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The simulation of systems of interacting fermions is one of the most anticipated applications of quantum computers. The most interesting simulations will require a fault-tolerant quantum computer, and building such a device remains a…

量子物理 · 物理学 2023-03-29 Kevin J. Sung , Marko J. Rančić , Olivia T. Lanes , Nicholas T. Bronn

If a quantum dot is coupled to a topological superconductor via tunneling contacts, each contact hosts a Majorana zero mode in the limit of zero transmission. Close to a resonance and at a finite contact transparency, the resonant level in…

介观与纳米尺度物理 · 物理学 2024-06-11 Max Geier , Svend Krøjer , Felix von Oppen , Charles M. Marcus , Karsten Flensberg , Piet W. Brouwer

We study free fermionic models that host Majorana zero modes using the Majorana orthogonal transformation, which is a type of transformation between different fermionic models under Majorana representation of complex fermions. Using…

强关联电子 · 物理学 2021-09-08 Jianlong Fu

Majorana zero modes (MZMs)--bearing potential applications for topological quantum computing--are verified in quasi-one-dimensional (1D) Fermion systems, including semiconductor nanowires, magnetic atomic chains, planar Josephson junctions.…

介观与纳米尺度物理 · 物理学 2020-04-29 Shu-guang Cheng , Jie Liu , Haiwen Liu , Hua Jiang , Qing-feng Sun , X. C. Xie

We relax one of the requirements for topological quantum computation with Majorana fermions. Topological quantum computation was discussed so far as manipulation of the wave function within degenerate many body ground state. The simplest…

超导电性 · 物理学 2015-10-12 A. R. Akhmerov

We present a simple model of Majorana fermions on a square lattice, and study zero-energy states due to Z$_2$ vortices. We show the relationship between the Chern number of the ground state and the number of the zero-energy states by…

超导电性 · 物理学 2011-11-28 K. Ejima , T. Fukui

The quantum evolution after a metallic lead is suddenly connected to an electron system contains information about the excitation spectrum of the combined system. We exploit this type of "quantum quench" to probe the presence of Majorana…

介观与纳米尺度物理 · 物理学 2014-10-16 R. Vasseur , J. P. Dahlhaus , J. E. Moore

In this letter we present, in a number conserving framework, a model of interacting fermions in a two-wire geometry supporting non-local zero-energy Majorana-like edge excitations. The model has an exactly solvable line, on varying the…

强关联电子 · 物理学 2015-10-12 Fernando Iemini , Leonardo Mazza , Davide Rossini , Rosario Fazio , Sebastian Diehl

The Kondo effect is a striking consequence of the coupling of itinerant electrons to a quantum spin with degenerate energy levels. While degeneracies are commonly thought to arise from symmetries or fine-tuning of parameters, the recent…

介观与纳米尺度物理 · 物理学 2012-10-11 B. Béri , N. R. Cooper

Many-body entanglement is studied within the algebraic approach to quantum physics in systems made of Majorana fermions. In this framework, the notion of separability stems from partitions of the algebra of observables and properties of the…

量子物理 · 物理学 2016-07-20 F. Benatti , R. Floreanini

Majorana qubits offer a promising way to store and manipulate quantum information by encoding it into the state of Majorana zero modes. As the information is stored in a topological property of the system, local noise cannot lead to…

介观与纳米尺度物理 · 物理学 2015-03-05 Christoph Ohm , Fabian Hassler

A one-dimensional Ising model in a transverse field can be mapped onto a system of spinless fermions with p-wave superconductivity. In the weak-coupling BCS regime, it exhibits a zero energy Majorana mode at each end of the chain. Here, we…

强关联电子 · 物理学 2012-01-17 Yuezhen Niu , Suk Bum Chung , Chen-Hsuan Hsu , Ipsita Mandal , S. Raghu , Sudip Chakravarty

We study the effects of Majorana modes and interactions between electrons on transport in a one-dimensional system with a junction of three p-wave superconductors (SCs) which are connected to normal metal leads. For sufficiently long SCs,…

介观与纳米尺度物理 · 物理学 2016-02-17 Oindrila Deb , Manisha Thakurathi , Diptiman Sen

Majorana fermions (MFs) are predicted to occur as zero-energy bound states in semiconductor nanowire-superconductor structures. However, in the presence of disorder or smooth confining potentials, these structures can also host…

介观与纳米尺度物理 · 物理学 2013-04-12 T. D. Stanescu , Sumanta Tewari

We investigate the topological phase diagram of {an extension of the Haldane model with equal spin pairing superconductivity}. In two dimensions, we find a topological nodal superconducting phase, which exhibits a chiral Majorana mode…

介观与纳米尺度物理 · 物理学 2026-04-21 Simone Traverso , Niccolò Traverso Ziani , Maura Sassetti , Fernando Dominguez

Majorana zero modes are expected to arise in semiconductor-superconductor hybrid systems, with potential topological quantum computing applications. One limitation of this approach is the need for a relatively high external magnetic field…

By considering Majorana zero modes to laterally couple to the quantum dot, we evaluate the thermoelectric effect in one single-dot system. The calculation results show that if one Majorana zero mode couples to the dot, the thermoelectric…

介观与纳米尺度物理 · 物理学 2019-05-22 Xiao-Qi Wang , Shu-Feng Zhang , Hu Han , Guang-Yu Yi , Wei-Jiang Gong

It is shown in previous works that the coupling between two Majorana end states in superconducting quantum wires leads to fractional Josephson effect. However, in realistic experimental conditions, multiple bands of the wires are occupied…

介观与纳米尺度物理 · 物理学 2015-05-27 K. T. Law , Patrick A. Lee

We concisely review the recent evolution in the study of parafermions -- exotic emergent excitations that generalize Majorana fermions and similarly underpin a host of novel phenomena. First we illustrate the intimate connection between…

强关联电子 · 物理学 2016-04-01 Jason Alicea , Paul Fendley

We present a pedagogical review of topological superconductivity and its consequences in spin-orbit coupled semiconductor/superconductor heterostructures. We start by reviewing the historical origins of the notions of Dirac and Majorana…

超导电性 · 物理学 2022-09-22 Jay Sau , Sumanta Tewari