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Title: Emergence of p+ip superconductivity in two-dimensional doped Dirac systems

Abstract

Searching for the $p + ip$ superconducting (SC) state has become a fascinating subject in condensed matter physics recently, as a dream application awaiting in topological quantum computation. Unfortunately, so far there is no universal principle for realizing $p + ip$ in generic solid-state systems. Here we report a theoretical discovery of a $p + ip$ SC ground state (coexisting with ferromagnetic order) in the honeycomb lattice Hubbard model in the extremely strong-coupling limit (e.g., infinite U) at low doping $(δ < 0.2)$, by using both the state-of-art Grassmann tensor product state approach and a continuum quantum field theory approach. Our discovery suggests a mechanism for the $p + ip$ SC state in generic strongly correlated systems based on spin-charge separation and the charge current–current coupling scenario, which opens a door towards experimental realization. The $p + ip$ SC state has an instability towards a potential non-Fermi liquid with a large but finite U . Nevertheless, by applying an in-plane Zeeman field, such a $p + ip$ SC state can be stabilized with finite U in a very wide range of doping. Relevant realistic materials are also proposed.

Authors:
ORCiD logo [1];  [2];  [3]
  1. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  3. The Inst. of Mathematical Sciences (India)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1638081
Grant/Contract Number:  
AC02-76SF00515; N-CUHK427/18; 3110113
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 101; Journal Issue: 20; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Superconductivity; Topological superconductors; Density matrix renormalization group; Hubbard model; Matrix product states

Citation Formats

Gu, Zheng-Cheng, Jiang, Hong-Chen, and Baskaran, G. Emergence of p+ip superconductivity in two-dimensional doped Dirac systems. United States: N. p., 2020. Web. https://doi.org/10.1103/physrevb.101.205147.
Gu, Zheng-Cheng, Jiang, Hong-Chen, & Baskaran, G. Emergence of p+ip superconductivity in two-dimensional doped Dirac systems. United States. https://doi.org/10.1103/physrevb.101.205147
Gu, Zheng-Cheng, Jiang, Hong-Chen, and Baskaran, G. Fri . "Emergence of p+ip superconductivity in two-dimensional doped Dirac systems". United States. https://doi.org/10.1103/physrevb.101.205147. https://www.osti.gov/servlets/purl/1638081.
@article{osti_1638081,
title = {Emergence of p+ip superconductivity in two-dimensional doped Dirac systems},
author = {Gu, Zheng-Cheng and Jiang, Hong-Chen and Baskaran, G.},
abstractNote = {Searching for the $p + ip$ superconducting (SC) state has become a fascinating subject in condensed matter physics recently, as a dream application awaiting in topological quantum computation. Unfortunately, so far there is no universal principle for realizing $p + ip$ in generic solid-state systems. Here we report a theoretical discovery of a $p + ip$ SC ground state (coexisting with ferromagnetic order) in the honeycomb lattice Hubbard model in the extremely strong-coupling limit (e.g., infinite U) at low doping $(δ < 0.2)$, by using both the state-of-art Grassmann tensor product state approach and a continuum quantum field theory approach. Our discovery suggests a mechanism for the $p + ip$ SC state in generic strongly correlated systems based on spin-charge separation and the charge current–current coupling scenario, which opens a door towards experimental realization. The $p + ip$ SC state has an instability towards a potential non-Fermi liquid with a large but finite U . Nevertheless, by applying an in-plane Zeeman field, such a $p + ip$ SC state can be stabilized with finite U in a very wide range of doping. Relevant realistic materials are also proposed.},
doi = {10.1103/physrevb.101.205147},
journal = {Physical Review B},
number = 20,
volume = 101,
place = {United States},
year = {2020},
month = {5}
}

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

Figures / Tables:

FIG. 1 FIG. 1: Ground state energy as a function of doping. As a benchmark, we performed DMRG calculation for a small cluster with N = 54 sites under PBC. Insert: FM magnetization as a function of doping.

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.