Physics - Theory · Physics 2017-09-13 Yiming Chen , Hui Zhai , Pengfei Zhang

The Kitaev honeycomb model hosts a fascinating fractionalized state of matter featuring emergent Majorana fermions and a vison particle that carries the flux of an emergent gauge field. In the exactly solvable model these visons are static…

Strongly Correlated Electrons · Physics 2023-01-12 Chuan Chen , Inti Sodemann Villadiego

Nonreciprocal transport, characterized by its direction-selective nature, holds significant potential for applications in various devices. In this study, we investigate nonreciprocal heat transport in Majorana systems, specifically focusing…

Strongly Correlated Electrons · Physics 2024-12-30 Yoshiki Sano , Daichi Takikawa , Masahiro O. Takahashi , Masahiko G. Yamada , Takeshi Mizushima , Satoshi Fujimoto

We study a quantum spin Kitaev model with zigzag edges to clarify the effects of anisotropy in the exchange couplings on the spin propagation. We simulate the spin and Majorana dynamics triggered by a magnetic pulse, using the real-space…

Strongly Correlated Electrons · Physics 2021-10-04 Hirokazu Taguchi , Yuta Murakami , Akihisa Koga , Joji Nasu

Kitaev quantum spin liquid is a topological magnetic quantum state characterized by Majorana fermions of fractionalized spin excitations, which are identical to their own antiparticles. Here, we demonstrate emergence of Majorana fermions…

We study the magnetic field-dependence of the thermal conductivity due to magnetic excitations in frustrated spin-1/2 Heisenberg chains. Near the saturation field, the system is described by a dilute gas of weakly-interacting fermions…

Strongly Correlated Electrons · Physics 2019-04-17 Jan Stolpp , Shang-Shun Zhang , Fabian Heidrich-Meisner , Cristian D. Batista

In this work we study the phase diagram of Kekul\'{e}-Kitaev model. The model is defined on a honeycomb lattice with bond dependent anisotropic exchange interactions making it exactly solvable in terms of Majorana representation of spins in…

Strongly Correlated Electrons · Physics 2020-03-18 Fatemeh Mirmojarabian , Mehdi Kargarian , Abdollah Langari

We study magnetic excitations and thermal Hall effect on the Kitaev-Heisenberg model under magnetic fields. By employing the spin-wave theory for the magnetic orders realized in this model, we examine the topological nature of the spin-wave…

Strongly Correlated Electrons · Physics 2024-07-10 Shinnosuke Koyama , Joji Nasu

Several candidate materials for gapless quantum spin liquids exhibit a vanishing thermal conductivity, which is at odds with theoretical predictions. Here, we show that a suppressed response can arise due to transient localization from…

Strongly Correlated Electrons · Physics 2025-09-30 Shi Feng , Penghao Zhu , Johannes Knolle , Michael Knap

We study the dynamical response of vacancy-induced quasiparticle excitations in the site-diluted Kitaev spin liquid with a magnetic field. Due to the flux-binding effect and the emergence of dangling Majorana fermions around each spin…

Strongly Correlated Electrons · Physics 2023-10-12 Wen-Han Kao , Gábor B. Halász , Natalia B. Perkins

The Floquet topological superconducting state is a nonequilibrium time-periodic state hosting Majorana fermions. We study its transport properties by using the Kitaev model with time-periodic incommensurate potentials, which experiences…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 Pei Wang , Qing-feng Sun , X. C. Xie

The Kitaev honeycomb model has attracted significant attention due to its exactly solvable spin-liquid ground state with fractionalized Majorana excitations and its possible materialization in magnetic Mott insulators with strong spin-orbit…

Strongly Correlated Electrons · Physics 2021-02-24 Wen-Han Kao , Johannes Knolle , Gábor B. Halász , Roderich Moessner , Natalia B. Perkins

The long-sought quantum spin liquid is a quantum-entangled magnetic state leading to the fractionalization of spin degrees of freedom. Quasiparticles emergent from the fractionalization affect not only the ground state properties but also…

Strongly Correlated Electrons · Physics 2017-09-06 Junki Yoshitake , Joji Nasu , Yukitoshi Motome

Kitaev physics has recently attracted attention in condensed matter for its anticipated novel quantum spin liquid state. The thermal transport measurement is crucial for probing the novel features of charge-neutral quasiparticles. In this…

The influence of substitutional disorder on the transport properties of heavy-fermion systems is investigated. We extend the dynamical mean-field theory treatment of the periodic Anderson model (PAM) to a coherent-potential approximation…

Strongly Correlated Electrons · Physics 2008-03-25 Claas Grenzebach , Frithjof B. Anders , Gerd Czycholl , Thomas Pruschke

The appearance of half-quantized thermal Hall conductivity in $\alpha$-RuCl$_3$ in the presence of in-plane magnetic fields has been taken as a strong evidence for Kitaev spin liquid. Apart from the quantization, the observed sign structure…

Strongly Correlated Electrons · Physics 2021-04-09 Li Ern Chern , Emily Z. Zhang , Yong Baek Kim

For the fractional quantum Hall states on a finite disc, we study the thermoelectric transport properties under the influence of an edge and its reconstruction. In a recent study on a torus [Phys. Rev. B 101, 241101 (2020)], Sheng and Fu…

Strongly Correlated Electrons · Physics 2021-06-30 Zi-Yi Fang , Dan Ye , Yu-Yu Zhang , Zi-Xiang Hu

We propose a closed form for the statistical distribution of non-interacting Majorana fermions at low temperature. Majorana particles often appear in the contemporary many-body literature in the Kitaev, Fu-Kane, or Sachdev-Ye-Kitaev models,…

Statistical Mechanics · Physics 2019-07-09 Joshuah T. Heath , Kevin S. Bedell