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Title: Polaronic behavior in a weak-coupling superconductor

Abstract

We report the nature of superconductivity in the dilute semiconductor SrTiO3 has remained an open question for more than 50 y. The extremely low carrier densities (1018–1020 cm-3) at which superconductivity occurs suggest an unconventional origin of superconductivity outside of the adiabatic limit on which the Bardeen–Cooper–Schrieffer (BCS) and Migdal–Eliashberg (ME) theories are based. We take advantage of a newly developed method for engineering band alignments at oxide interfaces and access the electronic structure of Nb-doped SrTiO3, using high-resolution tunneling spectroscopy. We observe strong coupling to the highest-energy longitudinal optic (LO) phonon branch and estimate the doping evolution of the dimensionless electron–phonon interaction strength (λ). Upon cooling below the superconducting transition temperature (Tc), we observe a single superconducting gap corresponding to the weak-coupling limit of BCS theory, indicating an order of magnitude smaller coupling (λBCS≈0.1). These results suggest that despite the strong normal state interaction with electrons, the highest LO phonon does not provide a dominant contribution to pairing. Finally, they further demonstrate that SrTiO3 is an ideal system to probe superconductivity over a wide range of carrier density, adiabatic parameter, and electron–phonon coupling strength.

Authors:
 [1];  [1];  [2];  [3];  [4]; ORCiD logo [5];  [6];  [1]
  1. Stanford Univ., CA (United States). Department of Applied Physics and Geballe Laboratory for Advanced Materials; SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Sciences
  2. Stanford Univ., CA (United States). Department of Applied Physics and Geballe Laboratory for Advanced Materials
  3. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Sciences
  4. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Sciences; Stanford Univ., CA (United States). Dept. of Physics
  5. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Sciences; Stanford Univ., CA (United States). Geballe Laboratory for Advanced Materials
  6. Univ. of Tennessee, Knoxville, TN (United States). Department of Physics and Astronomy
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1426490
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Volume: 115; Journal Issue: 7; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences, Washington, DC (United States)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; superconductivity; electronic structure; polaron; oxide interface

Citation Formats

Swartz, Adrian G., Inoue, Hisashi, Merz, Tyler A., Hikita, Yasuyuki, Raghu, Srinivas, Devereaux, Thomas P., Johnston, Steven, and Hwang, Harold Y. Polaronic behavior in a weak-coupling superconductor. United States: N. p., 2018. Web. doi:10.1073/pnas.1713916115.
Swartz, Adrian G., Inoue, Hisashi, Merz, Tyler A., Hikita, Yasuyuki, Raghu, Srinivas, Devereaux, Thomas P., Johnston, Steven, & Hwang, Harold Y. Polaronic behavior in a weak-coupling superconductor. United States. https://doi.org/10.1073/pnas.1713916115
Swartz, Adrian G., Inoue, Hisashi, Merz, Tyler A., Hikita, Yasuyuki, Raghu, Srinivas, Devereaux, Thomas P., Johnston, Steven, and Hwang, Harold Y. Tue . "Polaronic behavior in a weak-coupling superconductor". United States. https://doi.org/10.1073/pnas.1713916115. https://www.osti.gov/servlets/purl/1426490.
@article{osti_1426490,
title = {Polaronic behavior in a weak-coupling superconductor},
author = {Swartz, Adrian G. and Inoue, Hisashi and Merz, Tyler A. and Hikita, Yasuyuki and Raghu, Srinivas and Devereaux, Thomas P. and Johnston, Steven and Hwang, Harold Y.},
abstractNote = {We report the nature of superconductivity in the dilute semiconductor SrTiO3 has remained an open question for more than 50 y. The extremely low carrier densities (1018–1020 cm-3) at which superconductivity occurs suggest an unconventional origin of superconductivity outside of the adiabatic limit on which the Bardeen–Cooper–Schrieffer (BCS) and Migdal–Eliashberg (ME) theories are based. We take advantage of a newly developed method for engineering band alignments at oxide interfaces and access the electronic structure of Nb-doped SrTiO3, using high-resolution tunneling spectroscopy. We observe strong coupling to the highest-energy longitudinal optic (LO) phonon branch and estimate the doping evolution of the dimensionless electron–phonon interaction strength (λ). Upon cooling below the superconducting transition temperature (Tc), we observe a single superconducting gap corresponding to the weak-coupling limit of BCS theory, indicating an order of magnitude smaller coupling (λBCS≈0.1). These results suggest that despite the strong normal state interaction with electrons, the highest LO phonon does not provide a dominant contribution to pairing. Finally, they further demonstrate that SrTiO3 is an ideal system to probe superconductivity over a wide range of carrier density, adiabatic parameter, and electron–phonon coupling strength.},
doi = {10.1073/pnas.1713916115},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 7,
volume = 115,
place = {United States},
year = {Tue Jan 30 00:00:00 EST 2018},
month = {Tue Jan 30 00:00:00 EST 2018}
}

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Cited by: 51 works
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Figures / Tables:

