Electron-phonon coupling and superconductivity in the doped topological crystalline insulator (Pb0.5Sn0.5)1–xInxTe

Sapkota, A.; Li, Y.; Winn, B. L.; Podlesnyak, A.; Xu, Guangyong; Xu, Zhijun; Ran, Kejing; Chen, Tong; Sun, Jian; Wen, Jinsheng; Wu, Lihua; Yang, Jihui; Li, Qiang; Gu, G. D.; Tranquada, J. M.

doi:10.1103/physrevb.102.104511

Title: Electron-phonon coupling and superconductivity in the doped topological crystalline insulator ${({Pb}_{0.5} {Sn}_{0.5})}_{1 - x} {In}_{x} Te$

Abstract

We present a neutron-scattering study of phonons in single crystals of (Pb0.5Sn0.5)1-xInxTe with x=0 (metallic, but nonsuperconducting) and x=0.2 (nonmetallic normal state, but superconducting). We map the phonon dispersions (more completely for x=0) and find general consistency with theoretical calculations, except for the transverse and longitudinal optical (LO) modes at the Brillouin-zone center. At low temperature, both modes are strongly damped but sit at a finite energy (≈4meV in both samples), shifting to higher energy at room temperature. These modes are soft due to a proximate structural instability driven by the sensitivity of Pb-Te and Sn-Te p-orbital hybridization to off-center displacements of the metal atoms. The impact of the soft optical modes on the low-energy acoustic modes is inferred from the low thermal conductivity, especially at low temperature. Given that the strongest electron-phonon coupling is predicted for the LO mode, which should be similar for both studied compositions, it is intriguing that only the In-doped crystal is superconducting. In addition, we observe elastic diffuse (Huang) scattering that is qualitatively explained by the difference in Pb-Te and Sn-Te bond lengths within the lattice of randomly distributed Pb and Sn sites. We also confirm the presence of anomalous diffuse low-energy atomic vibrationsmore »« less

Authors:

^[1]; Li, Y. ^[1]; Winn, B. L. ^[2];

^[2]; Xu, Guangyong ^[3]; Xu, Zhijun ^[4]; Ran, Kejing ^[5]; Chen, Tong ^[6];

^[6]; Wen, Jinsheng ^[6];

^[7]; Yang, Jihui ^[7]; Li, Qiang ^[1]; Gu, G. D. ^[1];

^[1]

Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Dept.
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Neutron Scattering Division
National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States). Center for Neutron Research
National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States). Center for Neutron Research; Univ. of Maryland, College Park, MD (United States)
ShanghaiTech Univ. (China). School of Physical Science and Technology
Nanjing Univ. (China)
Univ. of Washington, Seattle, WA (United States)

Publication Date:: Wed Sep 23 00:00:00 EDT 2020

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Foundation of China (NSFC); Natural Science Foundation of Jiangsu Province; National Science Foundation (NSF)

OSTI Identifier:: 1677658

Alternate Identifier(s):: OSTI ID: 1797627

Report Number(s):: BNL-219950-2020-JAAM
Journal ID: ISSN 2469-9950; TRN: US2204014

Grant/Contract Number:: SC0012704; 11822405; 11674157; BK20180006; 1915933; AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 102; Journal Issue: 10; 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; electron-phonon coupling; lattice dynamics; phonons; superconductivity; thermal conductivity; inelastic neutron scattering

Citation Formats


                    Sapkota, A., Li, Y., Winn, B. L., Podlesnyak, A., Xu, Guangyong, Xu, Zhijun, Ran, Kejing, Chen, Tong, Sun, Jian, Wen, Jinsheng, Wu, Lihua, Yang, Jihui, Li, Qiang, Gu, G. D., and Tranquada, J. M. Electron-phonon coupling and superconductivity in the doped topological crystalline insulator (Pb0.5Sn0.5)1–xInxTe.  United States: N. p., 2020. 
Web.  doi:10.1103/physrevb.102.104511.

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                    Sapkota, A., Li, Y., Winn, B. L., Podlesnyak, A., Xu, Guangyong, Xu, Zhijun, Ran, Kejing, Chen, Tong, Sun, Jian, Wen, Jinsheng, Wu, Lihua, Yang, Jihui, Li, Qiang, Gu, G. D., & Tranquada, J. M. Electron-phonon coupling and superconductivity in the doped topological crystalline insulator (Pb0.5Sn0.5)1–xInxTe.  United States.  https://doi.org/10.1103/physrevb.102.104511

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                    Sapkota, A., Li, Y., Winn, B. L., Podlesnyak, A., Xu, Guangyong, Xu, Zhijun, Ran, Kejing, Chen, Tong, Sun, Jian, Wen, Jinsheng, Wu, Lihua, Yang, Jihui, Li, Qiang, Gu, G. D., and Tranquada, J. M. Wed .  
"Electron-phonon coupling and superconductivity in the doped topological crystalline insulator (Pb0.5Sn0.5)1–xInxTe".  United States.  https://doi.org/10.1103/physrevb.102.104511.  https://www.osti.gov/servlets/purl/1677658.

