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We present a unified study of the effect of periodic, quasiperiodic and disordered potentials on topological phases that are characterized by Majorana end modes in 1D p-wave superconducting systems. We define a topological invariant derived…

强关联电子 · 物理学 2013-08-09 Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

We introduce a one-dimensional non-Hermitian Kitaev chain with staggered imbalance in the $p$-wave superconducting pairing. By tuning the chemical potential and the pairing imbalance, we find that the eigenenergy spectrum undergoes…

介观与纳米尺度物理 · 物理学 2026-05-19 Xiao-Jue Zhang , Rong Lü , Qi-Bo Zeng

We study the combined effects of disorder and range of the couplings on the phase diagram of one-dimensional topological superconductors. We consider an extended version of the Kitaev chain where hopping and pairing terms couple many sites.…

强关联电子 · 物理学 2023-04-28 Gianluca Francica , Edoardo Maria Tiburzi , Luca Dell'Anna

The easily accessible experimental signatures of Majorana modes are ambiguous and only probe topology indirectly: for example, quasi-Majorana states mimic most properties of Majoranas. Establishing a correspondence between an experiment and…

介观与纳米尺度物理 · 物理学 2025-07-09 Isidora Araya Day , Antonio L. R. Manesco , Michael Wimmer , Anton R. Akhmerov

Motivated by a recent breakthrough transport experiment [Phys. Rev. B.107.245423 (2023)] in Majorana nanowires, we theoretically investigate local and nonlocal transport in Majorana nanowires in various disorder regimes, correlating the…

介观与纳米尺度物理 · 物理学 2023-08-16 Sankar Das Sarma , Haining Pan

We study a periodically driven one dimensional Kitaev model in the presence of disorder. In the clean limit our model exhibits four topological phases corresponding to the existence or non-existence of edge modes at zero and pi quasienergy.…

We present a comprehensive study of two of the most experimentally relevant extensions of Kitaev's spinless model of a 1D p-wave superconductor: those involving (i) longer range hopping and superconductivity and (ii) inhomogeneous…

超导电性 · 物理学 2013-10-08 Wade DeGottardi , Manisha Thakurathi , Smitha Vishveshwara , Diptiman Sen

Recent experiments have produced mounting evidence of Majorana zero modes in nanowire-superconductor hybrids. Signatures of an expected topological phase transition accompanying the onset of these modes nevertheless remain elusive. We…

介观与纳米尺度物理 · 物理学 2016-06-13 Ryan V. Mishmash , David Aasen , Andrew P. Higginbotham , Jason Alicea

Majorana bound states have been recently observed at the boundaries of one-dimensional topological superconductors. Yet, controlling the localization of the Majorana states, which is essential to the realization of any topological quantum…

超导电性 · 物理学 2017-11-22 Pasquale Marra , Mario Cuoco

It is commonly assumed that topological phase transitions in topological superconductors are accompanied by a closing of the topological gap or a change of the symmetry of the system. We demonstrate that an unconventional topological phase…

超导电性 · 物理学 2021-06-16 Maciej M. Maśka , Nicholas Sedlmayr , Aksel Kobiałka , Tadeusz Domański

We theoretically consider the effect of a spatially periodic modulation of the superconducting order parameter on the formation of Majorana fermions induced by a one-dimensional system with magnetic impurities brought into close proximity…

介观与纳米尺度物理 · 物理学 2016-04-19 Silas Hoffman , Jelena Klinovaja , Daniel Loss

When subjected to quasiperiodic driving protocols, superconducting systems have been found to harbor robust time-quasiperiodic Majorana modes, extending the concept beyond static and Floquet systems. However, the presence of incommensurate…

介观与纳米尺度物理 · 物理学 2024-07-22 Zihao Qi , Ilyoun Na , Gil Refael , Yang Peng

We study the Majorana bound states arising in quasi-one-dimensional systems with Rashba spin-orbit coupling in the presence of an in-plane Zeeman magnetic field. Using two different methods, first, the numerical diagonalization of the…

介观与纳米尺度物理 · 物理学 2017-12-12 Vardan Kaladzhyan , Julien Despres , Ipsita Mandal , Cristina Bena

Majorana zero modes in condensed matter systems have been the subject of much interest in recent years. Their non-Abelian exchange statistics, making them a unique state of matter, and their potential applications in topological quantum…

介观与纳米尺度物理 · 物理学 2022-01-26 Omri Lesser , Yuval Oreg

We show that the coupling of homogeneous Heisenberg spin-1/2 ladders in different phases leads to the formation of interfacial zero energy Majorana bound states. Unlike Majorana bound states at the interfaces of topological quantum wires,…

We study the phase transition between a trivial and a time-reversal-invariant topological superconductor in a single-band system. By analyzing the interplay of symmetry, topology and energetics, we show that for a generic normal state band…

超导电性 · 物理学 2017-11-08 Yuxuan Wang , Liang Fu

In recent experiments, time-dependent periodic fields are used to create exotic topological phases of matter with potential applications ranging from quantum transport to quantum computing. These nonequilibrium states, at high driving…

强关联电子 · 物理学 2018-09-28 Oles Shtanko , Ramis Movassagh

Using a combination of the mean-field Bogoliubov deGennes (BdG) approach and the Density Matrix Renormalization Group (DMRG) method, we discover first order topological transitions between topological superconducting and trivial insulating…

强关联电子 · 物理学 2023-03-29 Shruti Agarwal , Shreekant Gawande , Satoshi Nishimoto , Jeroen van den Brink , Sanjeev Kumar

Competition between magnetism and superconductivity can lead to unconventional and topological superconductivity. However, the experimental confirmation of the presence of Majorana edge states and unconventional pairing currently poses a…

超导电性 · 物理学 2025-01-03 Flavio Noronha , Askery Canabarro , Rafael Chaves , Rodrigo G. Pereira

We study topological transitions in one dimensional superconductors that can harbor multiple edge Majorana bound states protected by chiral symmetry. The chiral symmetry arises due to the structure of the internal spin degrees of freedom of…

超导电性 · 物理学 2025-05-05 Kristian Løvås Svalland , Maria Teresa Mercaldo , Mario Cuoco
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