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We show that a one dimensional ultra-cold Fermi gas with Rashba-like spin orbit coupling, a Zeeman field and intrinsic attractive interactions exhibits a novel topological superfluid state, which forms in spite of total number conservation…

Quantum Gases · Physics 2015-04-09 Jonathan Ruhman , Ehud Altman

We study the effects of static magnetic and electric fields on Kitaev's honeycomb model. Using the electric polarization operator appropriate for Kitaev materials, we derive the effective Hamiltonian for the emergent Majorana fermions to…

Strongly Correlated Electrons · Physics 2021-05-05 Rajas Chari , Roderich Moessner , Jeffrey G. Rau

Spin vacancies in the non-Abelian Kitaev spin liquid are known to harbor Majorana zero modes, potentially enabling topological quantum computing at elevated temperatures. Here, we study the spectroscopic signatures of such Majorana zero…

Strongly Correlated Electrons · Physics 2023-07-21 Wen-Han Kao , Natalia B. Perkins , Gábor B. Halász

We formulate a Majorana mean-field theory for the extended $JK\Gamma$ Kitaev model in a magnetic Zeeman field of arbitrary direction, and apply it for studying spatially inhomogeneous states harboring vortices. This mean-field theory is…

Strongly Correlated Electrons · Physics 2024-04-02 Lucas R. D. Freitas , Tim Bauer , Reinhold Egger , Rodrigo G. Pereira

We investigate dissipation-induced p-wave paired states of fermions in two dimensions and show the existence of spatially separated Majorana zero modes in a phase with vanishing Chern number. We construct an explicit and natural model of a…

Quantum Gases · Physics 2013-03-07 C. -E. Bardyn , M. A. Baranov , E. Rico , A. Imamoglu , P. Zoller , S. Diehl

We propose a planar tunneling setup to probe vacancy-bound Majorana modes in the chiral Kitaev spin liquid. In this geometry, the inelastic tunneling conductance can be expressed directly in terms of real-space spin correlations,…

Strongly Correlated Electrons · Physics 2026-02-17 Weiyao Li , Vitor Dantas , Wen-Han Kao , Natalia B. Perkins

We study theoretically the Raman scattering response $I(\omega)$ in the gapless quantum spin liquid phase of the Kitaev-Heisenberg model. The dominant polarization-independent contribution $I_K (\omega)$ reflects the density of states of…

Strongly Correlated Electrons · Physics 2014-11-03 J. Knolle , Gia-Wei Chern , D. L. Kovrizhin , R. Moessner , N. B. Perkins

Recent numerical studies indicate that the antiferromagnetic Kitaev honeycomb lattice model undergoes a magnetic-field-induced quantum phase transition into a new spin-liquid phase. This intermediate-field phase has been previously…

Strongly Correlated Electrons · Physics 2022-03-02 Shang-Shun Zhang , Gábor B. Halász , Cristian D. Batista

Motivated by the recent experimental observation of the half-quantized thermal Hall conductivity for the candidate material of the Kitaev spin liquid, $\alpha$-RuCl$_3$[ Y. Kasahara et al., Nature 559, 227 (2018)], we investigate effects of…

Strongly Correlated Electrons · Physics 2019-06-12 Daichi Takikawa , Satoshi Fujimoto

The Kitaev quantum spin liquid possesses two fractional quasiparticles, itinerant Majorana fermions and localized visons. It provides a promising platform for realizing a Majorana zero mode trapped by a vison excitation. This local mode…

Strongly Correlated Electrons · Physics 2023-12-22 Chihiro Harada , Atsushi Ono , Joji Nasu

We design a lattice model of a "mixed" U(1) gauge field coupled to fermions with a flavor chemical potential and solve it with large-scale determinant quantum Monte Carlo simulations, For zero flavor chemical potential, the model realizes…

Strongly Correlated Electrons · Physics 2026-05-15 Chuang Chen , Urban F. P. Seifert , Kexin Feng , Oleg A. Starykh , Leon Balents , Zi Yang Meng

We theoretically study laser driven nonequilibrium states in the Kitaev honeycomb model with a magnetoelectric cross coupling. We show that a topological spin liquid with a gapless chiral edge mode emerges when we apply an elliptically or…

Strongly Correlated Electrons · Physics 2014-04-09 Masahiro Sato , Yuki Sasaki , Takashi Oka

The Kitaev spin liquid, stabilized as the ground state of the Kitaev honeycomb model, is a paradigmatic example of a topological $\mathbb{Z}_2$ quantum spin liquid. The fate of the Kitaev spin liquid in presence of an external magnetic…

Strongly Correlated Electrons · Physics 2026-05-04 Will Holdhusen , Daniel Huerga , Gerardo Ortiz

Recent experimental evidence for a field-induced quantum spin liquid (QSL) in $\alpha$-RuCl$_3$ calls for an understanding for the ground state of honeycomb Kitaev model under a magnetic field. In this work we address the nature of an…

Strongly Correlated Electrons · Physics 2018-10-04 Hong-Chen Jiang , Chang-Yan Wang , Biao Huang , Yuan-Ming Lu

We propose a scenario of realizing the toric code phase, which can be potentially utilized for fault-tolerant quantum computation, in candidate materials of Kitaev magnets. It is demonstrated that four-body interactions among Majorana…

Strongly Correlated Electrons · Physics 2021-06-16 Masahiro O. Takahashi , Masahiko G. Yamada , Daichi Takikawa , Takeshi Mizushima , Satoshi Fujimoto

We show that in double-chain Mott insulators (ladders), disordered alternating ionic potentials may locally destroy coherence of magnetic excitations and lead to the appearance of spontaneously dimerized islands inside the Haldane…

Strongly Correlated Electrons · Physics 2015-05-28 A. A. Nersesyan , A. M. Tsvelik

We unveil an interesting example of topological flat bands of Majorana fermions in quantum spin liquids. We study the Kitaev model on a periodically depleted honeycomb lattice, under a magnetic field within the perturbation theory. The…

Strongly Correlated Electrons · Physics 2025-10-10 Kiyu Fukui , Yukitoshi Motome

The possible existence of a quantum spin liquid (QSL) phase, an exotic state of matter with long-range quantum entanglement and fractionalized excitations, in $\alpha$-RuCl$_3$ has sparked widespread interests in exploring QSLs in various…

Strongly Correlated Electrons · Physics 2023-04-04 Shun-Yao Yu , Han Li , Qi-Rong Zhao , Yuan Gao , Xiao-Yu Dong , Zheng-Xin Liu , Wei Li , Shou-Shu Gong

Motivated by recent experiments in the Kitaev honeycomb lattice, Kondo insulators, and the "Luttinger's theorem-violating" Fermi liquid phase of the underdoped cuprates, we extend the theoretical machinery of Landau-Fermi liquid theory to a…

Strongly Correlated Electrons · Physics 2020-09-18 Joshuah T. Heath , Kevin S. Bedell

The one-dimensional $p$-wave superconductor, characterized by boundary Majorana modes, has attracted significant interest owing to its potential application in topological quantum computation. Similarly, spin-1/2 Kitaev ladder systems with…

Strongly Correlated Electrons · Physics 2024-11-19 Haoting Xu , Hae-Young Kee