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@article{osti_1677658,

  title        = {Electron-phonon coupling and superconductivity in the doped topological crystalline insulator (Pb0.5Sn0.5)1–xInxTe},

  author       = {Sapkota, A. and Li, Y. and Winn, B. L. and Podlesnyak, A. and Xu, Guangyong and Xu, Zhijun and Ran, Kejing and Chen, Tong and Sun, Jian and Wen, Jinsheng and Wu, Lihua and Yang, Jihui and Li, Qiang and Gu, G. D. and Tranquada, J. M.},

  abstractNote = {We present a neutron-scattering study of phonons in single crystals of (Pb0.5Sn0.5)1-xInxTe with x=0 (metallic, but nonsuperconducting) and x=0.2 (nonmetallic normal state, but superconducting). We map the phonon dispersions (more completely for x=0) and find general consistency with theoretical calculations, except for the transverse and longitudinal optical (LO) modes at the Brillouin-zone center. At low temperature, both modes are strongly damped but sit at a finite energy (≈4meV in both samples), shifting to higher energy at room temperature. These modes are soft due to a proximate structural instability driven by the sensitivity of Pb-Te and Sn-Te p-orbital hybridization to off-center displacements of the metal atoms. The impact of the soft optical modes on the low-energy acoustic modes is inferred from the low thermal conductivity, especially at low temperature. Given that the strongest electron-phonon coupling is predicted for the LO mode, which should be similar for both studied compositions, it is intriguing that only the In-doped crystal is superconducting. In addition, we observe elastic diffuse (Huang) scattering that is qualitatively explained by the difference in Pb-Te and Sn-Te bond lengths within the lattice of randomly distributed Pb and Sn sites. We also confirm the presence of anomalous diffuse low-energy atomic vibrations that we speculatively attribute to local fluctuations of individual Pb atoms between off-center sites.},

  doi          = {10.1103/physrevb.102.104511},

  journal      = {Physical Review B},

  number       = 10,

  volume       = 102,

  place        = {United States},

  year         = {Wed Sep 23 00:00:00 EDT 2020},

  month        = {Wed Sep 23 00:00:00 EDT 2020}

}

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Journal Article Wang, Jinghui ; Zhong, Ruidan ; Li, Shichao ; ... - Physical Review. B, Condensed Matter and Materials Physics

In this study, we have performed systematic resistivity and inelastic neutron scattering measurements on Fe_0.98-zNi_zTe_0.5Se_0.5 samples to study the impact of Ni substitution on the transport properties and the low-energy (≤12meV) magnetic excitations. It is found that, with increasing Ni doping, both the conductivity and superconductivity are gradually suppressed; in contrast, the low-energy magnetic spectral weight changes little. Comparing with the impact of Co and Cu substitution, we find that the effects on conductivity and superconductivity for the same degree of substitution grow systematically as the atomic number of the substituent deviates from that of Fe. The impact of themore »« less
Cited by 7
https://doi.org/10.1103/PhysRevB.91.014501

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Low-energy phonons and superconductivity in ${Sn}_{0.8} {In}_{0.2} Te$

Journal Article Xu, Zhijun ; Schneeloch, J. A. ; Zhong, R. D. ; ... - Physical Review. B, Condensed Matter and Materials Physics

Herein we present neutron scattering measurements on low-energy phonons from a superconductingmore »« less
Cited by 5
https://doi.org/10.1103/PhysRevB.91.054522

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Title: Electron-phonon coupling and superconductivity in the doped topological crystalline insulator ( Pb 0.5 Sn 0.5 ) 1 – x In x Te

Abstract

Citation Formats

Strong anharmonicity in the phonon spectra of PbTe and SnTe from first principles journal, January 2018

Hole superconductivity journal, January 1989

Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe journal, January 2012

Evidence for Charge Kondo Effect in Superconducting Tl-Doped PbTe journal, April 2005

Ab initio relativistic pseudopotential study of the zero-temperature structural properties of SnTe and PbTe journal, August 1985

