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

Title: Theory of criticality for quantum ferroelectric metals

Abstract

A variety of compounds, for example, doped paraelectrics and polar metals, exhibit both ferroelectricity and correlated electronic phenomena such as low-density superconductivity and anomalous transport. Characterizing such properties is tied to understanding the quantum dynamics of inversion symmetry breaking in the presence of itinerant electrons. Here, we present a comprehensive analysis of the properties of a metal near a quantum critical transition to a ferroelectric state, in both two and three dimensions. In this study, starting from a minimal model of electrons coupled to a transverse polar phonon via a Rashba-type spin-orbit interaction, we compute the dynamical response of both electrons and phonons. We find that the system can evince both Fermi and non-Fermi liquid phases, as well as enhanced pairing in both singlet and triplet channels. Furthermore, we systematically compute corrections to one-loop theory and find a tendency to quantum order-by-disorder, leading to a phase diagram that can include second-order, first-order, and finite-momentum phase transitions. Finally, we show that the entire phase diagram can be controlled via application of external strain, either compressive or volume-preserving. Our results provide a map of the dynamical and thermodynamical phase space of quantum ferroelectic metals, which can serve in characterizing existing materials andmore » in seeking applications for quantum technologies.« less

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]
  1. Weizmann Institute of Science, Rehovot (Israel)
  2. Carnegie Mellon Univ., Pittsburgh, PA (United States); Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
  3. Bar-Ilan Univ., Ramat Gan (Israel)
  4. Univ. of Minnesota, Minneapolis, MN (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
OSTI Identifier:
2234150
Grant/Contract Number:  
AC02-05CH11231; SC0016371; PHY-1607611
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B
Additional Journal Information:
Journal Volume: 107; Journal Issue: 16; 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; ferroelectricity; quantum criticality; superconductivity; strongly correlated systems; Fermi liquid theory

Citation Formats

Klein, Avraham, Kozii, Vladyslav, Ruhman, Jonathan, and Fernandes, Rafael M. Theory of criticality for quantum ferroelectric metals. United States: N. p., 2023. Web. doi:10.1103/physrevb.107.165110.
Klein, Avraham, Kozii, Vladyslav, Ruhman, Jonathan, & Fernandes, Rafael M. Theory of criticality for quantum ferroelectric metals. United States. https://doi.org/10.1103/physrevb.107.165110
Klein, Avraham, Kozii, Vladyslav, Ruhman, Jonathan, and Fernandes, Rafael M. Thu . "Theory of criticality for quantum ferroelectric metals". United States. https://doi.org/10.1103/physrevb.107.165110. https://www.osti.gov/servlets/purl/2234150.
@article{osti_2234150,
title = {Theory of criticality for quantum ferroelectric metals},
author = {Klein, Avraham and Kozii, Vladyslav and Ruhman, Jonathan and Fernandes, Rafael M.},
abstractNote = {A variety of compounds, for example, doped paraelectrics and polar metals, exhibit both ferroelectricity and correlated electronic phenomena such as low-density superconductivity and anomalous transport. Characterizing such properties is tied to understanding the quantum dynamics of inversion symmetry breaking in the presence of itinerant electrons. Here, we present a comprehensive analysis of the properties of a metal near a quantum critical transition to a ferroelectric state, in both two and three dimensions. In this study, starting from a minimal model of electrons coupled to a transverse polar phonon via a Rashba-type spin-orbit interaction, we compute the dynamical response of both electrons and phonons. We find that the system can evince both Fermi and non-Fermi liquid phases, as well as enhanced pairing in both singlet and triplet channels. Furthermore, we systematically compute corrections to one-loop theory and find a tendency to quantum order-by-disorder, leading to a phase diagram that can include second-order, first-order, and finite-momentum phase transitions. Finally, we show that the entire phase diagram can be controlled via application of external strain, either compressive or volume-preserving. Our results provide a map of the dynamical and thermodynamical phase space of quantum ferroelectic metals, which can serve in characterizing existing materials and in seeking applications for quantum technologies.},
doi = {10.1103/physrevb.107.165110},
journal = {Physical Review. B},
number = 16,
volume = 107,
place = {United States},
year = {Thu Apr 06 00:00:00 EDT 2023},
month = {Thu Apr 06 00:00:00 EDT 2023}
}

