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:
-
[1];
- Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- 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. doi: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 = {Fri May 29 00:00:00 EDT 2020},
month = {Fri May 29 00:00:00 EDT 2020}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 4 works
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
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.
All figures and tables
(6 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Unconventional superconductivity in magic-angle graphene superlattices
journal, March 2018
- Cao, Yuan; Fatemi, Valla; Fang, Shiang
- Nature, Vol. 556, Issue 7699
Exact results for the U =∞ Hubbard model
journal, October 1990
- Trugman, S. A.
- Physical Review B, Vol. 42, Issue 10
Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
journal, August 2010
- Lutchyn, Roman M.; Sau, Jay D.; Das Sarma, S.
- Physical Review Letters, Vol. 105, Issue 7
Possible highT c superconductivity in the Ba?La?Cu?O system
journal, June 1986
- Bednorz, J. G.; M�ller, K. A.
- Zeitschrift f�r Physik B Condensed Matter, Vol. 64, Issue 2
Instability of the Nagaoka state with more than one hole
journal, August 1989
- Doucot, B.; Wen, X. G.
- Physical Review B, Vol. 40, Issue 4
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
Structural domain and finite-size effects of the antiferromagnetic honeycomb lattice in
journal, July 2008
- Möller, A.; Löw, U.; Taetz, T.
- Physical Review B, Vol. 78, Issue 2
Time-reversal symmetry breaking superconducting ground state in the doped Mott insulator on the honeycomb lattice
journal, October 2013
- Gu, Zheng-Cheng; Jiang, Hong-Chen; Sheng, D. N.
- Physical Review B, Vol. 88, Issue 15
Ferromagnetism in the two-dimensional t - J model
journal, October 1992
- Putikka, W. O.; Luchini, M. U.; Ogata, M.
- Physical Review Letters, Vol. 69, Issue 15
Accurate Determination of Tensor Network State of Quantum Lattice Models in Two Dimensions
journal, August 2008
- Jiang, H. C.; Weng, Z. Y.; Xiang, T.
- Physical Review Letters, Vol. 101, Issue 9
Fermionic implementation of projected entangled pair states algorithm
journal, June 2010
- Pižorn, Iztok; Verstraete, Frank
- Physical Review B, Vol. 81, Issue 24
Efficient simulation of Grassmann tensor product states
journal, September 2013
- Gu, Zheng-Cheng
- Physical Review B, Vol. 88, Issue 11
Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices
journal, April 2012
- Mourik, V.; Zuo, K.; Frolov, S. M.
- Science, Vol. 336, Issue 6084
Stripes in the two-dimensional - model with infinite projected entangled-pair states
journal, July 2011
- Corboz, Philippe; White, Steven R.; Vidal, Guifré
- Physical Review B, Vol. 84, Issue 4
Ferromagnetism in the one-band Hubbard model
journal, September 1989
- Riera, J. A.; Young, A. P.
- Physical Review B, Vol. 40, Issue 7
Fermionic projected entangled pair states
journal, May 2010
- Kraus, Christina V.; Schuch, Norbert; Verstraete, Frank
- Physical Review A, Vol. 81, Issue 5
Competing States in the - Model: Uniform -Wave State versus Stripe State
journal, July 2014
- Corboz, Philippe; Rice, T. M.; Troyer, Matthias
- Physical Review Letters, Vol. 113, Issue 4
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
journal, March 2008
- Fu, Liang; Kane, C. L.
- Physical Review Letters, Vol. 100, Issue 9
Tuning superconductivity in twisted bilayer graphene
journal, January 2019
- Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy
- Science, Vol. 363, Issue 6431
Contraction of fermionic operator circuits and the simulation of strongly correlated fermions
journal, October 2009
- Barthel, Thomas; Pineda, Carlos; Eisert, Jens
- Physical Review A, Vol. 80, Issue 4
Effective Hamiltonian for the superconducting Cu oxides
journal, March 1988
- Zhang, F. C.; Rice, T. M.
- Physical Review B, Vol. 37, Issue 7
Signatures of tunable superconductivity in a trilayer graphene moiré superlattice
journal, July 2019
- Chen, Guorui; Sharpe, Aaron L.; Gallagher, Patrick
- Nature, Vol. 572, Issue 7768
Doping a Mott insulator: Physics of high-temperature superconductivity
journal, January 2006
- Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang
- Reviews of Modern Physics, Vol. 78, Issue 1
Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states
journal, April 2010
- Corboz, Philippe; Orús, Román; Bauer, Bela
- Physical Review B, Vol. 81, Issue 16
Zero-bias peaks and splitting in an Al–InAs nanowire topological superconductor as a signature of Majorana fermions
journal, November 2012
- Das, Anindya; Ronen, Yuval; Most, Yonatan
- Nature Physics, Vol. 8, Issue 12
Long-range magnetic order in a purely organic 2D layer adsorbed on epitaxial graphene
journal, April 2013
- Garnica, Manuela; Stradi, Daniele; Barja, Sara
- Nature Physics, Vol. 9, Issue 6
The Resonating Valence Bond State in La2CuO4 and Superconductivity
journal, March 1987
- Anderson, P. W.
- Science, Vol. 235, Issue 4793
Observation of Self-Binding in Monolayer
journal, December 2012
- Sato, D.; Naruse, K.; Matsui, T.
- Physical Review Letters, Vol. 109, Issue 23
Phases of the Infinite Hubbard Model on Square Lattices
journal, March 2012
- Liu, Li; Yao, Hong; Berg, Erez
- Physical Review Letters, Vol. 108, Issue 12
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.