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Kitaev's compass model on the honeycomb lattice realizes a spin liquid whose emergent excitations are dispersive Majorana fermions and static Z_2 gauge fluxes. We discuss the proper selection of physical states for finite-size simulations…

强关联电子 · 物理学 2015-07-08 Fabian Zschocke , Matthias Vojta

We study the effects of the flux configurations on the emergent Majorana fermions in the $S=1/2$ Kitaev model on a honeycomb lattice, where quantum spins are fractionalized into itinerant Majorana fermions and localized fluxes. A quantum…

强关联电子 · 物理学 2021-06-16 Akihisa Koga , Yuta Murakami , Joji Nasu

Despite extensive investigations, a topological state that hosts Majorana edge modes in the magnetic field-induced quantum disordered state of the Kitaev candidate material $\alpha$-RuCl$_3$ has been hotly debated. To gain more insight into…

强关联电子 · 物理学 2022-08-31 Y. Kasahara , S. Suetsugu , T. Asaba , S. Kasahara , T. Shibauchi , N. Kurita , H. Tanaka , Y. Matsuda

We examine the thermalisation/localization trade off in an interacting and disordered Kitaev model, specifically addressing whether signatures of many-body localization can coexist with the systems topological phase. Using methods…

强关联电子 · 物理学 2020-08-19 Stephen Nulty , Jiri Vala , Dganit Meidan , Graham Kells

We present the theoretical results for the Majorana band structure and thermal transport properties in the Kitaev honeycomb model under a staggered magnetic field in addition to a uniform one. The Majorana band structure is asymmetrically…

强关联电子 · 物理学 2022-05-13 Kazuki Nakazawa , Yasuyuki Kato , Yukitoshi Motome

There has been great interest in identifying a Kitaev quantum spin liquid state in frustrated magnets with bond-dependent interactions. In particular, the experimental report of a half-quantized thermal Hall conductivity in…

强关联电子 · 物理学 2025-12-11 Emily Z. Zhang , Reja H. Wilke , Yong Baek Kim

In the Kitaev honeycomb model, the quantum spin fractionalizes into itinerant Majorana and gauge flux spontaneously upon cooling, leading to rich experimental ramifications at finite temperature and an upsurge of research interest. In this…

强关联电子 · 物理学 2020-10-07 Han Li , Dai-Wei Qu , Hao-Kai Zhang , Yi-Zhen Jia , Shou-Shu Gong , Yang Qi , Wei Li

The material $\alpha$-RuCl$_3$ has been the subject of intense scrutiny as a potential Kitaev quantum spin liquid, predicted to display Majorana fermions as low energy excitations. In practice, $\alpha$-RuCl$_3$ undergoes a transition to a…

We have studied the longitudinal thermal conductivity of the surface of a three-dimensional time-reversal symmetric topological superconductor with random disorder. Majorana fermions on the surface of topological superconductors have a…

超导电性 · 物理学 2014-03-05 Ryota Nakai , Kentaro Nomura

Here we revisit the thermodynamics of the Kitaev quantum spin liquid realized on the honeycomb lattice. We address two main questions: First, we investigate whether there are observable thermodynamic signatures of the topological Majorana…

强关联电子 · 物理学 2021-02-05 Kexin Feng , Natalia B. Perkins , F. J. Burnell

Here we present a study of the phonon dynamics in the honeycomb Kitaev spin model at finite temperatures. We show that the fractionalized spin excitations of the Kitaev spin liquid, the itinerant Majorana fermions and static $Z_2$ fluxes,…

强关联电子 · 物理学 2021-08-24 Kexin Feng , Mengxing Ye , Natalia B. Perkins

The quantum Hall effect (QHE) in two-dimensional (2D) electron gases, which is one of the most striking phenomena in condensed matter physics, involves the topologically protected dissipationless charge current flow along the edges of the…

A Majorana fermion is a fermionic particle that is its own antiparticle. Since the theoretical discovery in 1937, the exotic particle has long been searched in particle physics. In the last few decades, however, it has attracted renewed…

强关联电子 · 物理学 2019-12-23 Yukitoshi Motome , Joji Nasu

The Kitaev model, renowned for its exact solvability and potential to host non-Abelian anyons, remains a focal point in the study of quantum spin liquids and topological phases. While much of the existing literature has employed Majorana…

强关联电子 · 物理学 2025-02-12 Hibiki Takegami , Takao Morinari

A three-dimensional Kitaev model on a hyperhoneycomb lattice is investigated numerically at finite temperature. The Kitaev model is one of the solvable quantum spin models, where the ground state is given by gapped and gapless spin liquids,…

强关联电子 · 物理学 2015-06-22 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

Majorana fermions as emergent excitations of the Kitaev quantum spin liquid ground state constitute a promising concept in fault tolerant quantum computation. Experimentally, the recently reported topological half-quantized thermal Hall…

We study electrical, thermal and thermoelectric transport in a hybrid device consisting of a long-range Kitaev chain coupled to two metallic leads at two ends. Electrical and thermal currents are calculated in this device under both voltage…

介观与纳米尺度物理 · 物理学 2025-05-23 Averi Banerjee , Syeda Rafisa Rahaman , Nilanjan Bondyopadhaya

Motivated by the thermal transport problem in the Kitaev spin liquids, we consider a nearest-neighbor tight-binding model on the honeycomb lattice in the presence of random uncorrelated $\pi$-fluxes. We employ different numerical methods to…

介观与纳米尺度物理 · 物理学 2023-10-25 Zekun Zhuang

We investigate the effect of a magnetic field on the Kitaev model using the equation of motion approach for the spin Green's function, considering both the case of suppressed magnetization ($m = 0$) and finite magnetization ($m \neq 0$).…

强关联电子 · 物理学 2025-08-05 Takao Morinari , Hibiki Takegami

Thermal transport in topologically-ordered phases of matter provides valuable insights as it can detect the charge-neutral quasiparticles that would not directly couple to electromagnetic probes. An important example is edge heat transport…

强关联电子 · 物理学 2023-01-26 Emily Z. Zhang , Li Ern Chern , Yong Baek Kim