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Title: Long-range Kitaev chains via planar Josephson junctions

Abstract

Not provided.

Authors:
; ;
Publication Date:
Research Org.:
New York Univ. (NYU), NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1540876
DOE Contract Number:  
SC0010821
Resource Type:
Journal Article
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 23; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
Materials Science; Physics

Citation Formats

Liu, Dillon T., Shabani, Javad, and Mitra, Aditi. Long-range Kitaev chains via planar Josephson junctions. United States: N. p., 2018. Web. doi:10.1103/physrevb.97.235114.
Liu, Dillon T., Shabani, Javad, & Mitra, Aditi. Long-range Kitaev chains via planar Josephson junctions. United States. doi:10.1103/physrevb.97.235114.
Liu, Dillon T., Shabani, Javad, and Mitra, Aditi. Fri . "Long-range Kitaev chains via planar Josephson junctions". United States. doi:10.1103/physrevb.97.235114.
@article{osti_1540876,
title = {Long-range Kitaev chains via planar Josephson junctions},
author = {Liu, Dillon T. and Shabani, Javad and Mitra, Aditi},
abstractNote = {Not provided.},
doi = {10.1103/physrevb.97.235114},
journal = {Physical Review B},
issn = {2469-9950},
number = 23,
volume = 97,
place = {United States},
year = {2018},
month = {6}
}

Works referenced in this record:

New directions in the pursuit of Majorana fermions in solid state systems
journal, June 2012


Introduction to topological superconductivity and Majorana fermions
journal, November 2012


Search for Majorana Fermions in Superconductors
journal, April 2013


Majorana fermions in semiconductor nanowires: fundamentals, modeling, and experiment
journal, May 2013


Majorana zero modes in superconductor–semiconductor heterostructures
journal, May 2018

  • Lutchyn, R. M.; Bakkers, E. P. A. M.; Kouwenhoven, L. P.
  • Nature Reviews Materials, Vol. 3, Issue 5
  • DOI: 10.1038/s41578-018-0003-1

Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures
journal, January 2010


Majorana fermions in a tunable semiconductor device
journal, March 2010


Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
journal, August 2010


Helical Liquids and Majorana Bound States in Quantum Wires
journal, October 2010


The fractional a.c. Josephson effect in a semiconductor–superconductor nanowire as a signature of Majorana particles
journal, September 2012

  • Rokhinson, Leonid P.; Liu, Xinyu; Furdyna, Jacek K.
  • Nature Physics, Vol. 8, Issue 11
  • DOI: 10.1038/nphys2429

Inducing Time-Reversal-Invariant Topological Superconductivity and Fermion Parity Pumping in Quantum Wires
journal, September 2013


Proposal for realizing Majorana fermions in chains of magnetic atoms on a superconductor
journal, July 2013


Topological Superconductivity and Majorana Fermions in RKKY Systems
journal, November 2013


Visualizing Majorana bound states in one and two dimensions using the generalized Majorana polarization
journal, September 2015


Detecting topological superconductivity with φ 0 Josephson junctions
journal, May 2017


Tunable magnetic textures: From Majorana bound states to braiding
journal, August 2017


Fault-tolerant quantum computation by anyons
journal, January 2003


Non-Abelian anyons and topological quantum computation
journal, September 2008


Fermionic Quantum Computation
journal, May 2002


Universal quantum computation with ideal Clifford gates and noisy ancillas
journal, February 2005


Topological quantum computation
journal, October 2002

  • Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.
  • Bulletin of the American Mathematical Society, Vol. 40, Issue 01
  • DOI: 10.1090/S0273-0979-02-00964-3

Topological Superconductivity in a Planar Josephson Junction
journal, May 2017


Coupling and braiding Majorana bound states in networks defined in two-dimensional electron gases with proximity-induced superconductivity
journal, July 2017


Two-Dimensional Platform for Networks of Majorana Bound States
journal, March 2017


Controlled finite momentum pairing and spatially varying order parameter in proximitized HgTe quantum wells
journal, September 2016

