Superconducting density of states and band structure at the surface of the candidate topological superconductor Au 2 Pb

Martín-Vega, Francisco; Herrera, Edwin; Wu, Beilun; Barrena, Víctor; Mompeán, Federico; García-Hernández, Mar; Canfield, Paul C.; Black-Schaffer, Annica M.; Baldoví, José J.; Guillamón, Isabel; Suderow, Hermann

doi:10.1103/PhysRevResearch.4.023241

Title: Superconducting density of states and band structure at the surface of the candidate topological superconductor ${Au}_{2} Pb$

Journal Article · Mon Jun 27 00:00:00 EDT 2022 · Physical Review Research

DOI:https://doi.org/10.1103/PhysRevResearch.4.023241· OSTI ID:1873965

;

; Mompeán, Federico;

; Canfield, Paul C.; Black-Schaffer, Annica M.;

;

We report the electronic band structure of Au₂Pb has a Dirac cone which gaps when undergoing a structural transition into a low temperature superconducting phase. This suggests that the superconducting phase (T_c = 1.1 K) might hold topological properties at the surface. Here we make Scanning Tunneling Microscopy experiments on the surface of superconducting Au₂Pb. We measure the superconducting gap and find a sizable superconducting density of states at the Fermi level. We discuss possible origins for this finding in terms of superconductivity induced into surface states.

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Research Organization:: Ames Laboratory (AMES), Ames, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Spanish Research State Agency; Comunidad de Madrid; European Research Council (ERC); Swedish Research Council (SRC); Marie Curie Fellowship; Generalitat Valenciana

Grant/Contract Number:: AC02-07CH11358; PID2020-114071RB-I00; FIS2017-84330-R; CEX2018-000805-M; RYC-2014-15093; MAT2017-87134-C2-2-R; S2013/MIT-2850; 679080; 2018-03488; H2020-MSCA-IF2016-751047; CDEIGENT/2019/022

OSTI ID:: 1873965

Alternate ID(s):: OSTI ID: 1874481

Report Number(s):: IS-J-10,835; PPRHAI; 023241

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Vol. 4 Journal Issue: 2; ISSN 2643-1564

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (72)

