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Title: Nontopological Majorana Zero Modes in Inhomogeneous Spin Ladders

Journal Article · · Physical Review Letters
 [1];  [2];  [3];  [4];  [5];  [4];  [6];  [7]; ORCiD logo [6]
  1. Univ. of Amsterdam, Amsterdam (The Netherlands); Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Univ. zu Koln, Koln (Germany)
  3. Heinrich-Heine-Univ., Dusseldorf (Germany)
  4. Utrecht Univ., Utrecht (The Netherlands)
  5. Beihang Univ., Beijing (China); Ludwig-Maximilians-Univ., Munich (Germany)
  6. Brookhaven National Lab. (BNL), Upton, NY (United States)
  7. Brookhaven National Lab. (BNL), Upton, NY (United States); Ludwig-Maximilians-Univ., Munich (Germany)
+ Show Author Affiliations

Here, 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, these states are void of topological protection and generally susceptible to local perturbations of the host spin system. However, a key message of our Letter is that, in practice, they show a high degree of resilience over wide parameter ranges which may make them interesting candidates for applications.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
SC0012704
OSTI ID:
1494048
Report Number(s):
BNL--211257-2019-JAAM
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 2 Vol. 122; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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The density-matrix renormalization group in the age of matrix product states text January 2010
From Luttinger liquid to non-Abelian quantum Hall states text January 2011
Topological Kondo effect with Majorana fermions text January 2012
Multi-Terminal Coulomb-Majorana Junction text January 2012
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Majorana Zero Modes and Topological Quantum Computation text January 2015
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One-dimensional two-orbital SU(N) ultracold fermionic quantum gases at incommensurate filling: a low-energy approach text January 2016
Topological Bootstrap: Fractionalization From Kondo Coupling text January 2016
Majorana Zero Modes Protected by Hopf Invariant in Topologically Trivial Superconductors text January 2017
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Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods text January 2017
Unified Phase Diagram of Antiferromagnetic SU(N) Spin Ladders text January 2018
Majorana corner modes in a high-temperature platform text January 2018
The density-matrix renormalization group text January 2004
Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains text January 1995
The ground state of the two-leg Hubbard ladder: a density--matrix renormalization group study text January 1996
Boundary states and finite size effects in sine-Gordon model with Neumann boundary condition text January 2001
Finite size effects in boundary sine-Gordon theory text January 2001
Double sine-Gordon model revisited text January 2005
Nonlinear Integral Equation and Finite Volume Spectrum of Sine-Gordon Theory text January 1998
Scaling Functions in the Odd Charge Sector of Sine-Gordon/Massive Thirring Theory text January 1998

Cited By (6)

Exact zero modes in a quantum compass chain under inhomogeneous transverse fields journal August 2019
Quantum phase transition and criticality in quasi-one-dimensional spinless Dirac fermions journal September 2019
Model of spin liquids with and without time-reversal symmetry journal May 2019
Model of spin liquids with and without time-reversal symmetry text January 2018
Exact zero modes in a quantum compass chain under inhomogeneous transverse fields text January 2019
Quantum phase transition and criticality in quasi one-dimensional spinless Dirac fermions text January 2019

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