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Related papers: Majorana spectroscopy of 3D Kitaev spin-liquids

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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,…

Strongly Correlated Electrons · Physics 2015-06-22 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

Motivated by recent synthesis of the hyper-honeycomb material $\beta$-$\mathrm{Li_2 Ir O_3}$, we study the dynamical structure factor (DSF) of the corresponding 3D Kitaev quantum spin-liquid (QSL), whose fractionalised degrees of freedom…

Strongly Correlated Electrons · Physics 2016-01-08 A. Smith , J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

Topological states of matter present a wide variety of striking new phenomena. Prominent among these is the fractionalisation of electrons into unusual particles: Majorana fermions [1], Laughlin quasiparticles [2] or magnetic monopoles [3].…

Strongly Correlated Electrons · Physics 2014-05-26 J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

Frustrated quantum magnets can harbor unconventional spin liquid ground states in which the elementary magnetic moments fractionalize into new emergent degrees of freedom. While the fractionalization of quantum numbers is one of the…

Strongly Correlated Electrons · Physics 2016-07-12 Kevin O'Brien , Maria Hermanns , Simon Trebst

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 calculate the Raman response for the Kitaev spin model on the $\mathcal{H}$-$0$, $\mathcal{H}$-$1$, and $\mathcal{H}$-$\infty$ harmonic honeycomb lattices. We identify several quantitative features in the Raman spectrum that are…

Strongly Correlated Electrons · Physics 2015-09-30 Brent Perreault , Johannes Knolle , Natalia B. Perkins , F. J. Burnell

Magnetoelastic interaction couples spin and lattice degrees of freedom and plays a key role in thermal transport properties of magnetic insulators. In the Kitaev quantum spin liquid, the low energy excitations are charge neutral Majorana…

Strongly Correlated Electrons · Physics 2021-12-06 Haoxiang Li , A. Said , J. Q. Yan , D. M. Mandrus , H. N. Lee , S. Okamoto , Gábor B. Halász , H. Miao

Quantum matter provides an effective vacuum out of which arise emergent particles not corresponding to any experimentally detected elementary particle. Topological quantum materials in particular have become a focus of intense research in…

Three-dimensional (3D) variants of the Kitaev model can harbor gapless spin liquids with a Majorana Fermi surface on certain tricoordinated lattice structures such as the recently introduced hyperoctagon lattice. Here we investigate Fermi…

Strongly Correlated Electrons · Physics 2015-10-26 Maria Hermanns , Simon Trebst , Achim Rosch

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…

Strongly Correlated Electrons · Physics 2021-06-16 Akihisa Koga , Yuta Murakami , Joji Nasu

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 present a two-dimensional lattice model for quantum spin-1/2 for which the low-energy limit is governed by four flavors of strongly interacting Majorana fermions. We study this low-energy effective theory using two alternative…

Strongly Correlated Electrons · Physics 2017-12-19 Jyong-Hao Chen , Christopher Mudry , Claudio Chamon , A. M. Tsvelik

Quasiparticles are low-energy excitations with important roles in condensed matter physics. An intriguing example is provided by Majorana fermions, quasiparticles which are identical to their antiparticles. Despite being implicated in…

Unambiguous identification of fractionalized excitations in quantum spin liquids has been a long-standing issue in correlated topological phases. Conventional spectroscopic probes, such as the dynamical spin structure factor, can only…

Strongly Correlated Electrons · Physics 2021-10-11 Wonjune Choi , Ki Hoon Lee , Yong Baek Kim

A prominent feature of quantum spin liquids is fractionalization of the spin degree of freedom. Fractionalized excitations have their own dynamics in different energy scales, and hence, affect finite-temperature ($T$) properties in a…

Strongly Correlated Electrons · Physics 2017-08-04 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

Quantum spin liquids are highly fascinating quantum liquids in which the spin degrees of freedom fractionalize. An interesting class of spin liquids are the exactly solvable, three-dimensional Kitaev spin liquids. Their fractionalized…

Strongly Correlated Electrons · Physics 2018-06-22 Stephanie Matern , Maria Hermanns

We present the theory of dynamical spin-response for the Kitaev honeycomb model, obtaining exact results for the structure factor (SF) in gapped and gapless, Abelian and non-Abelian quantum spin-liquid (QSL) phases. We also describe the…

Strongly Correlated Electrons · Physics 2015-09-23 J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

Kitaev's model of spins interacting on a honeycomb lattice describes a quantum spin-liquid, where an emergent static $\mathbb{Z}_2$ gauge field is coupled to Majorana fermions. In the presence of an external magnetic field and for a range…

Strongly Correlated Electrons · Physics 2019-01-21 Daniel Otten , Ananda Roy , Fabian Hassler

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

We study the inelastic light scattering response in two- (2D) and three-dimensional (3D) Kitaev spin-liquid models with \ms band structures in the symmetry classes BDI and D leading to protected gapless surface modes. We present a detailed…

Strongly Correlated Electrons · Physics 2016-10-04 Brent Perreault , Johannes Knolle , Natalia B. Perkins , F. J. Burnell
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