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

Title: Moiré superconductivity

Abstract

Recently, superconductivity was discovered at very low densities in slightly misaligned graphene multilayers. Surprisingly, despite extremely low electronic density (about 10–4 electrons per unit cell), these systems realize strong-coupling superconductivity, with the transition temperature being a large fraction of the Fermi energy $$(T_C ~ 0.1_{ϵ_{F}})$$. In this work, we propose a qualitative explanation for this remarkable phenomenon, highlighting similarities and qualitative differences with the conventional uniform high-density superconductivity. Most importantly, we find that periodic superimposed potential generically enhances local interactions relative to nonlocal (for instance, Coulomb) interactions. In addition, the density of states is enhanced as well, exponentially in modulation strength for low lying bands in some cases. Combination of these two effects makes moiré systems natural intermediate or strong-coupled superconductors, with potential for very high transition temperatures.

Authors:
ORCiD logo [1]
  1. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
OSTI Identifier:
1633731
Alternate Identifier(s):
OSTI ID: 1631370
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Annals of Physics
Additional Journal Information:
Journal Volume: 417; Journal ID: ISSN 0003-4916
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Martin, Ivar. Moiré superconductivity. United States: N. p., 2020. Web. doi:10.1016/j.aop.2020.168118.
Martin, Ivar. Moiré superconductivity. United States. https://doi.org/10.1016/j.aop.2020.168118
Martin, Ivar. Sat . "Moiré superconductivity". United States. https://doi.org/10.1016/j.aop.2020.168118. https://www.osti.gov/servlets/purl/1633731.
@article{osti_1633731,
title = {Moiré superconductivity},
author = {Martin, Ivar},
abstractNote = {Recently, superconductivity was discovered at very low densities in slightly misaligned graphene multilayers. Surprisingly, despite extremely low electronic density (about 10–4 electrons per unit cell), these systems realize strong-coupling superconductivity, with the transition temperature being a large fraction of the Fermi energy $(T_C ~ 0.1_{ϵ_{F}})$. In this work, we propose a qualitative explanation for this remarkable phenomenon, highlighting similarities and qualitative differences with the conventional uniform high-density superconductivity. Most importantly, we find that periodic superimposed potential generically enhances local interactions relative to nonlocal (for instance, Coulomb) interactions. In addition, the density of states is enhanced as well, exponentially in modulation strength for low lying bands in some cases. Combination of these two effects makes moiré systems natural intermediate or strong-coupled superconductors, with potential for very high transition temperatures.},
doi = {10.1016/j.aop.2020.168118},
journal = {Annals of Physics},
number = ,
volume = 417,
place = {United States},
year = {Sat Feb 29 00:00:00 EST 2020},
month = {Sat Feb 29 00:00:00 EST 2020}
}

Journal Article:

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

BCS–BEC crossover: From high temperature superconductors to ultracold superfluids
journal, June 2005


Calculation of the Superconducting State Parameters with Retarded Electron-Phonon Interaction
journal, February 1962


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


Breakdown of the Migdal-Eliashberg theory in the strong-coupling adiabatic regime
journal, October 2001


A bound on the superconducting transition temperature
journal, November 2018


Breakdown of the Migdal-Eliashberg theory: A determinant quantum Monte Carlo study
journal, April 2018


Superconductivity in the elements, alloys and simple compounds
journal, July 2015

  • Webb, G. W.; Marsiglio, F.; Hirsch, J. E.
  • Physica C: Superconductivity and its Applications, Vol. 514
  • DOI: 10.1016/j.physc.2015.02.037

Studies of polaron motion
journal, November 1959


Theory of Superconductivity
journal, December 1957


High-Temperature Superconductivity in a Single Copper-Oxygen Plane
journal, October 2009


Superconductivity above 100 K in single-layer FeSe films on doped SrTiO3
journal, November 2014

  • Ge, Jian-Feng; Liu, Zhi-Long; Liu, Canhua
  • Nature Materials, Vol. 14, Issue 3
  • DOI: 10.1038/nmat4153

Interplay of Coulomb and electron-phonon interactions in graphene
journal, January 2008


Possibility of Synthesizing an Organic Superconductor
journal, June 1964


Holstein model in infinite dimensions
journal, September 1993


Local Electronic Properties of Graphene on a BN Substrate via Scanning Tunneling Microscopy
journal, June 2011

  • Decker, Régis; Wang, Yang; Brar, Victor W.
  • Nano Letters, Vol. 11, Issue 6
  • DOI: 10.1021/nl2005115

Moire bands in twisted double-layer graphene
journal, July 2011

  • Bistritzer, R.; MacDonald, A. H.
  • Proceedings of the National Academy of Sciences, Vol. 108, Issue 30
  • DOI: 10.1073/pnas.1108174108

Superconductivity at 250 K in lanthanum hydride under high pressures
journal, May 2019


Ordering, metastability and phase transitions in two-dimensional systems
journal, April 1973

  • Kosterlitz, J M; Thouless, D J
  • Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203
  • DOI: 10.1088/0022-3719/6/7/010

Hydrogen Dominant Metallic Alloys: High Temperature Superconductors?
journal, May 2004


Deep and resonance states in A IV B VI semiconductors
journal, January 1985


Model for the Electronic Structure of Amorphous Semiconductors
journal, April 1975


Charge-density waves versus superconductivity in the Holstein model with next-nearest-neighbor hopping
journal, July 1992


The Problem of High-Temperature Superconductivity. ii
journal, March 1970


The electronic properties of graphene
journal, January 2009

  • Castro Neto, A. H.; Guinea, F.; Peres, N. M. R.
  • Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162
  • DOI: 10.1103/RevModPhys.81.109

Universal Correlations between T c and n s m * (Carrier Density over Effective Mass) in High- T c Cuprate Superconductors
journal, May 1989


Importance of phase fluctuations in superconductors with small superfluid density
journal, March 1995

  • Emery, V. J.; Kivelson, S. A.
  • Nature, Vol. 374, Issue 6521
  • DOI: 10.1038/374434a0

Breakdown of Migdal–Eliashberg Theory via Catastrophic Vertex Divergence at Low Phonon Frequency
journal, February 2008


Transition Temperature of Strong-Coupled Superconductors
journal, March 1968


Superconductivity in the elements, alloys and simple compounds
text, January 2015