DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Triplet p + ip pairing correlations in the doped Kane-Mele-Hubbard model: A quantum Monte Carlo study

Abstract

By using the constrained-phase quantum Monte Carlo method, we performed a systematic study of the pairing correlations in the ground state of the doped Kane-Mele-Hubbard model on a honeycomb lattice. We find that pairing correlations with d + id symmetry dominate close to half filling, but pairing correlations with p+ip symmetry dominate as hole doping moves the system below three-quarters filling. We correlate these behaviors of the pairing correlations with the topology of the Fermi surfaces of the non-interacting problem. We also find that the effective pairing correlation is enhanced greatly as the interaction increases, and these superconducting correlations are robust against varying the spin-orbit coupling strength. Finally, our numerical results suggest a possible way to realize spin triplet superconductivity in doped honeycomb-like materials or ultracold atoms in optical traps.

Authors:
 [1];  [2];  [3]
  1. Beijing Normal Univ., Beijing (China). Dept. of Physics; Beijing Computational Science Research Center, Beijing (China)
  2. Beijing Computational Science Research Center, Beijing (China)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE; NSCF; Fundamental Research Funds for the Central Universities
OSTI Identifier:
1329857
Report Number(s):
LA-UR-14-28548
Journal ID: ISSN 0295-5075
Grant/Contract Number:  
AC52-06NA25396; 11374034; 11334012; U1530401; 2014KJJCB26
Resource Type:
Accepted Manuscript
Journal Name:
Europhysics Letters
Additional Journal Information:
Journal Volume: 111; Journal Issue: 4; Journal ID: ISSN 0295-5075
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Material Science

Citation Formats

Ma, Tianxing, Lin, Hai-Qing, and Gubernatis, James E. Triplet p + ip pairing correlations in the doped Kane-Mele-Hubbard model: A quantum Monte Carlo study. United States: N. p., 2015. Web. doi:10.1209/0295-5075/111/47003.
Ma, Tianxing, Lin, Hai-Qing, & Gubernatis, James E. Triplet p + ip pairing correlations in the doped Kane-Mele-Hubbard model: A quantum Monte Carlo study. United States. https://doi.org/10.1209/0295-5075/111/47003
Ma, Tianxing, Lin, Hai-Qing, and Gubernatis, James E. Tue . "Triplet p + ip pairing correlations in the doped Kane-Mele-Hubbard model: A quantum Monte Carlo study". United States. https://doi.org/10.1209/0295-5075/111/47003. https://www.osti.gov/servlets/purl/1329857.
@article{osti_1329857,
title = {Triplet p + ip pairing correlations in the doped Kane-Mele-Hubbard model: A quantum Monte Carlo study},
author = {Ma, Tianxing and Lin, Hai-Qing and Gubernatis, James E.},
abstractNote = {By using the constrained-phase quantum Monte Carlo method, we performed a systematic study of the pairing correlations in the ground state of the doped Kane-Mele-Hubbard model on a honeycomb lattice. We find that pairing correlations with d + id symmetry dominate close to half filling, but pairing correlations with p+ip symmetry dominate as hole doping moves the system below three-quarters filling. We correlate these behaviors of the pairing correlations with the topology of the Fermi surfaces of the non-interacting problem. We also find that the effective pairing correlation is enhanced greatly as the interaction increases, and these superconducting correlations are robust against varying the spin-orbit coupling strength. Finally, our numerical results suggest a possible way to realize spin triplet superconductivity in doped honeycomb-like materials or ultracold atoms in optical traps.},
doi = {10.1209/0295-5075/111/47003},
journal = {Europhysics Letters},
number = 4,
volume = 111,
place = {United States},
year = {Tue Sep 01 00:00:00 EDT 2015},
month = {Tue Sep 01 00:00:00 EDT 2015}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 15 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Constrained path calculations of the 4 He and 16 O nuclei
journal, July 2003


Interplay of superconductivity and spin density wave order in doped graphene
text, January 2012


Z2 Topological Order and the Quantum Spin Hall Effect
journal, September 2005


Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
journal, July 2009


Spontaneous symmetry breaking in a two-dimensional kagome lattice
journal, July 2010


Topological Mott Insulators
journal, April 2008


Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
journal, August 2010


Topological insulators and Mott physics from the Hubbard interaction
journal, August 2010


Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
journal, March 2011


Phase diagram of the Kane-Mele-Coulomb model
journal, August 2014


Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined quantum Monte Carlo and Green's function study
journal, March 2013


Doping the Kane-Mele-Hubbard model: A slave-boson approach
journal, December 2011


Chiral superconductivity from repulsive interactions in doped graphene
journal, January 2012

