skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on April 8, 2020

Title: Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene

Abstract

Nematic superconductors possess unconventional superconducting order parameters that spontaneously break rotational symmetry of the underlying crystal. In this work we propose a mechanism for nematic superconductivity stabilized by strong density wave fluctuations in two dimensions. While the weak-coupling theory finds the fully gapped chiral state to be energetically stable, we show that strong density wave fluctuations result in an additional contribution to the free energy of a superconductor with multicomponent order parameters, which generally favors nematic superconductivity. Finally, our theory sheds light on the recent observation of rotational symmetry breaking in the superconducting state of twisted bilayer graphene.

Authors:
 [1];  [1];  [2];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
  2. Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy, and Dept. of Chemistry
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1572812
Alternate Identifier(s):
OSTI ID: 1505668
Grant/Contract Number:  
AC02-05CH11231; SC0018945
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 14; 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

Citation Formats

Kozii, Vladyslav, Isobe, Hiroki, Venderbos, Jörn W. F., and Fu, Liang. Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene. United States: N. p., 2019. Web. doi:10.1103/physrevb.99.144507.
Kozii, Vladyslav, Isobe, Hiroki, Venderbos, Jörn W. F., & Fu, Liang. Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene. United States. doi:10.1103/physrevb.99.144507.
Kozii, Vladyslav, Isobe, Hiroki, Venderbos, Jörn W. F., and Fu, Liang. Mon . "Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene". United States. doi:10.1103/physrevb.99.144507.
@article{osti_1572812,
title = {Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene},
author = {Kozii, Vladyslav and Isobe, Hiroki and Venderbos, Jörn W. F. and Fu, Liang},
abstractNote = {Nematic superconductors possess unconventional superconducting order parameters that spontaneously break rotational symmetry of the underlying crystal. In this work we propose a mechanism for nematic superconductivity stabilized by strong density wave fluctuations in two dimensions. While the weak-coupling theory finds the fully gapped chiral state to be energetically stable, we show that strong density wave fluctuations result in an additional contribution to the free energy of a superconductor with multicomponent order parameters, which generally favors nematic superconductivity. Finally, our theory sheds light on the recent observation of rotational symmetry breaking in the superconducting state of twisted bilayer graphene.},
doi = {10.1103/physrevb.99.144507},
journal = {Physical Review B},
number = 14,
volume = 99,
place = {United States},
year = {2019},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on April 8, 2020
Publisher's Version of Record

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Nematicity as a Probe of Superconducting Pairing in Iron-Based Superconductors
journal, September 2013


Chiral superconductivity in thin films of doped Bi 2 Se 3
journal, July 2018


Superconductivity from weak repulsion in hexagonal lattice systems
journal, April 2014


Graphite, Graphene, and the Flat Band Superconductivity
journal, April 2018


Topological Superconductivity in Twisted Multilayer Graphene
journal, August 2018


Possible correlated insulating states in magic-angle twisted bilayer graphene under strongly competing interactions
journal, August 2018


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


Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
journal, January 2019


Thermodynamic evidence for nematic superconductivity in CuxBi2Se3
journal, October 2016

  • Yonezawa, Shingo; Tajiri, Kengo; Nakata, Suguru
  • Nature Physics, Vol. 13, Issue 2
  • DOI: 10.1038/nphys3907

Unconventional superconductivity in magic-angle graphene superlattices
journal, March 2018


Pressure dependence of the magic twist angle in graphene superlattices
journal, August 2018


Nanocalorimetric evidence for nematic superconductivity in the doped topological insulator Sr 0.1 Bi 2 Se 3
journal, November 2018


Odd-parity topological superconductor with nematic order: Application to Cu x Bi 2 Se 3
journal, September 2014


Anisotropic Superfluidity in He 3 : A Possible Interpretation of Its Stability as a Spin-Fluctuation Effect
journal, May 1973


Odd-Parity Topological Superconductors: Theory and Application to Cu x Bi 2 Se 3
journal, August 2010


A theoretical description of the new phases of liquid He 3
journal, April 1975


Singlet superconductivity enhanced by charge order in nested twisted bilayer graphene Fermi surfaces
journal, October 2018


Strong electron-phonon coupling, electron-hole asymmetry, and nonadiabaticity in magic-angle twisted bilayer graphene
journal, December 2018