Works referenced in this record:

Enhanced superconductivity and ferroelectric quantum criticality in plastically deformed strontium titanate
journal, October 2021


Order-Disorder Ferroelectric Transition of Strained SrTiO 3
journal, August 2020


First-Order Superconducting Transition near a Ferromagnetic Quantum Critical Point
journal, February 2003

  • Chubukov, Andrey V.; Finkel’stein, Alexander M.; Haslinger, Robert
  • Physical Review Letters, Vol. 90, Issue 7
  • DOI: 10.1103/PhysRevLett.90.077002

Possible signatures of mixed-parity superconductivity in doped polar SrTi O 3 films
journal, March 2020


Type II superconducting parameters of Tl-doped PbTe determined from heat capacity and electronic transport measurements
journal, October 2006


Low-energy properties of fermions with singular interactions
journal, November 1994


Unusual nature of fully gapped superconductivity in In-doped SnTe
journal, October 2013


Crystal stability and the theory of ferroelectricity
journal, October 1960


Limits on dynamically generated spin-orbit coupling: Absence of l = 1 Pomeranchuk instabilities in metals
journal, March 2017


Isotope effect in superconducting n-doped SrTiO3
journal, November 2016

  • Stucky, A.; Scheerer, G. W.; Ren, Z.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep37582

Nonanalytic corrections to the Fermi-liquid behavior
journal, October 2003


Odd-Parity Superconductivity in the Vicinity of Inversion Symmetry Breaking in Spin-Orbit-Coupled Systems
journal, November 2015


Polar Nanodomains in a Ferroelectric Superconductor
journal, August 2020


Superconductivity at the Polar-Nonpolar Phase Boundary of SnP with an Unusual Valence State
journal, November 2017


Giant Grüneisen parameter in a superconducting quantum paraelectric
journal, June 2021


Prospects and applications near ferroelectric quantum phase transitions: a key issues review
journal, September 2017

  • Chandra, P.; Lonzarich, G. G.; Rowley, S. E.
  • Reports on Progress in Physics, Vol. 80, Issue 11
  • DOI: 10.1088/1361-6633/aa82d2

Metallic quantum ferromagnets
journal, May 2016


de Haas-van Alphen Effect and the Specific Heat of an Electron Gas
journal, September 1973


Cooper pairing in non-Fermi liquids
journal, March 2015


Superconductivity mediated by polar modes in ferroelectric metals
journal, September 2020

  • Enderlein, C.; de Oliveira, J. Ferreira; Tompsett, D. A.
  • Nature Communications, Vol. 11, Issue 1
  • DOI: 10.1038/s41467-020-18438-0

Theory of superconductivity due to Ngai's mechanism in lightly doped SrTiO 3
journal, December 2021


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


Superconductivity at low density near a ferroelectric quantum critical point: Doped SrTiO 3
journal, September 2018


Comment on “Superconductivity at low density near a ferroelectric quantum critical point: Doped SrTiO 3
journal, December 2019


Electric Polarization of Heteropolar Nanotubes as a Geometric Phase
journal, January 2002


Electronic structure and crystallography of MoTe 2 and WTe 2
journal, December 1987


Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
journal, September 2016

  • Deng, Ke; Wan, Guoliang; Deng, Peng
  • Nature Physics, Vol. 12, Issue 12
  • DOI: 10.1038/nphys3871

Quantum order-by-disorder driven phase reconstruction in the vicinity of ferromagnetic quantum critical points
journal, April 2012


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

Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems
journal, April 2016


Fermi-Liquid Theory and Pomeranchuk Instabilities: Fundamentals and New Developments
journal, November 2018