  • Nandkishore, Rahul; Levitov, L. S.; Chubukov, A. V.
  • Nature Physics, Vol. 8, Issue 2
  • DOI: 10.1038/nphys2208

Competing many-body instabilities and unconventional superconductivity in graphene
journal, July 2012


Resonating valence bonds and mean-field d -wave superconductivity in graphite
journal, April 2007


Andreev conductance in thed+id-wave superconducting states of graphene
journal, June 2008


Possible high-temperature superconducting state with a d + i d pairing symmetry in doped graphene
journal, February 2010


Pairing in graphene: A quantum Monte Carlo study
journal, September 2011


Coexistence of antiferromagnetism and superconductivity of t-t-J model on honeycomb lattice
journal, April 2015


Ground-state and finite-temperature signatures of quantum phase transitions in the half-filled Hubbard model on a honeycomb lattice
journal, August 2005


Intense paramagnon excitations in a large family of high-temperature superconductors
journal, July 2011

  • Le Tacon, M.; Ghiringhelli, G.; Chaloupka, J.
  • Nature Physics, Vol. 7, Issue 9
  • DOI: 10.1038/nphys2041

A common thread: The pairing interaction for unconventional superconductors
journal, October 2012


Possible tripletp+ipsuperconductivity in graphene at low filling
journal, December 2014


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


Topological Quantum Computation--From Basic Concepts to First Experiments
journal, March 2013


A quantum Monte Carlo method for nucleon systems
journal, January 1999


A Constrained path Monte Carlo Method for Nucleon Systems
journal, May 2001

  • Schmidt, K. E.; Sarsa, A.; Fantoni, S.
  • International Journal of Modern Physics B, Vol. 15, Issue 10n11
  • DOI: 10.1142/S0217979201005994

Constrained path calculations of the 4 He and 16 O nuclei
journal, July 2003


Quantum Monte Carlo Method using Phase-Free Random Walks with Slater Determinants
journal, April 2003


Two-dimensional gas of massless Dirac fermions in graphene
journal, November 2005

  • Novoselov, K. S.; Geim, A. K.; Morozov, S. V.
  • Nature, Vol. 438, Issue 7065, p. 197-200
  • DOI: 10.1038/nature04233

Experimental observation of the quantum Hall effect and Berry's phase in graphene
journal, November 2005

  • Zhang, Yuanbo; Tan, Yan-Wen; Stormer, Horst L.
  • Nature, Vol. 438, Issue 7065, p. 201-204
  • DOI: 10.1038/nature04235

Silicene: Compelling Experimental Evidence for Graphenelike Two-Dimensional Silicon
journal, April 2012


Two- and One-Dimensional Honeycomb Structures of Silicon and Germanium
journal, June 2009


Quantum Phase Transitions across a p-Wave Feshbach Resonance
journal, June 2005


Flat Bands and Wigner Crystallization in the Honeycomb Optical Lattice
journal, August 2007


Simulation and Detection of Dirac Fermions with Cold Atoms in an Optical Lattice
journal, June 2007


Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
journal, March 2012

  • Tarruell, Leticia; Greif, Daniel; Uehlinger, Thomas
  • Nature, Vol. 483, Issue 7389
  • DOI: 10.1038/nature10871

Constrained Path Quantum Monte Carlo Method for Fermion Ground States
journal, May 1995


Constrained path Monte Carlo method for fermion ground states
journal, March 1997


Issues and observations on applications of the constrained-path Monte Carlo method to many-fermion systems
journal, May 1999


New stochastic method for systems with broken time-reversal symmetry: 2D fermions in a magnetic field
journal, October 1993


Spatially inhomogeneous phase in the two-dimensional repulsive Hubbard model
journal, October 2008


Spin and Charge Order in the Doped Hubbard Model: Long-Wavelength Collective Modes
journal, March 2010


Itinerant ferromagnetism in a Fermi gas with contact interaction: Magnetic properties in a dilute Hubbard model
journal, December 2010


Works referencing / citing this record:

Room-temperature magnetism on the zigzag edges of phosphorene nanoribbons
journal, August 2016


Triplet p-wave pairing correlation in low-doped zigzag graphene nanoribbons
journal, February 2017

  • Ma, Tianxing; Yang, Fan; Huang, Zhongbing
  • Scientific Reports, Vol. 7, Issue 1
  • DOI: 10.1038/srep42262

Triplet p-wave pairing correlation in low-doped zigzag graphene nanoribbons
journal, February 2017


Triplet p-wave pairing correlation in low-doped zigzag graphene nanoribbons
journal, February 2017


Room temperature magnetism on the zigzag edges of phosphorene nanoribbons
text, January 2016


Ground state superconducting pair correlations in twisted bilayer graphene
journal, December 2019