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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

Journal Article · · Physical Review B
ORCiD logo [1];  [1];  [2]; ORCiD logo [2];  [3];  [4];  [5];  [6]; ORCiD logo [6];  [6]; ORCiD logo [7];  [7];  [1];  [1]; ORCiD logo [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Dept.
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Neutron Scattering Division
  3. National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States). Center for Neutron Research
  4. National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States). Center for Neutron Research; Univ. of Maryland, College Park, MD (United States)
  5. ShanghaiTech Univ. (China). School of Physical Science and Technology
  6. Nanjing Univ. (China)
  7. Univ. of Washington, Seattle, WA (United States)

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.

Research Organization:
Brookhaven National Lab. (BNL), Upton, NY (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
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)
Grant/Contract Number:
SC0012704; 11822405; 11674157; BK20180006; 1915933; AC05-00OR22725
OSTI ID:
1677658
Alternate ID(s):
OSTI ID: 1797627
Report Number(s):
BNL-219950-2020-JAAM; TRN: US2204014
Journal Information:
Physical Review B, Vol. 102, Issue 10; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (66)

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
  • Ewings, R. A.; Buts, A.; Le, M. D.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 834 https://doi.org/10.1016/j.nima.2016.07.036
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
  • Azuah, Richard Tumanjong; Kneller, Larry R.; Qiu, Yiming
  • Journal of Research of the National Institute of Standards and Technology, Vol. 114, Issue 6 https://doi.org/10.6028/jres.114.025
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 IVVI2 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