Correlated local dipoles in PbTe journal, August 2018

Anomalous Lattice Dynamics near the Ferroelectric Instability in PbTe journal, October 2011

Computation of topological phase diagram of disordered Pb 1 − x Sn x Te using the kernel polynomial method journal, February 2020

Microscopic characterization of the superconducting gap function in Sn 1 − x In x Te journal, January 2020

Element-selective resonant state in M-doped SnTe (M = Ga, In, and Tl) journal, January 2016

Alloy broadening of the transition to the nontrivial topological phase of Pb 1 − x Sn x Te journal, September 2018

Diatomic Ferroelectrics journal, October 1966

Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials journal, March 2015

Structure of the intermediate phase of PbTe at high pressure journal, June 2005

Superconductivity induced by In substitution into the topological crystalline insulator Pb 0.5 Sn 0.5 Te journal, July 2014

Topological Crystalline Insulators journal, March 2011

Spontaneous decay of a soft optical phonon in the relaxor ferroelectric PbMg 1 / 3 Nb 2 / 3 O 3 journal, February 2018

Entropically Stabilized Local Dipole Formation in Lead Chalcogenides journal, December 2010

First-principles indicators of metallicity and cation off-centricity in the IV-VI rocksalt chalcogenides of divalent Ge, Sn, and Pb journal, March 2003

Local structure of ionic solid solutions: Extended x-ray-absorption fine-structure study journal, May 1985

The infrared effective charge in IV-VI compounds. I. A simple one-dimensional model journal, November 1979

Surface-state-dominated transport in crystals of the topological crystalline insulator In-doped Pb 1 − x Sn x Te journal, May 2015

Virtual crystal approximation revisited: Application to dielectric and piezoelectric properties of perovskites journal, March 2000

The lattice dynamics of tin telluride journal, November 1969

What T tells journal, July 2015

EXAFS studies of the local environment of lead and selenium atoms in PbTe1−x Sex solid solutions journal, August 1999

Missing valence states, diamagnetic insulators, and superconductors journal, December 1988

Lattice dynamics reveals a local symmetry breaking in the emergent dipole phase of PbTe journal, August 2012

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

Low-energy phonons and superconductivity in Sn 0.8 In 0.2 Te journal, February 2015

The new cold neutron chopper spectrometer at the Spallation Neutron Source: Design and performance journal, August 2011

The cold neutron chopper spectrometer at the Spallation Neutron Source—A review of the first 8 years of operation journal, September 2016

First-Principles Approach to Nonlinear Lattice Dynamics: Anomalous Spectra in PbTe journal, September 2014

Horace : Software for the analysis of data from single crystal spectroscopy experiments at time-of-flight neutron instruments journal, October 2016

Fully gapped superconductivity in In-doped topological crystalline insulator Pb 0.5 Sn 0.5 Te journal, July 2015

Superconductivity of (Sn1−z Pbz)1−x InxTe alloys journal, October 2001

Evidence of Incoherent Carriers Associated with Resonant Impurity Levels and Their Influence on Superconductivity in the Anomalous Superconductor Pb 1 − x Tl x Te journal, November 2018

Phonon Self-Energy and Origin of Anomalous Neutron Scattering Spectra in SnTe and PbTe Thermoelectrics journal, April 2014

Transition temperature of strong-coupled superconductors reanalyzed journal, August 1975

Inelastic x-ray investigation of the ferroelectric transition in SnTe journal, April 2017

Giant anharmonic phonon scattering in PbTe journal, June 2011

DAVE: A Comprehensive Software Suite for the Reduction, Visualization, and Analysis of Low Energy Neutron Spectroscopic Data journal, November 2009

Soft Phonon Anomalies in the Relaxor Ferroelectric Pb ( Zn 1 / 3 Nb 2 / 3 ) 0.92 Ti 0.08 O 3 journal, May 2000

Electron and hole contributions to normal-state transport in the superconducting system Sn 1 − x In x Te journal, August 2018

Thermal Transport and Phonon Hydrodynamics in Strontium Titanate journal, March 2018

Phonons and related crystal properties from density-functional perturbation theory journal, July 2001

X-ray diffraction effects of atomic size in alloys. II journal, April 1959

Lattice instability and phonon lifetimes in Pb 1-x Sn x Te alloys journal, April 1978

Dynamic Hubbard model: kinetic energy driven charge expulsion, charge inhomogeneity, hole superconductivity and Meissner effect journal, August 2013