Superconductivity in topologically nontrivial material Au2Pb Xing, Ying; Wang, He; Li, Chao-Kai npj Quantum Materials, Vol. 1, Issue 1 https://doi.org/10.1038/npjquantmats.2016.5	journal	July 2016
Generalized Gradient Approximation Made Simple Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868 https://doi.org/10.1103/PhysRevLett.77.3865	journal	October 1996
Dirac materials Wehling, T. O.; Black-Schaffer, A. M.; Balatsky, A. V. Advances in Physics, Vol. 63, Issue 1 https://doi.org/10.1080/00018732.2014.927109	journal	January 2014
Dirac metal to topological metal transition at a structural phase change in ${Au}_{2} Pb$ and prediction of $Z_{2}$ topology for the superconductor Schoop, Leslie M.; Xie, Lilia S.; Chen, Ru Physical Review B, Vol. 91, Issue 21 https://doi.org/10.1103/PhysRevB.91.214517	journal	June 2015
Use of frit-disc crucibles for routine and exploratory solution growth of single crystalline samples Canfield, Paul C.; Kong, Tai; Kaluarachchi, Udhara S. Philosophical Magazine, Vol. 96, Issue 1 https://doi.org/10.1080/14786435.2015.1122248	journal	December 2015
Superconductivity on a Bi Square Net in LiBi Górnicka, Karolina; Gutowska, Sylwia; Winiarski, Michał J. Chemistry of Materials, Vol. 32, Issue 7 https://doi.org/10.1021/acs.chemmater.0c00179	journal	March 2020
Type-I superconductivity in ScGa $_{3}$ and LuGa $_{3}$ single crystals Svanidze, E.; Morosan, E. Physical Review B, Vol. 85, Issue 17 https://doi.org/10.1103/PhysRevB.85.174514	journal	May 2012
New materials physics Canfield, Paul C. Reports on Progress in Physics, Vol. 83, Issue 1 https://doi.org/10.1088/1361-6633/ab514b	journal	November 2019
Maximally localized Wannier functions: Theory and applications Marzari, Nicola; Mostofi, Arash A.; Yates, Jonathan R. Reviews of Modern Physics, Vol. 84, Issue 4 https://doi.org/10.1103/RevModPhys.84.1419	journal	October 2012
Electronic structure of the topological superconductor candidate ${Au}_{2} Pb$ Wu, Yun; Drachuck, Gil; Wang, Lin-Lin Physical Review B, Vol. 98, Issue 16 https://doi.org/10.1103/PhysRevB.98.161107	journal	October 2018
Superconductivity in the Surface State of Noble Metal Gold and its Fermi Level Tuning by EuS Dielectric Wei, Peng; Manna, Sujit; Eich, Marius Physical Review Letters, Vol. 122, Issue 24 https://doi.org/10.1103/PhysRevLett.122.247002	journal	June 2019
Simple scheme for surface-band calculations. II. The Green's function Lee, D. H.; Joannopoulos, J. D. Physical Review B, Vol. 23, Issue 10 https://doi.org/10.1103/PhysRevB.23.4997	journal	May 1981
Some new superconducting compounds Hamilton, D. C.; Raub, Ch. J.; Matthias, B. T. Journal of Physics and Chemistry of Solids, Vol. 26, Issue 3 https://doi.org/10.1016/0022-3697(65)90144-7	journal	March 1965
Emergence of topological superconductivity in doped topological Dirac semimetals under symmetry-lowering lattice distortions Cheon, Sangmo; Lee, Ki Hoon; Chung, Suk Bum Scientific Reports, Vol. 11, Issue 1 https://doi.org/10.1038/s41598-021-97982-1	journal	September 2021
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials Giannozzi, Paolo; Baroni, Stefano; Bonini, Nicola Journal of Physics: Condensed Matter, Vol. 21, Issue 39, Article No. 395502 https://doi.org/10.1088/0953-8984/21/39/395502	journal	September 2009
Type-I superconductivity in KBi ₂ single crystals Sun, Shanshan; Liu, Kai; Lei, Hechang Journal of Physics: Condensed Matter, Vol. 28, Issue 8 https://doi.org/10.1088/0953-8984/28/8/085701	journal	February 2016
Maximally localized generalized Wannier functions for composite energy bands Marzari, Nicola; Vanderbilt, David Physical Review B, Vol. 56, Issue 20 https://doi.org/10.1103/PhysRevB.56.12847	journal	November 1997
New directions in the pursuit of Majorana fermions in solid state systems Alicea, Jason Reports on Progress in Physics, Vol. 75, Issue 7 https://doi.org/10.1088/0034-4885/75/7/076501	journal	June 2012