  • Chubukov, A. V.; Klein, A.; Maslov, D. L.
  • Journal of Experimental and Theoretical Physics, Vol. 127, Issue 5
  • DOI: 10.1134/S1063776118110122

Metallicity and Superconductivity in Doped Strontium Titanate
journal, March 2019


Tailoring the electrical properties of MoTe2 field effect transistor via chemical doping
journal, November 2019


Superconductivity in dilute SrTiO 3 : A review
journal, June 2020


Ferroelectric quantum criticality
journal, March 2014

  • Rowley, S. E.; Spalek, L. J.; Smith, R. P.
  • Nature Physics, Vol. 10, Issue 5
  • DOI: 10.1038/nphys2924

Anisotropic superconductivity mediated by ferroelectric fluctuations in cubic systems with spin-orbit coupling
journal, May 2020

  • Gastiasoro, Maria N.; Trevisan, Thaís V.; Fernandes, Rafael M.
  • Physical Review B, Vol. 101, Issue 17
  • DOI: 10.1103/PhysRevB.101.174501

The interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal
journal, June 2020


Topological crystalline insulators in the SnTe material class
journal, January 2012

  • Hsieh, Timothy H.; Lin, Hsin; Liu, Junwei
  • Nature Communications, Vol. 3, Article No. 982
  • DOI: 10.1038/ncomms1969

Superconductivity near a Ferroelectric Quantum Critical Point in Ultralow-Density Dirac Materials
journal, September 2019


Quantum-critical theory of the spin-fermion model and its application to cuprates: Normal state analysis
journal, March 2003


Multiple intertwined pairing states and temperature-sensitive gap anisotropy for superconductivity at a nematic quantum-critical point
journal, November 2019


Neutron Scattering and Nature of the Soft Optical Phonon in SrTiO 3
journal, February 1969

  • Yamada, Yasusada; Shirane, Gen
  • Journal of the Physical Society of Japan, Vol. 26, Issue 2
  • DOI: 10.1143/JPSJ.26.396

Nonanalytic behavior of the spin susceptibility in clean Fermi systems
journal, April 1997


Critical enhancement of thermopower in a chemically tuned polar semimetal MoTe 2
journal, November 2016

  • Sakai, Hideaki; Ikeura, Koji; Bahramy, Mohammad Saeed
  • Science Advances, Vol. 2, Issue 11
  • DOI: 10.1126/sciadv.1601378

Nature of the Quantum Phase Transition to a Spin-Nematic Phase
journal, March 2011


Unraveling a novel ferroelectric GeSe phase and its transformation into a topological crystalline insulator under high pressure
journal, September 2018


Theory of superconductivity mediated by Rashba coupling in incipient ferroelectrics
journal, June 2022

  • Gastiasoro, Maria N.; Temperini, Maria Eleonora; Barone, Paolo
  • Physical Review B, Vol. 105, Issue 22
  • DOI: 10.1103/PhysRevB.105.224503

Gauge Fields and Pairing in Double-Layer Composite Fermion Metals
journal, September 1996


Vibrational properties of single-wall nanotubes and monolayers of hexagonal BN
journal, December 2002


Superconductivity near a nematic quantum critical point: Interplay between hot and lukewarm regions
journal, December 2018


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


Quantum-critical Pairing with Varying Exponents
journal, July 2010


Review on ferroelectric/polar metals
journal, May 2020


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


Ward identities for strongly coupled Eliashberg theories
journal, August 2005


Soft Fermi Surfaces and Breakdown of Fermi-Liquid Behavior
journal, August 2003


Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition
journal, February 2009


Discovery of superconductivity in KTaO3 by electrostatic carrier doping
journal, May 2011

  • Ueno, K.; Nakamura, S.; Shimotani, H.
  • Nature Nanotechnology, Vol. 6, Issue 7
  • DOI: 10.1038/nnano.2011.78

Enhanced superconductivity close to a non-magnetic quantum critical point in electron-doped strontium titanate
journal, February 2019


