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Majorana zero-modes in a superconductor are midgap states localized in the core of a vortex or bound to the end of a nanowire. They are anyons with non-Abelian braiding statistics, but when they are immobile one cannot demonstrate this by…

超导电性 · 物理学 2019-04-17 C. W. J. Beenakker , P. Baireuther , Y. Herasymenko , I. Adagideli , Lin Wang , A. R. Akhmerov

The possible stable singular vortex (SV) and half-quantum vortex (HQV) of the superfluid $^3$He-A phase confined in restricted geometries are investigated. The associated low-energy excitations are calculated in connection with the possible…

超导电性 · 物理学 2015-05-20 Takuto Kawakami , Takeshi Mizushima , Kazushige Machida

Engineering chiral $p$-wave superconductivity in semiconductor structures offers fascinating ways to obtain and study Majorana modes in a condensed matter context. Here, we theoretically investigate chiral $p$-wave superconductivity in…

介观与纳米尺度物理 · 物理学 2015-04-15 Benedikt Scharf , Igor Žutić

The visualization of chiral p-wave superfluidity in Fermi gases near p-wave Feshbach resonances is theoretically examined. It is proposed that the superfluidity becomes detectable in the entire BCS-BEC regimes through (i) vortex…

超导电性 · 物理学 2009-11-13 T. Mizushima , M. Ichioka , K. Machida

We discuss fermionic zero modes in the two-dimensional chiral p-wave superconductors. We show quite generally, that without fine-tuning, in a macroscopic sample there is only one or zero of such Majorana-fermion modes depending only on…

超导电性 · 物理学 2007-07-03 V. Gurarie , L. Radzihovsky

The topological characteristics of the $p$-wave Kitaev chains on a square lattice with nearest-neighbor and next-nearest-neighbor inter-chains hopping and pairing are investigated. Besides gapless exact zero-energy modes, this model…

其他凝聚态物理 · 物理学 2024-10-08 S. Srinidhi , Aayushi Agrawal , Jayendra N. Bandyopadhyay

We investigate a number of fermionic condensate phases on the honeycomb lattice, to determine whether topological defects (vortices and edges) in these phases can support bound states with zero energy. We argue that topological zero modes…

超导电性 · 物理学 2009-06-08 Doron L. Bergman , Karyn Le Hur

We study the temperature (T) dependence of the dynamical structure factor of the chiral spin liquid phase of Kitaev's honeycomb model. We find, using a recently developed analytical approach, direct signatures of the Majorana modes…

强关联电子 · 物理学 2019-12-04 Masafumi Udagawa , Roderich Moessner

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…

强关联电子 · 物理学 2014-04-09 Masahiro Sato , Yuki Sasaki , Takashi Oka

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…

量子气体 · 物理学 2013-03-07 C. -E. Bardyn , M. A. Baranov , E. Rico , A. Imamoglu , P. Zoller , S. Diehl

We study a frustrated two-dimensional lattice spin model with Kitaev type interaction. The lattice is obtained from the honeycomb lattice by replacing half of its sites with triangles. Using the SO(3) Majorana representation of spin, the…

强关联电子 · 物理学 2019-12-03 Jianlong Fu

We study the possibility to realize Majorana zero mode that's robust and may be easily manipulated for braiding in quantum computing in the ground state of the Kitaev model in this work. To achieve this we first apply a uniform [111]…

强关联电子 · 物理学 2021-12-13 Lu Yang , Jia-Xing Zhang , Shuang Liang , Wei Chen , Qiang-Hua Wang

In the present study topologically nontrivial edge and vortex bound states are described in the coexistence phase of chiral spin-singlet superconductivity and noncollinear spin ordering on a triangular lattice in the presence of few (up to…

超导电性 · 物理学 2023-04-27 A. O. Zlotnikov

We show that the existence of a pair of zero-energy modes bound to a vortex carrying a pi-flux is a generic feature of the topologically non-trivial phase of the M-B model, which was introduced to describe the topological band insulator in…

介观与纳米尺度物理 · 物理学 2013-01-21 Andrej Mesaros , Robert-Jan Slager , Jan Zaanen , Vladimir Juricic

We analyze the zero-energy sector of the trigonal zigzag nanodisk and corner based on the Dirac theory of graphene. The zero-energy states are shown to be indexed by the edge momentum and grouped according to the irreducible representation…

介观与纳米尺度物理 · 物理学 2010-05-19 Motohiko Ezawa

We study a single vortex in a two-dimensional $p+ip$ Fermi superfluid interacting with a Bose-Einstein condensate. The Fermi superfluid is topologically non-trivial and hosts a zero-energy Majorana bound state at the vortex core. Assuming a…

量子气体 · 物理学 2018-12-05 Jing-Bo Wang , Wei Yi , Jian-Song Pan

Zero-energy solutions of the Dirac equation for the fermions bound to giant vortices of large winding number $n$ are studied in the abelian Higgs and Chern-Simons Higgs models. The case of Jackiw-Rossi theory of the Majorana states in…

高能物理 - 理论 · 物理学 2023-06-28 Logan Gates , Alexander A. Penin

Majorana fermions in a superconductor hybrid system are charge neutral zero-energy states. For the detection of this unique feature, we propose an interferometry of a chiral Majorana edge channel, formed along the interface between a…

介观与纳米尺度物理 · 物理学 2015-06-16 Sunghun Park , Joel E. Moore , H. -S. Sim

We show that periodic lattice of Abrikosov vortices in chiral $p$ wave superconductor in general supports fermionic states with zero energy provided the intervortex distance is smaller than the critical one. The zero modes appear at the…

超导电性 · 物理学 2014-09-16 M. A. Silaev

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…

强关联电子 · 物理学 2019-01-21 Daniel Otten , Ananda Roy , Fabian Hassler
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