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The quest to identify and observe Majorana fermions in physics and condensed-matter systems remains an important challenge. Here, we introduce a qubit (spin-$1/2$) from the occurrence of two delocalized zero-energy Majorana fermions in a…

Mesoscale and Nanoscale Physics · Physics 2024-06-04 Ephraim Bernhardt , Brian Chung Hang Cheung , Karyn Le Hur

Majorana fermions are promising candidates for storing and processing information in topological quantum computation. The ability to control such individual information carriers in trapped ultracold atomic Fermi gases is a novel theme in…

Quantum Gases · Physics 2013-01-21 Xia-Ji Liu , P. D. Drummond

When interacting spins in condensed matter order ferromagnetically, their ground state wave function is topologically trivial. Nonetheless, in two dimensions, the ferromagnetic state can support spin excitations with nontrivial topology, an…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Alexander Mook , Sebastián A. Díaz , Jelena Klinovaja , Daniel Loss

Electron fractionalization is intimately related to topology. In one-dimensional systems, fractionally charged states exist at domain walls between degenerate vacua. In two-dimensional systems, fractionalization exists in quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Chang-Yu Hou , Claudio Chamon , Christopher Mudry

Continuum of spin excitations observed in inelastic neutron scattering experiments are often considered as a strong evidence of quantum spin liquid formation. When quantum spin liquid is indeed the ground state of a disorder-free magnetic…

Strongly Correlated Electrons · Physics 2025-04-15 Jieming Sheng , Le Wang , Wenrui Jiang , Han Ge , Nan Zhao , Tiantian Li , Maiko Kofu , Dehong Yu , Wei Zhu , Jia-Wei Mei , Zhentao Wang , Liusuo Wu

The exactly-solvable Kitaev model of two-dimensional honeycomb magnet leads to a quantum spin liquid (QSL) characterized by Majorana fermions, relevant for fault-tolerant topological quantum computations. In the high-field paramagnetic…

Strongly Correlated Electrons · Physics 2022-09-13 O. Tanaka , Y. Mizukami , R. Harasawa , K. Hashimoto , K. Hwang , N. Kurita , H. Tanaka , S. Fujimoto , Y. Matsuda , E. -G. Moon , T. Shibauchi

Majorana bound states are interesting candidates for applications in topological quantum computation. Low energy models allowing to grasp their properties are hence conceptually important. The usual scenario in these models is that two…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 N. Traverso Ziani , C. Fleckenstein , L. Vigliotti , B. Trauzettel , M. Sassetti

This article is an introductory review of the physics of quantum spin liquid (QSL) states. Quantum magnetism is a rapidly evolving field, and recent developments reveal that the ground states and low-energy physics of frustrated spin…

Strongly Correlated Electrons · Physics 2017-04-21 Yi Zhou , Kazushi Kanoda , Tai-Kai Ng

The search for new elementary particles is one of the most basic pursuits in physics, spanning from subatomic physics to quantum materials. Magnons are the ubiquitous elementary quasiparticle to describe the excitations of fully-ordered…

Strongly Correlated Electrons · Physics 2023-08-01 Xiaojian Bai , Shang-Shun Zhang , Hao Zhang , Zhiling Dun , W. Adam Phelan , V. Ovidiu Garlea , Martin Mourigal , Cristian D. Batista

Majorana fermions have recently garnered a great attention outside the field of particle physics, in condensed matter physics. In contrast to their particle physics counterparts, Majorana fermions are zero energy, chargeless, spinless,…

Superconductivity · Physics 2019-09-25 Rémy Pawlak , Silas Hoffman , Jelena Klinovaja , Daniel Loss , Ernst Meyer

The quasi two-dimensional Mott insulator $\alpha$-RuCl$_3$ is proximate to the sought-after Kitaev quantum spin liquid (QSL). In a layer of $\alpha$-RuCl$_3$ on graphene the dominant Kitaev exchange is further enhanced by strain. Recently,…

Strongly Correlated Electrons · Physics 2021-03-24 V. Leeb , K. Polyudov , S. Mashhadi , S. Biswas , Roser Valenti , M. Burghard , J. Knolle

We investigate experimentally an exotic state of electronic matter obtained by fine-tuning to a quantum critical point (QCP), realized in a spin-polarized resonant level coupled to strongly dissipative electrodes. Several transport scaling…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 H. T. Mebrahtu , I. V. Borzenets , H. Zheng , Y. V. Bomze , A. I. Smirnov , S. Florens , H. U. Baranger , G. Finkelstein

Kinetic properties of a two dimensional model of fermions interacting with antiferromagnetic spin excitations near the quantum critical point (QCP) are considered. The temperature or doping are assumed to be sufficiently high, such that the…

Strongly Correlated Electrons · Physics 2015-06-22 K. B. Efetov

We present the results of a muon-spin relaxation (muSR) investigation into magnetic ordering in several families of layered quasi-two-dimensional molecular antiferromagnets based on transition metal ions such as S=1/2 Cu2+ bridged with…

Spin-Fermion systems which obtain their magnetic properties from a system of localized magnetic moments being coupled to conducting electrons are considered. The dynamical degrees of freedom are spin-$s$ operators of localized spins and…

Strongly Correlated Electrons · Physics 2015-05-19 N. Karchev

After the recognition of the possibility to implement Majorana fermions using the building blocks of solid-state matters, the detection of this peculiar particle has been an intense focus of research. Here we experimentally demonstrate a…

Thermal signatures of fractionalized excitations are a fingerprint of quantum spin liquids (QSLs). In the $J_{eff}=1/2$ honeycomb magnet $\alpha$-RuCl$_3$, a QSL state emerges upon applying an in-plane magnetic field $H_{||}$ greater than…

Strongly Correlated Electrons · Physics 2022-06-01 J. A. N. Bruin , R. R. Claus , Y. Matsumoto , N. Kurita , H. Tanaka , H. Takagi

Through Haldane's construction, the fractional quantum Hall states on a two-sphere was shown to be the ground states of {\it one-dimensional} SU(2) spin Hamiltonians. In this Letter we generalize this construction to obtain a new class of…

Strongly Correlated Electrons · Physics 2011-11-14 Chyh-Hong Chern , Dung-Hai Lee

Quantum spin liquids (QSLs) are highly entangled ground states of insulating spin systems, in which magnetic ordering is prevented down to the lowest temperatures due to quantum fluctuations. One of the most extraordinary characteristics of…

Strongly Correlated Electrons · Physics 2024-01-22 So Takei , Yaroslav Tserkovnyak

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
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