Rotational symmetry breaking in the topological superconductor SrxBi2Se3 probed by upper-critical field experiments
journal, June 2016

  • Pan, Y.; Nikitin, A. M.; Araizi, G. K.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep28632

Theory of Phonon-Mediated Superconductivity in Twisted Bilayer Graphene
journal, December 2018


Electrostatic effects, band distortions, and superconductivity in twisted graphene bilayers
journal, December 2018

  • Guinea, Francisco; Walet, Niels R.
  • Proceedings of the National Academy of Sciences, Vol. 115, Issue 52
  • DOI: 10.1073/pnas.1810947115

Identification of nematic superconductivity from the upper critical field
journal, September 2016


Direct Visualization of the Nematic Superconductivity in Cu x Bi 2 Se 3
journal, November 2018


High-pressure study of the basal-plane anisotropy of the upper critical field of the topological superconductor Sr x Bi 2 Se 3
journal, October 2016


Possible Three-Dimensional Nematic Odd-Parity Superconductivity in Sr 2 RuO 4
journal, October 2018


Odd-parity superconductors with two-component order parameters: Nematic and chiral, full gap, and Majorana node
journal, November 2016


Spin-rotation symmetry breaking in the superconducting state of CuxBi2Se3
journal, May 2016

  • Matano, K.; Kriener, M.; Segawa, K.
  • Nature Physics, Vol. 12, Issue 9
  • DOI: 10.1038/nphys3781

Nematic topological superconducting phase in Nb-doped Bi2Se3
journal, October 2017


Robust odd-parity superconductivity in the doped topological insulator Nb x Bi 2 Se 3
journal, September 2017


Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
journal, December 2018


Stable topological superconductivity in a family of two-dimensional fermion models
journal, January 2010


Spin-fluctuation stabilization of anisotropic superfluid states
journal, December 1974


Magnetic impurity resonance states for different pairing symmetries in twisted bilayer graphene
journal, December 2018

  • Chen, Liang; Li, Hui-Zhen; Han, Rong-Sheng
  • Journal of Physics: Condensed Matter, Vol. 31, Issue 6
  • DOI: 10.1088/1361-648X/aaf626

Nematic and chiral superconductivity induced by odd-parity fluctuations
journal, October 2017


Muon spin rotation study of the topological superconductor Sr x Bi 2 Se 3
journal, February 2018


Vestigial nematic order and superconductivity in the doped topological insulator Cu x Bi2Se3
journal, May 2018


Doped Twisted Bilayer Graphene near Magic Angles: Proximity to Wigner Crystallization, Not Mott Insulation
journal, September 2018


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

Chiral Spin Density Wave and d + i d Superconductivity in the Magic-Angle-Twisted Bilayer Graphene
journal, November 2018


Rotational Symmetry Breaking in a Trigonal Superconductor Nb-doped Bi 2 Se 3
journal, January 2017


Nematic Skyrmions in Odd-Parity Superconductors
journal, October 2017


Superconductivity with Topological Surface State in Sr x Bi 2 Se 3
journal, August 2015

  • Liu, Zhongheng; Yao, Xiong; Shao, Jifeng
  • Journal of the American Chemical Society, Vol. 137, Issue 33
  • DOI: 10.1021/jacs.5b06815

Phases of a phenomenological model of twisted bilayer graphene
journal, August 2018


Electronic phases in twisted bilayer graphene at magic angles as a result of Van Hove singularities and interactions
journal, November 2018


Correlated insulator behaviour at half-filling in magic-angle graphene superlattices
journal, March 2018


Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene
journal, December 2018


Intertwined Vestigial Order in Quantum Materials: Nematicity and Beyond
journal, March 2019


Charge Inversion and Topological Phase Transition at a Twist Angle Induced van Hove Singularity of Bilayer Graphene
journal, July 2016


Tuning superconductivity in twisted bilayer graphene
journal, January 2019


Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene
journal, September 2018


Kohn-Luttinger superconductivity on two orbital honeycomb lattice
journal, December 2018


Spin-triplet f -wave pairing in twisted bilayer graphene near 1 4 -filling
journal, March 2019


Majorana Kramers pair in a nematic vortex
journal, June 2017


An increase in T under hydrostatic pressure in the superconducting doped topological insulator Nb0.25Bi2Se3
journal, December 2017