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Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers [1]. They are expected to exhibit non-Abelian particle statistics, in contrast to…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 S. M. Albrecht , A. P. Higginbotham , M. Madsen , F. Kuemmeth , T. S. Jespersen , J. Nygård , P. Krogstrup , C. M. Marcus

Lattice models with supersymmetry are known to exhibit a variety of remarkable properties that do not exist in the relativistic models. In this paper, we introduce an interacting generalization of the Kitaev chain of Majorana fermions with…

Strongly Correlated Electrons · Physics 2023-10-31 Urei Miura , Kenji Shimomura , Keisuke Totsuka

The fermionic and bosonic zero modes of the 1D interacting Kitaev chain at the symmetric point are unveiled. The many-body structures of the Majorana zero modes in the topological region are given explicitly by carrying out perturbation…

Strongly Correlated Electrons · Physics 2021-02-11 Yiming Wang , Zhidan Li , Qiang Han

We study Kitaev model in one-dimension with open boundary condition by using exact analytic methods for non-interacting system at zero chemical potential as well as in the symmetric case of {\Delta} = t, and by using…

Strongly Correlated Electrons · Physics 2018-03-15 Jian-Jian Miao , Hui-Ke Jin , Fu-Chun Zhang , Yi Zhou

Based on the many-particle-number-state treatment for transport through a pair of Majorana zero modes (MZMs) which are coupled to the leads via two quantum dots, we identify that the reason for zero cross correlation of currents at…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Wei Feng , Lupei Qin , Xin-Qi Li

We study the combined effects of spin-orbit interaction, magnetic field, and Coulomb charging on the Josephson current-phase relation, I(\varphi), for a multi-level quantum dot tunnel-contacted by two conventional s-wave superconductors…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 A. Brunetti , A. Zazunov , A. Kundu , R. Egger

Artificial Kitaev chains have emerged as a promising platform for realizing topological quantum computing. Once the chains are formed and the Majorana zero modes are braided/fused, reading out the parity of the chains is essential for…

Kondo conduction has been observed in a quantum dot with an even number of electrons at the Triplet-Singlet degeneracy point produced by applying a small magnetic field $B$ orthogonal to the dot plane. At a much larger field $ B \sim B_*$,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. Giuliano , B. Jouault , A. Tagliacozzo

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

Many recipes for realizing topological superconductivity rely on broken time-reversal symmetry, which is often attained by applying a substantial external magnetic field. Alternatively, using magnetic materials can offer advantages through…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Y. Jiang , M. Gupta , C. Riggert , M. Pendharkar , C. Dempsey , J. S. Lee , S. D. Harrington , C. J. Palmstrøm , V. S. Pribiag , S. M. Frolov

We numerically study the quantum phase transitions and the stability of Majorana zero modes in a generalized Kitaev model in one dimension when the chemical potential is periodically modulating in space. By using the exact diagonalization…

Statistical Mechanics · Physics 2016-06-17 Takumi Ohta , Keisuke Totsuka

We investigate the topological properties of spin polarized fermionic polar molecules loaded in a multi-layer structure with the electric dipole moment polarized to the normal direction. When polar molecules are paired by attractive…

Quantum Gases · Physics 2019-05-01 Ching-Yu Huang , Yen-Ting Lin , Hao Lee , Daw-Wei Wang

In this paper, we study a set-up in which quantum dot is tunnel-coupled to Majorana-Kramers pair(MKP) which are the edge modes of time reversal invariant topological superconductor (TRITOPS), which is an experimental realization of time…

Strongly Correlated Electrons · Physics 2021-01-01 Rukhsan Ul Haq , Keshav Singh

Kitaev chain is a theoretical model of a one-dimensional topological superconductor with Majorana zero modes at the two ends of the chain. With the goal of emulating this model, we build a chain of three quantum dots in a semiconductor…

Mesoscale and Nanoscale Physics · Physics 2021-09-02 Hao Wu , Po Zhang , John P. T. Stenger , Zhaoen Su , Jun Chen , Ghada Badawy , Sasa Gazibegovic , Erik P. A. M. Bakkers , Sergey M. Frolov

Poor man's Majoranas (PMMs) hold the promise to engineer Majorana bound states in a highly tunable setup consisting of a chain of quantum dots that are connected via superconductors. Due to recent progress in controlling the amplitudes of…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 Melina Luethi , Henry F. Legg , Daniel Loss , Jelena Klinovaja

A generic semiclassical superconducting nanostructure connected to multiple superconducting terminals hosts a quasi-continuous spectrum of Andreev states. The spectrum is sensitive to the superconducting phases of the terminals. It can be…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Janis Erdmanis , Arpad Lukacs , Yuli Nazarov

Topological phases of matter are among the most intriguing research directions in Condensed Matter Physics. It is known that superconductivity induced on a topological insulator's surface can lead to exotic Majorana modes, the main…

Strongly Correlated Electrons · Physics 2021-05-20 J. Herbrych , M. Środa , G. Alvarez , M. Mierzejewski , E. Dagotto

The signatures of Majorana zero-energy mode leaking into a spin-charge entangled double quantum dot are investigated theoretically in the strong electron correlation regime. The considered setup consists of two capacitively coupled quantum…

Mesoscale and Nanoscale Physics · Physics 2021-10-05 Piotr Majek , Ireneusz Weymann

The "Poor Man's Majoranas" (PMMs) [Phys. Rev. B 86, 134528 (2012)] devoid of topological protection can "spill over" from one edge into another of the minimal Kitaev chain when perturbed electrostatically. As aftermath, this leads to a…

Mesoscale and Nanoscale Physics · Physics 2025-04-30 J. E. Sanches , L. T. Lustosa , L. S. Ricco , H. Sigurðsson , M. de Souza , M. S. Figueira , E. Marinho , A. C. Seridonio

We consider clean cylindrical nanostructures with an applied longitudinal static magnetic field. Without Coulomb interaction, the field induces, for particular values, points of degeneracy where a change of ground state takes place due to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Pleutin
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