Pseudogap crossover in the electron-phonon system journal, May 2019

Experimental Observation of Dirac-like Surface States and Topological Phase Transition in Pb 1 − x Sn x Te ( 111 ) Films journal, May 2014

Experimental realization of a topological crystalline insulator in SnTe journal, September 2012

Intrinsically Minimal Thermal Conductivity in Cubic I−V−VI2 Semiconductors journal, July 2008

Optimizing the superconducting transition temperature and upper critical field of Sn 1 − x In x Te journal, July 2013

The unreasonable effectiveness of Eliashberg theory for pairing of non-Fermi liquids journal, June 2020

Indium Substitution Effect on the Topological Crystalline Insulator Family (Pb1−xSnx)1−yInyTe: Topological and Superconducting Properties journal, February 2017

Spin-Orbit Locking as a Protection Mechanism of the Odd-Parity Superconducting State against Disorder journal, October 2012

Cooper pairing of incoherent electrons: An electron-phonon version of the Sachdev-Ye-Kitaev model journal, September 2019

Carrier-Concentration-Dependent Superconductivity in SnTe and GeTe journal, January 1969

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

Tunability of the k -space location of the Dirac cones in the topological crystalline insulator Pb 1 − x Sn x Te journal, April 2013

Anomalous thermoelectric power and polaronic transport in the vicinity of topological phase transition of Pb1-xSnxTe journal, March 2019

Designing band engineering for thermoelectrics starting from the periodic table of elements journal, December 2018

Ultrahigh power factor and thermoelectric performance in hole-doped single-crystal SnSe journal, November 2015

Scattering of X-rays by defect structures journal, March 1956

Neutron scattering study of spin ordering and stripe pinning in superconducting La 1.93 Sr 0.07 CuO 4 journal, November 2015

Title: Electron-phonon coupling and superconductivity in the doped topological crystalline insulator ${({Pb}_{0.5} {Sn}_{0.5})}_{1 - x} {In}_{x} Te$

Strong anharmonicity in the phonon spectra of PbTe and SnTe from first principles
journal, January 2018

Hole superconductivity
journal, January 1989

Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe
journal, January 2012

Evidence for Charge Kondo Effect in Superconducting Tl-Doped PbTe
journal, April 2005

Ab initio relativistic pseudopotential study of the zero-temperature structural properties of SnTe and PbTe
journal, August 1985

Correlated local dipoles in PbTe
journal, August 2018

Anomalous Lattice Dynamics near the Ferroelectric Instability in PbTe
journal, October 2011

Computation of topological phase diagram of disordered ${Pb}_{1 - x} {Sn}_{x} Te$ using the kernel polynomial method
journal, February 2020

Microscopic characterization of the superconducting gap function in ${Sn}_{1 - x} {In}_{x} Te$
journal, January 2020

Element-selective resonant state in M-doped SnTe (M = Ga, In, and Tl)
journal, January 2016

Alloy broadening of the transition to the nontrivial topological phase of ${Pb}_{1 - x} {Sn}_{x} Te$
journal, September 2018

Diatomic Ferroelectrics
journal, October 1966

Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
journal, March 2015

Structure of the intermediate phase of PbTe at high pressure
journal, June 2005

Superconductivity induced by In substitution into the topological crystalline insulator ${Pb}_{0.5}$ ${Sn}_{0.5} Te$
journal, July 2014

Topological Crystalline Insulators
journal, March 2011

Spontaneous decay of a soft optical phonon in the relaxor ferroelectric ${PbMg}_{1 / 3} {Nb}_{2 / 3} O_{3}$
journal, February 2018

Entropically Stabilized Local Dipole Formation in Lead Chalcogenides
journal, December 2010

First-principles indicators of metallicity and cation off-centricity in the IV-VI rocksalt chalcogenides of divalent Ge, Sn, and Pb
journal, March 2003

Local structure of ionic solid solutions: Extended x-ray-absorption fine-structure study
journal, May 1985

The infrared effective charge in IV-VI compounds. I. A simple one-dimensional model
journal, November 1979

Surface-state-dominated transport in crystals of the topological crystalline insulator In-doped ${Pb}_{1 - x} {Sn}_{x} Te$
journal, May 2015

Virtual crystal approximation revisited: Application to dielectric and piezoelectric properties of perovskites
journal, March 2000

The lattice dynamics of tin telluride
journal, November 1969

What T tells
journal, July 2015

EXAFS studies of the local environment of lead and selenium atoms in PbTe1−x Sex solid solutions
journal, August 1999

Missing valence states, diamagnetic insulators, and superconductors
journal, December 1988