Breakdown of Optical Phonons’ Splitting in Two-Dimensional Materials
journal, May 2017


Spin-phonon resonances in nearly polar metals with spin-orbit coupling
journal, March 2022


Collective modes near a Pomeranchuk instability in two dimensions
journal, November 2019


Superconductivity by long-range color magnetic interaction in high-density quark matter
journal, April 1999


Theory of superconductivity in doped quantum paraelectrics
journal, June 2022


Two-dimensional superconductivity and anisotropic transport at KTaO 3 (111) interfaces
journal, January 2021


Dielectric Constant in Perovskite Type Crystals
journal, April 1952


Quantum spin Hall effect in two-dimensional transition metal dichalcogenides
journal, November 2014


Superconductivity due to massless boson exchange in the strong-coupling limit
journal, November 2005


Ferromagnetism and Superconductivity in Uranium Compounds
journal, January 2012

  • Aoki, Dai; Flouquet, Jacques
  • Journal of the Physical Society of Japan, Vol. 81, Issue 1
  • DOI: 10.1143/JPSJ.81.011003

Unusual superconducting isotope effect in the presence of a quantum criticality
journal, May 2016


Quantum Order-by-Disorder in Strongly Correlated Metals
journal, March 2018


Observation of Fermi arcs in the type-II Weyl semimetal candidate WTe 2
journal, September 2016


Quantum critical behavior in itinerant electron systems: Eliashberg theory and instability of a ferromagnetic quantum critical point
journal, November 2006


Note on a Theorem of Bloch Concerning Possible Causes of Superconductivity
journal, February 1949


Phonon anomalies in SrTiO3in the quantum paraelectric regime
journal, January 1993


What drives nematic order in iron-based superconductors?
journal, January 2014

  • Fernandes, R. M.; Chubukov, A. V.; Schmalian, J.
  • Nature Physics, Vol. 10, Issue 2
  • DOI: 10.1038/nphys2877

Multiferroic quantum criticality
journal, December 2018


Phonon-mediated superconductivity in low carrier-density systems
journal, March 2019

  • Gastiasoro, Maria N.; Chubukov, Andrey V.; Fernandes, Rafael M.
  • Physical Review B, Vol. 99, Issue 9
  • DOI: 10.1103/PhysRevB.99.094524

Fermi liquid instabilities in the spin channel
journal, March 2007


SrTi O 3 : An intrinsic quantum paraelectric below 4 K
journal, April 1979


Superconductivity in Weyl semimetal candidate MoTe2
journal, March 2016

  • Qi, Yanpeng; Naumov, Pavel G.; Ali, Mazhar N.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms11038

‘Ferroelectric’ metals reexamined: fundamental mechanisms and design considerations for new materials
journal, January 2016

  • Benedek, Nicole A.; Birol, Turan
  • Journal of Materials Chemistry C, Vol. 4, Issue 18
  • DOI: 10.1039/C5TC03856A

Superconductivity near a Quantum-Critical Point: The Special Role of the First Matsubara Frequency
journal, October 2016


Signature of type-II Weyl semimetal phase in MoTe2
journal, January 2017

  • Jiang, J.; Liu, Z. K.; Sun, Y.
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms13973

Theory of the quantum paraelectric-ferroelectric transition
journal, January 2003


Superconductivity in uranium ferromagnets
journal, February 2017


Synergetic Ferroelectricity and Superconductivity in Zero-Density Dirac Semimetals near Quantum Criticality
journal, November 2022


Anisotropic resistivity and superconducting instability in ferroelectric metals
journal, September 2022


Ferromagnetic Quantum Critical Point in Noncentrosymmetric Systems
journal, April 2020


Semiconductor to metal transition in MoTe2
journal, August 1970


Strain Tuning of Ferroelectric Thin Films
journal, August 2007


Quasiparticle and Nonquasiparticle Transport in Doped Quantum Paraelectrics
journal, February 2021