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Spin-singlet topological superconductivity in the attractive Rashba-Hubbard model

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [3];  [1]
  1. Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
  2. Eidgenoessische Technische Hochschule (ETH), Zurich (Switzerland)
  3. Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Fully gapped, spin-singlet superconductors with antisymmetric spin-orbit coupling in a Zeeman magnetic field provide a promising route to realize superconducting states with non-Abelian topological order and therefore fault-tolerant quantum computation. Here we use a quantum Monte Carlo dynamical cluster approximation to study the superconducting properties of a doped two-dimensional attractive Hubbard model with Rashba spin-orbit coupling in a Zeeman magnetic field. We generally find that the Rashba coupling has a beneficial effect towards s-wave superconductivity. In the presence of a finite Zeeman field, when superconductivity is suppressed by Pauli pair breaking, the Rashba coupling counteracts the spin imbalance created by the Zeeman field by mixing the spins, and thus restores superconductivity at finite temperatures. Further, we show that this favorable effect of the spin-orbit coupling is traced to a spin-flip driven enhancement of the amplitude for the propagation of a pair of electrons in time-reversed states. Moreover, by inspecting the Fermi surface of the interacting model, we show that for sufficiently large Rashba coupling and Zeeman field, the superconducting state is expected to be topologically nontrivial.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1976040
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 22 Vol. 107; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (43)

Fault-tolerant quantum computation by anyons journal January 2003
The density matrix renormalization group for strongly correlated electron systems: A generic implementation journal September 2009
DCA++: A software framework to solve correlated electron problems with modern quantum cluster methods journal January 2020
Pairing in a dry Fermi sea journal June 2016
New directions in the pursuit of Majorana fermions in solid state systems journal June 2012
Developments in the negative- U modelling of the cuprate HTSC systems journal November 2001
Topological superconductors: a review journal May 2017
Rashba-metal to Mott-insulator transition journal June 2020
Tunable critical field in Rashba superconductor thin films journal January 2021
Two-dimensional attractive Hubbard model and the BCS-BEC crossover journal May 2022
Superconductivity in ladders and coupled planes journal March 1992
Density-matrix algorithms for quantum renormalization groups journal October 1993
Nonlocal dynamical correlations of strongly interacting electron systems journal September 1998
Quantum Monte Carlo algorithm for nonlocal corrections to the dynamical mean-field approximation journal October 2001
Critical temperature for the two-dimensional attractive Hubbard model journal May 2004
Sufficient condition for absence of the sign problem in the fermionic quantum Monte Carlo algorithm journal April 2005
Non-Abelian topological orders and Majorana fermions in spin-singlet superconductors journal October 2010
Submatrix updates for the continuous-time auxiliary-field algorithm journal February 2011
Pair structure and the pairing interaction in a bilayer Hubbard model for unconventional superconductivity journal November 2011
Two-particle correlations in a dynamic cluster approximation with continuous momentum dependence: Superconductivity in the two-dimensional Hubbard model journal May 2014
TopologicalD+p-wave superconductivity in Rashba systems journal February 2016
Critical temperature enhancement of topological superconductors: A dynamical mean-field study journal June 2016
Paramagnetically induced gapful topological superconductors journal August 2016
Parity-mixing superconducting phase in the Rashba-Hubbard model and its topological properties from dynamical mean-field theory journal December 2018
Monte Carlo calculations of coupled boson-fermion systems. I journal October 1981
p x + i p y Superfluid from s -Wave Interactions of Fermionic Cold Atoms journal October 2008
Non-Abelian Topological Order in s -Wave Superfluids of Ultracold Fermionic Atoms journal July 2009
Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures journal January 2010
Fermions in 2D Optical Lattices: Temperature and Entropy Scales for Observing Antiferromagnetism and Superfluidity journal February 2010
Existence of Majorana Fermions and Topological Order in Nodal Superconductors with Spin-Orbit Interactions in External Magnetic Fields journal November 2010
Electrical Manipulation of Majorana Fermions in an Interdigitated Superconductor-Ferromagnet Device journal September 2012
Phase diagram of the two-dimensional negative- U Hubbard model journal March 1989
Two-dimensional negative- U Hubbard model journal February 1991
Density matrix formulation for quantum renormalization groups journal November 1992
Dynamical Mean-Field Theory for Pairing and Spin Gap in the Attractive Hubbard Model journal May 2001
Inhomogeneous Stripe Phase Revisited for Surface Superconductivity journal November 2002
Superconductivity in narrow-band systems with local nonretarded attractive interactions journal January 1990
Correlated electrons in high-temperature superconductors journal July 1994
Quantum cluster theories journal October 2005
Topological insulators and superconductors journal October 2011
Surprises on the Way from One- to Two-Dimensional Quantum Magnets: The Ladder Materials journal February 1996
Continuous-time auxiliary-field Monte Carlo for quantum impurity models journal May 2008
BCS–BEC Crossover in the Two-Dimensional Attractive Hubbard Model: Variational Cluster Approach journal February 2014

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