  • Hart, Sean; Ren, Hechen; Kosowsky, Michael
  • Nature Physics, Vol. 13, Issue 1
  • DOI: 10.1038/nphys3877

Induced superconductivity in high-mobility two-dimensional electron gas in gallium arsenide heterostructures
journal, June 2015

  • Wan, Zhong; Kazakov, Aleksandr; Manfra, Michael J.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8426

Quantized conductance doubling and hard gap in a two-dimensional semiconductor–superconductor heterostructure
journal, September 2016

  • Kjaergaard, M.; Nichele, F.; Suominen, H. J.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms12841

Two-dimensional epitaxial superconductor-semiconductor heterostructures: A platform for topological superconducting networks
journal, April 2016


Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
journal, October 2017


Transparent Semiconductor-Superconductor Interface and Induced Gap in an Epitaxial Heterostructure Josephson Junction
journal, March 2017


Scaling of Majorana Zero-Bias Conductance Peaks
journal, September 2017

  • Nichele, Fabrizio; Drachmann, Asbjørn C. C.; Whiticar, Alexander M.
  • Physical Review Letters, Vol. 119, Issue 13
  • DOI: 10.1103/PhysRevLett.119.136803

Building topological quantum circuits: Majorana nanowire junctions
journal, January 2018


Unpaired Majorana fermions in quantum wires
journal, October 2001


Majorana zero modes in a quantum Ising chain with longer-ranged interactions
journal, January 2012


Majorana fermions in superconducting wires: Effects of long-range hopping, broken time-reversal symmetry, and potential landscapes
journal, October 2013

  • DeGottardi, Wade; Thakurathi, Manisha; Vishveshwara, Smitha
  • Physical Review B, Vol. 88, Issue 16
  • DOI: 10.1103/PhysRevB.88.165111

Kitaev Chains with Long-Range Pairing
journal, October 2014


Long-range Ising and Kitaev models: phases, correlations and edge modes
journal, December 2015


Topological massive Dirac edge modes and long-range superconducting Hamiltonians
journal, September 2016


Extended Kitaev chain with longer-range hopping and pairing
journal, May 2017


Probing the role of long-range interactions in the dynamics of a long-range Kitaev chain
journal, September 2017


Disordered Kitaev chains with long-range pairing
journal, February 2017


Generating many Majorana modes via periodic driving: A superconductor model
journal, May 2013


Floquet engineering of long-range p -wave superconductivity
journal, November 2014


Non-local propagation of correlations in quantum systems with long-range interactions
journal, July 2014

  • Richerme, Philip; Gong, Zhe-Xuan; Lee, Aaron
  • Nature, Vol. 511, Issue 7508
  • DOI: 10.1038/nature13450

Quasiparticle engineering and entanglement propagation in a quantum many-body system
journal, July 2014


Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins
journal, April 2012

  • Britton, Joseph W.; Sawyer, Brian C.; Keith, Adam C.
  • Nature, Vol. 484, Issue 7395
  • DOI: 10.1038/nature10981

Topological superconducting phase in helical Shiba chains
journal, October 2013


Current transport properties and phase diagram of a Kitaev chain with long-range pairing
journal, April 2018


Disordered topological insulators via C * -algebras
journal, December 2010


Almost commuting matrices, localized Wannier functions, and the quantum Hall effect
journal, January 2010

  • Hastings, Matthew B.; Loring, Terry A.
  • Journal of Mathematical Physics, Vol. 51, Issue 1
  • DOI: 10.1063/1.3274817

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journal, May 2015


Aperiodic Weak Topological Superconductors
journal, June 2016


Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures
journal, January 1997


Topological phases of quasi-one-dimensional fermionic atoms with a synthetic gauge field
journal, July 2013


Topological phases of fermions in one dimension
journal, February 2011


Topological Invariants for Spin-Orbit Coupled Superconductor Nanowires
journal, October 2012


Topological minigap in quasi-one-dimensional spin-orbit-coupled semiconductor Majorana wires
journal, July 2012


Entanglement properties of the time-periodic Kitaev chain
journal, September 2017