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We study the zero energy modes that arise in an unusual vortex configuration involving both the kinetic energy and an appropriate mass term in a model which exhibits birefringent Dirac fermions as its low energy excitations. We find the…

Strongly Correlated Electrons · Physics 2018-12-13 Bitan Roy , Peter M. Smith , Malcolm P. Kennett

New emergent states of matter in quantum systems may be created under non-equilibrium conditions if - through many body interactions - its constituents order on a timescale which is shorter than the time required for the system to reach…

Strongly Correlated Electrons · Physics 2021-02-15 Yaroslav Gerasimenko , Igor Vaskivskyi , Jan Ravnik , Jaka Vodeb , Viktor V. Kabanov , Dragan Mihailovic

Majorana fermion (MF) whose antiparticle is itself has been predicted in condensed matter systems. Signatures of the MFs have been reported as zero energy modes in various systems. More definitive evidences are highly desired to verify the…

Abrikosov vortices in Fe-based superconductors are a promising platform for hosting Majorana zero modes. Their adiabatic exchange is a key ingredient for Majorana-based quantum computing. However, the adiabatic braiding process can not be…

Superconductivity · Physics 2020-05-27 Thore Posske , Ching-Kai Chiu , Michael Thorwart

The 1937 theoretical discovery of Majorana fermions--whose defining property is that they are their own anti-particles--has since impacted diverse problems ranging from neutrino physics and dark matter searches to the fractional quantum…

Superconductivity · Physics 2015-06-04 Jason Alicea

The search for Majorana fermions in p-wave paired fermionic systems has recently moved to the forefront of condensed-matter research. Here we propose an alternative route and show theoretically that Majorana-like modes can be realized and…

Quantum Gases · Physics 2013-03-07 C. -E. Bardyn , A. Imamoglu

We propose an experimental scheme to simulate the transverse field Ising model with cold atoms trapped in one-dimensional optical lattice. Majorana fermions are created at the ends of the optical lattice segment in topological phase. By…

Majorana fermions are predicted to localize at the edge of a topological superconductor, a state of matter that can form when a ferromagnetic system is placed in proximity to a conventional superconductor with strong spin-orbit interaction.…

Mesoscale and Nanoscale Physics · Physics 2014-10-06 Stevan Nadj-Perge , Ilya K. Drozdov , Jian Li , Hua Chen , Sangjun Jeon , Jungpil Seo , Allan H. MacDonald , B. Andrei Bernevig , Ali Yazdani

Majorana zero modes (MZMs) obey non-Abelian statistics and are considered building blocks for constructing topological qubits. Iron-based superconductors with topological band structures have emerged as promising hosting materials, since…

Majorana fermions are the real (in a mathematical sense) counterparts of complex fermions like ordinary electrons. The promise of topological quantum computing has lead to substantial experimental progress in realizing these particles in…

Strongly Correlated Electrons · Physics 2019-08-06 Armin Rahmani , Marcel Franz

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

The modulation of an optical lattice potential that breaks time-reversal symmetry enables the realization of complex tunneling amplitudes in the corresponding tight-binding model. For a superfluid Fermi gas in a triangular lattice potential…

Quantum Gases · Physics 2012-05-15 Krzysztof Sacha , Katarzyna Targonska , Jakub Zakrzewski

Majorana modes and fractional fermions are two types of edge zero modes appearing separately in topological superconductors and dimerized chains. Here we reveal how to harvest both types of edge modes simultaneously in an exotic chain. Such…

Strongly Correlated Electrons · Physics 2016-02-04 Dan-bo Zhang , Qiang-Hua Wang , Z. D. Wang

Two-dimensional time-reversal-invariant topological superconductors host helical Majorana fermions at their boundary. We study the fate of these edge states under the combined influence of strong interactions and disorder, using the…

Strongly Correlated Electrons · Physics 2023-08-09 Jun Ho Son , Jason Alicea , Olexei I. Motrunich

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

A physical model for a mixed-valence impurity in a metal must satisfy the Friedel screening theorem for both valences. Such a model is shown, following earlier work which showed low energy singularities in it, to be supersymmetric, leading…

Strongly Correlated Electrons · Physics 2020-11-04 C. M. Varma

We construct a supersymmetric model of interacting Majorana fermions on the kagome lattice. In the infinite-coupling limit, the model exhibits an extensively degenerate ground state manifold separated in two topological sectors, in addition…

Strongly Correlated Electrons · Physics 2019-12-02 Chengshu Li , Étienne Lantagne-Hurtubise , Marcel Franz

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

We examine theoretically the visualization of Majorana fermions in a two-dimensional trapped ultracold atomic Fermi gas with spin-orbit coupling. By increasing an external Zeeman field, the trapped gas transits from non-topological to…

Quantum Gases · Physics 2012-02-24 Xia-Ji Liu , Lei Jiang , Han Pu , Hui Hu

A time-reversal invariant topological superconductivity is suggested to be realized in a quasi-one dimensional structure on a plane, which is fabricated by filling the superconducting materials into the periodic channel of dielectric…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 E. Nakhmedov , S. Mammadova , O. Alekperov