FIG. 1 FIG. 1: Dipole controlled interfaces for high resolution tunneling spectroscopy of Nb:SrTiO3. Schematic diagrams of the tunneling junction depicting: A, the atomic layer stacking with an interfacial LaAlO3 dipole layer which serves as the tunneling barrier; B, device measurement geometry; C-D, resulting band diagrams without and with the insertion ofmore » the interface dipole. E, Experimental conductance (di/dv) spectra in the normal state for three characteristic doping concentrations measured at T = 2 K.« less

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Works referenced in this record:

Tailoring the nature and strength of electron–phonon interactions in the SrTiO3(001) 2D electron liquid
journal, April 2016

  • Wang, Z.; McKeown Walker, S.; Tamai, A.
  • Nature Materials, Vol. 15, Issue 8
  • DOI: 10.1038/nmat4623

Critical Doping for the Onset of a Two-Band Superconducting Ground State in SrTiO 3 δ
journal, May 2014


Observation of a two-dimensional liquid of Fröhlich polarons at the bare SrTiO3 surface
journal, October 2015

  • Chen, Chaoyu; Avila, José; Frantzeskakis, Emmanouil
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms9585

Dielectric, infrared, and Raman response of undoped SrTiO 3 ceramics: Evidence of polar grain boundaries
journal, October 2001


Soft-Mode Superconductivity in SrTi O 3 x
journal, April 1969


Properties of boson-exchange superconductors
journal, October 1990


Theory of Superconductivity in Polar Semiconductors and Its Application to N-Type Semiconducting SrTiO 3
journal, October 1980

  • Takada, Yasutami
  • Journal of the Physical Society of Japan, Vol. 49, Issue 4
  • DOI: 10.1143/JPSJ.49.1267

Lead Phonon Spectrum Calculated from Superconducting Density of States
journal, January 1965


Enhanced Electrical Transparency by Ultrathin LaAlO 3 Insertion at Oxide Metal/Semiconductor Heterointerfaces
journal, February 2015

  • Yajima, Takeaki; Minohara, Makoto; Bell, Christopher
  • Nano Letters, Vol. 15, Issue 3
  • DOI: 10.1021/nl504169m

Electron tunneling in indium-SrTiO3: Nb Schottky barriers
journal, November 1969


Strong energy–momentum dispersion of phonon-dressed carriers in the lightly doped band insulator SrTiO 3
journal, February 2010


Empirical electron-phonon λ values from resistivity of cubic metallic elements
journal, August 1987


Local Measurement of the Eliashberg Function of Pb Islands: Enhancement of Electron-Phonon Coupling by Quantum Well States
journal, January 2015


Band Edge Engineering of Oxide Photoanodes for Photoelectrochemical Water Splitting: Integration of Subsurface Dipoles with Atomic-Scale Control
journal, January 2016

  • Hikita, Yasuyuki; Nishio, Kazunori; Seitz, Linsey C.
  • Advanced Energy Materials, Vol. 6, Issue 7
  • DOI: 10.1002/aenm.201502154

Superconductivity at very low density: The case of strontium titanate
journal, December 2016


Effective masses of electrons in n-type SrTiO3 determined from low-temperature specific heat capacities
journal, April 2007


Superconducting Transition Temperatures of Semiconducting SrTi O 3
journal, November 1967


A ferroelectric quantum phase transition inside the superconducting dome of Sr1−xCaxTiO3−δ
journal, April 2017

  • Rischau, Carl Willem; Lin, Xiao; Grams, Christoph P.
  • Nature Physics, Vol. 13, Issue 7
  • DOI: 10.1038/nphys4085

Accurate determination of the far-infrared dispersion in SrTi O 3 by hyper-Raman spectroscopy
journal, September 1981


Electric field control of the LaAlO3/SrTiO3 interface ground state
journal, December 2008

  • Caviglia, A. D.; Gariglio, S.; Reyren, N.
  • Nature, Vol. 456, Issue 7222
  • DOI: 10.1038/nature07576

Common Fermi-liquid origin of T 2 resistivity and superconductivity in n -type SrTiO 3
journal, November 2011


Two-band superconductivity in doped SrTiO 3 films and interfaces
journal, January 2013


The physics and chemistry of the Schottky barrier height
journal, January 2014


Structure and correlation effects in semiconducting SrTiO 3
journal, June 2010


Vanishing Hall Coefficient in the Extreme Quantum Limit in Photocarrier-Doped SrTiO 3
journal, August 2008


Electron-Phonon Interaction and Charge Carrier Mass Enhancement in SrTiO 3
journal, June 2008


Interfacial mode coupling as the origin of the enhancement of Tc in FeSe films on SrTiO3
journal, November 2014

  • Lee, J. J.; Schmitt, F. T.; Moore, R. G.
  • Nature, Vol. 515, Issue 7526
  • DOI: 10.1038/nature13894

Interface superconductor with gap behaviour like a high-temperature superconductor
journal, October 2013

  • Richter, C.; Boschker, H.; Dietsche, W.
  • Nature, Vol. 502, Issue 7472
  • DOI: 10.1038/nature12494