Lattice dynamics reveals a local symmetry breaking in the emergent dipole phase of PbTe
journal, August 2012

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

Low-energy phonons and superconductivity in ${Sn}_{0.8} {In}_{0.2} Te$
journal, February 2015

The new cold neutron chopper spectrometer at the Spallation Neutron Source: Design and performance
journal, August 2011

The cold neutron chopper spectrometer at the Spallation Neutron Source—A review of the first 8 years of operation
journal, September 2016

First-Principles Approach to Nonlinear Lattice Dynamics: Anomalous Spectra in PbTe
journal, September 2014

Horace : Software for the analysis of data from single crystal spectroscopy experiments at time-of-flight neutron instruments
journal, October 2016

Fully gapped superconductivity in In-doped topological crystalline insulator ${Pb}_{0.5} {Sn}_{0.5} Te$
journal, July 2015

Superconductivity of (Sn1−z Pbz)1−x InxTe alloys
journal, October 2001

Evidence of Incoherent Carriers Associated with Resonant Impurity Levels and Their Influence on Superconductivity in the Anomalous Superconductor ${Pb}_{1 - x} {Tl}_{x} Te$
journal, November 2018

Phonon Self-Energy and Origin of Anomalous Neutron Scattering Spectra in SnTe and PbTe Thermoelectrics
journal, April 2014

Transition temperature of strong-coupled superconductors reanalyzed
journal, August 1975

Inelastic x-ray investigation of the ferroelectric transition in SnTe
journal, April 2017

Giant anharmonic phonon scattering in PbTe
journal, June 2011

DAVE: A Comprehensive Software Suite for the Reduction, Visualization, and Analysis of Low Energy Neutron Spectroscopic Data
journal, November 2009

Soft Phonon Anomalies in the Relaxor Ferroelectric $Pb ({Zn}_{1 / 3} {Nb}_{2 / 3})_{0.92} {Ti}_{0.08} O_{3}$
journal, May 2000

Electron and hole contributions to normal-state transport in the superconducting system ${Sn}_{1 - x} {In}_{x} Te$
journal, August 2018

Thermal Transport and Phonon Hydrodynamics in Strontium Titanate
journal, March 2018

Phonons and related crystal properties from density-functional perturbation theory
journal, July 2001

X-ray diffraction effects of atomic size in alloys. II
journal, April 1959

Lattice instability and phonon lifetimes in Pb _1-x Sn _x Te alloys
journal, April 1978

Dynamic Hubbard model: kinetic energy driven charge expulsion, charge inhomogeneity, hole superconductivity and Meissner effect
journal, August 2013

Pseudogap crossover in the electron-phonon system
journal, May 2019

Experimental Observation of Dirac-like Surface States and Topological Phase Transition in ${Pb}_{1 - x} {Sn}_{x} Te (111)$ Films
journal, May 2014

Experimental realization of a topological crystalline insulator in SnTe
journal, September 2012

Intrinsically Minimal Thermal Conductivity in Cubic $I − V − {VI}_{2}$ Semiconductors
journal, July 2008

Optimizing the superconducting transition temperature and upper critical field of Sn $_{1 - x}$ In $_{x}$ Te
journal, July 2013

The unreasonable effectiveness of Eliashberg theory for pairing of non-Fermi liquids
journal, June 2020

Indium Substitution Effect on the Topological Crystalline Insulator Family (Pb1−xSnx)1−yInyTe: Topological and Superconducting Properties
journal, February 2017

Spin-Orbit Locking as a Protection Mechanism of the Odd-Parity Superconducting State against Disorder
journal, October 2012

Cooper pairing of incoherent electrons: An electron-phonon version of the Sachdev-Ye-Kitaev model
journal, September 2019

Carrier-Concentration-Dependent Superconductivity in SnTe and GeTe
journal, January 1969

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

Tunability of the $k$ -space location of the Dirac cones in the topological crystalline insulator Pb $_{1 - x}$ Sn $_{x}$ Te
journal, April 2013

Anomalous thermoelectric power and polaronic transport in the vicinity of topological phase transition of Pb1-xSnxTe
journal, March 2019

Designing band engineering for thermoelectrics starting from the periodic table of elements
journal, December 2018

Ultrahigh power factor and thermoelectric performance in hole-doped single-crystal SnSe
journal, November 2015

Scattering of X-rays by defect structures
journal, March 1956

Neutron scattering study of spin ordering and stripe pinning in superconducting ${La}_{1.93} {Sr}_{0.07} {CuO}_{4}$
journal, November 2015