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A number of topological phases are found to emerge in the ferromagnetic Kitaev-Heisenberg model on CaVO lattice in the presence of Dzyaloshinskii-Moriya interaction. Heisenberg and Kitaev terms have been considered on nearest and…

强关联电子 · 物理学 2021-05-05 Moumita Deb , Asim Kumar Ghosh

We show that the zero temperature phase diagram of the vortex free sector of the Kitaev model is in one to one correspondence with that of the classical dimer model on the same lattice. We find that the model generically has three distinct…

强关联电子 · 物理学 2009-04-22 Charles Nash , Denjoe O'Connor

We study the stability of nucleated topological phases that can emerge when interacting non-Abelian anyons form a regular array. The studies are carried out in the context of Kitaev's honeycomb model, where we consider three distinct types…

强关联电子 · 物理学 2014-02-20 Ville Lahtinen , Andreas W. W. Ludwig , Simon Trebst

We study the entanglement properties of a three dimensional generalization of the Kitaev honeycomb model proposed by Ryu [Phys. Rev. B 79, 075124, (2009)]. The entanglement entropy in this model separates into a contribution from a $Z_2$…

统计力学 · 物理学 2015-06-22 Ian Mondragon-Shem , Taylor L. Hughes

We introduce a spin-1/2 model in three dimensions which is a generalization of the well-known Kitaev model on a honeycomb lattice. Following Kitaev, we solve the model exactly by mapping it to a theory of non-interacting fermions in the…

介观与纳米尺度物理 · 物理学 2013-05-29 Saptarshi Mandal , Naveen Surendran

We investigate possible topological superconductivity in the Kondo-Kitaev model on the honeycomb lattice, where the Kitaev spin liquid is coupled to conduction electrons via the Kondo coupling. We use the self-consistent Abrikosov-fermion…

强关联电子 · 物理学 2021-10-11 Wonjune Choi , Philipp W. Klein , Achim Rosch , Yong Baek Kim

The interplay of frustrated interactions and lattice geometry can lead to a variety of exotic quantum phases. Here we unearth a particularly rich phase diagram of the Kitaev-Heisenberg model on the star lattice, a triangle decorated…

强关联电子 · 物理学 2024-06-11 Peru d'Ornellas , Johannes Knolle

We study topological phases of time-reversal invariant singlet superconductors in three spatial dimensions. In these particle-hole symmetric systems the topological phases are characterized by an even-numbered winding number $\nu$. At a…

介观与纳米尺度物理 · 物理学 2009-05-15 Andreas P. Schnyder , Shinsei Ryu , Andreas W. W. Ludwig

We investigate the topological phases in a coupled one-dimensional p-wave superconducting Fibonacci quasicrystal modeled by the quasiperiodic Kitaev chain. Recent studies have shown that the coupled system can host topological edge modes…

超导电性 · 物理学 2026-05-07 Koki Mizuno

We investigate the properties of the Kitaev-Kondo lattice model defined on a bilayer honeycomb lattice by means of the SO(3) Majorana representation for spin-$1/2$ moments. We first consider the pairing of neighboring sites for the parent…

强关联电子 · 物理学 2021-05-20 Vanuildo S. de Carvalho , Rafael M. P. Teixeira , Hermann Freire , Eduardo Miranda

We study a Kitaev model on a square lattice, which describes topologically trivial superconductor when gap opens, while supports topological gapless phase when gap closes. The degeneracy points are characterized by two vortices in momentum…

超导电性 · 物理学 2019-03-22 Kunliang Zhang , Peng Wang , Zhi Song

Motivated by recent experiments on $\beta-$Li$_2$IrO$_3$, we study the phase diagram of the Heisenberg-Kitaev model on a three dimensional lattice of tri-coordinated Ir$^{4+}$, dubbed the hyperhoneycomb lattice by Takagi et. al. The lattice…

强关联电子 · 物理学 2014-01-22 Eric Kin-Ho Lee , Robert Schaffer , Subhro Bhattacharjee , Yong Baek Kim

Using superconducting quantum circuits, we propose an approach to construct a Kitaev lattice, i.e., an anisotropic spin model on a honeycomb lattice with three types of nearest-neighbor interactions. We study two particular cases to…

介观与纳米尺度物理 · 物理学 2013-05-29 J. Q. You , Xiao-Feng Shi , Franco Nori

Recent studies in the realization of Majorana fermion (MF) quasiparticles have focused on engineering topological superconductivity by combining conventional superconductors and spin-textured electronic materials. We propose an effective…

介观与纳米尺度物理 · 物理学 2018-09-17 Ruizhi Pan , Charles W. Clark

We study the half-filled Hubbard model on the triangular lattice with spin-dependent Kitaev-like hopping. Using the variational cluster approach, we identify five phases: a metallic phase, a non-coplanar chiral magnetic order, a $120^\circ$…

强关联电子 · 物理学 2016-09-15 Kai Li , Shun-Li Yu , Zhao-Long Gu , Jian-Xin Li

A superconducting wire described by a p-wave pairing and a Kitaev Hamiltonian exhibits Majorana fermions at its edges and is topologically protected by symmetry. We consider two Kitaev wires (chains) coupled by a Coulomb type interaction…

强关联电子 · 物理学 2016-05-04 Loïc Herviou , Christophe Mora , Karyn Le Hur

Motivated by the InSb nanowire superconductor system, we investigate a system where one-dimensional topological superconductors are placed in parallel. It would be simulated well by a ladder of the Kitaev chains. The system undergoes…

超导电性 · 物理学 2014-05-26 Ryohei Wakatsuki , Motohiko Ezawa , Naoto Nagaosa

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

The Kitaev spin liquid model on honeycomb lattice offers an intriguing feature that encapsulates both Abelian and non-Abelian anyons. Recent studies suggest that the comprehensive phase diagram of possible generalized Kitaev model largely…

强关联电子 · 物理学 2024-02-26 Bowen Yan , Penghua Chen , Shawn X. Cui

We introduce a Hamiltonian coupling Majorana fermion degrees of freedom to a quantum dimer model. We argue that, in three dimensions, this model has deconfined quasiparticles supporting Majorana zero modes obeying nontrivial statistics. We…

强关联电子 · 物理学 2013-05-29 Michael Freedman , Matthew B. Hastings , Chetan Nayak , Xiao-Liang Qi