Superconductivity in Semiconducting SrTi O 3
journal, April 1964


Inelastic electron tunnelling spectroscopy
journal, March 1985


Two-Band Superconductivity in Nb-Doped SrTi O 3
journal, October 1980


Dual-Gate Modulation of Carrier Density and Disorder in an Oxide Two-Dimensional Electron System
journal, September 2016


Electron-phonon interactions from first principles
journal, February 2017


Direct Measurement of Quasiparticle-Lifetime Broadening in a Strong-Coupled Superconductor
journal, November 1978


Electronic Raman scattering in superconductors as a probe of anisotropic electron pairing
journal, June 1995


Quantum Critical Origin of the Superconducting Dome in SrTiO 3
journal, December 2015


Dominant Mobility Modulation by the Electric Field Effect at the LaAlO 3 / SrTiO 3 Interface
journal, November 2009


Multiband Superconductivity Due to the Electron–LO–Phonon Interaction in Strontium Titanate and on a SrTiO3/LaAlO3 Interface
journal, August 2016

  • Klimin, S. N.; Tempere, J.; Devreese, J. T.
  • Journal of Superconductivity and Novel Magnetism, Vol. 30, Issue 3
  • DOI: 10.1007/s10948-016-3664-2

Tuning Band Alignment Using Interface Dipoles at the Pt/Anatase TiO 2 Interface
journal, October 2015

  • Tachikawa, Takashi; Minohara, Makoto; Hikita, Yasuyuki
  • Advanced Materials, Vol. 27, Issue 45
  • DOI: 10.1002/adma.201503339

Visualizing the interfacial evolution from charge compensation to metallic screening across the manganite metal–insulator transition
journal, March 2014

  • Mundy, Julia A.; Hikita, Yasuyuki; Hidaka, Takeaki
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4464

Dramatic mobility enhancements in doped SrTiO3 thin films by defect management
journal, July 2010

  • Kozuka, Y.; Hikita, Y.; Bell, C.
  • Applied Physics Letters, Vol. 97, Issue 1
  • DOI: 10.1063/1.3457994

Two-dimensional normal-state quantum oscillations in a superconducting heterostructure
journal, November 2009

  • Kozuka, Y.; Kim, M.; Bell, C.
  • Nature, Vol. 462, Issue 7272, p. 487-490
  • DOI: 10.1038/nature08566

Superconductivity in doped semiconductors
journal, July 2015


Evidence for ubiquitous strong electron–phonon coupling in high-temperature superconductors
journal, August 2001

  • Lanzara, A.; Bogdanov, P. V.; Zhou, X. J.
  • Nature, Vol. 412, Issue 6846
  • DOI: 10.1038/35087518

Superconducting Interfaces Between Insulating Oxides
journal, August 2007


Direct imaging of the coexistence of ferromagnetism and superconductivity at the LaAlO3/SrTiO3 interface
journal, September 2011

  • Bert, Julie A.; Kalisky, Beena; Bell, Christopher
  • Nature Physics, Vol. 7, Issue 10, p. 767-771
  • DOI: 10.1038/nphys2079

Tunneling Spectroscopy in GaAs
journal, September 1967


Electron—phonon Coupling and the Superconducting Phase Diagram of the LaAlO3—SrTiO3 Interface
journal, July 2015

  • Boschker, Hans; Richter, Christoph; Fillis-Tsirakis, Evangelos
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep12309

Quantum Critical Origin of the Superconducting Dome in SrTiO₃
text, January 2015

  • Aschauer, Ulrich Johannes; Balatsky, Alexander V.; Spaldin, Nicola A.
  • American Physical Society
  • DOI: 10.7892/boris.85274

Inelastic electron tunnelling spectroscopy
journal, July 1983


Interfacial mode coupling as the origin of the enhancement of Tc in FeSe films on SrTiO3
text, January 2013


Superconductivity at very low density: the case of strontium titanate
text, January 2016


Works referencing / citing this record:

Superconductivity in SrTiO3: Dielectric Function Method for Non-Parabolic Bands
journal, January 2019

  • Klimin, S. N.; Tempere, J.; Devreese, J. T.
  • Journal of Superconductivity and Novel Magnetism, Vol. 32, Issue 9
  • DOI: 10.1007/s10948-019-5029-0

Crossover from lattice to plasmonic polarons of a spin-polarised electron gas in ferromagnetic EuO
journal, June 2018


Gap suppression at a Lifshitz transition in a multi-condensate superconductor
journal, May 2019


Inhomogeneous barrier heights at dipole-controlled SrRuO 3 /Nb:SrTiO 3 Schottky junctions
journal, November 2018

  • Yajima, T.; Minohara, M.; Bell, C.
  • Applied Physics Letters, Vol. 113, Issue 22
  • DOI: 10.1063/1.5052712

Enhancing superconductivity in SrTiO 3 films with strain
journal, April 2019


Crossover from lattice to plasmonic polarons of a spin-polarised electron gas in ferromagnetic EuO
text, January 2018


Crossover from lattice to plasmonic polarons of a spin-polarised electron gas in ferromagnetic EuO
journal, June 2018


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