Atomic-Scale Quasi-Particle Scattering Resonances in Bi2Sr2CaCu2O8+ Hudson, E. W. Science, Vol. 285, Issue 5424 https://doi.org/10.1126/science.285.5424.88	journal	July 1999
Superconductivity in ${TaSi}_{2}$ single crystals Gottlieb, U.; Lasjaunias, J. C.; Tholence, J. L. Physical Review B, Vol. 45, Issue 9 https://doi.org/10.1103/PhysRevB.45.4803	journal	March 1992
Geometry optimization in redundant internal coordinates Pulay, P.; Fogarasi, G. The Journal of Chemical Physics, Vol. 96, Issue 4 https://doi.org/10.1063/1.462844	journal	February 1992
Superconductivity in doped Dirac semimetals Hashimoto, Tatsuki; Kobayashi, Shingo; Tanaka, Yukio Physical Review B, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevB.94.014510	journal	July 2016
Levitation in Physics Brandt, E. H. Science, Vol. 243, Issue 4889 https://doi.org/10.1126/science.243.4889.349	journal	January 1989
Type-I superconductivity of the layered silver oxide ${Ag}_{5} {Pb}_{2} O_{6}$ Yonezawa, Shingo; Maeno, Yoshiteru Physical Review B, Vol. 72, Issue 18 https://doi.org/10.1103/PhysRevB.72.180504	journal	November 2005
A Comprehensive Investigation of Superconductor KBi2 via First-Principles Calculations Chen, Jianyong Journal of Superconductivity and Novel Magnetism, Vol. 31, Issue 5 https://doi.org/10.1007/s10948-017-4322-z	journal	September 2017
Potassium Concentration Dependence of the Superconductivity in the Potassium Graphite Intercalation Compounds Kobayashi, Mototada; Tsujikawa, Ikuji Journal of the Physical Society of Japan, Vol. 50, Issue 10 https://doi.org/10.1143/JPSJ.50.3245	journal	October 1981
Growth of single crystals from metallic fluxes Canfield, P. C.; Fisk, Z. Philosophical Magazine B, Vol. 65, Issue 6 https://doi.org/10.1080/13642819208215073	journal	June 1992
Topological Superconductivity in Dirac Semimetals Kobayashi, Shingo; Sato, Masatoshi Physical Review Letters, Vol. 115, Issue 18 https://doi.org/10.1103/PhysRevLett.115.187001	journal	October 2015
Superconductivity in the ternary rare-earth (Y, La, and Lu) compounds R ${Pd}_{2}$ ${Si}_{2}$ and R ${Rh}_{2}$ ${Si}_{2}$ Palstra, T. T. M.; Lu, G.; Menovsky, A. A. Physical Review B, Vol. 34, Issue 7 https://doi.org/10.1103/PhysRevB.34.4566	journal	October 1986
Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling Choy, T. -P.; Edge, J. M.; Akhmerov, A. R. Physical Review B, Vol. 84, Issue 19 https://doi.org/10.1103/PhysRevB.84.195442	journal	November 2011
Type-I superconductivity in the Dirac semimetal ${PdTe}_{2}$ Leng, H.; Paulsen, C.; Huang, Y. K. Physical Review B, Vol. 96, Issue 22 https://doi.org/10.1103/PhysRevB.96.220506	journal	December 2017
Type-I superconductivity in the noncentrosymmetric superconductor BeAu Singh, D.; Hillier, A. D.; Singh, R. P. Physical Review B, Vol. 99, Issue 13 https://doi.org/10.1103/PhysRevB.99.134509	journal	April 2019
Two-band superconductivity of bulk and surface states in Ag thin films on Nb Tomanic, Tihomir; Schackert, Michael; Wulfhekel, Wulf Physical Review B, Vol. 94, Issue 22 https://doi.org/10.1103/PhysRevB.94.220503	journal	December 2016
"Intermediate Mixed" State of Type-II Superconductors Aston, D. R.; Dubeck, L. W.; Rothwarf, F. Physical Review B, Vol. 3, Issue 7 https://doi.org/10.1103/PhysRevB.3.2231	journal	April 1971
Catalogue of topological electronic materials Zhang, Tiantian; Jiang, Yi; Song, Zhida Nature, Vol. 566, Issue 7745 https://doi.org/10.1038/s41586-019-0944-6	journal	February 2019
Electronic band structure and superconducting properties of SnAs Bezotosnyi, P. I.; Dmitrieva, K. A.; Sadakov, A. V. Physical Review B, Vol. 100, Issue 18 https://doi.org/10.1103/PhysRevB.100.184514	journal	November 2019
Influence of multiband sign-changing superconductivity on vortex cores and vortex pinning in stoichiometric high- $T_{c} {CaKFe}_{4} {As}_{4}$ Fente, Antón; Meier, William R.; Kong, Tai Physical Review B, Vol. 97, Issue 13 https://doi.org/10.1103/PhysRevB.97.134501	journal	April 2018
Quick iterative scheme for the calculation of transfer matrices: application to Mo (100) Sancho, M. P. Lopez; Sancho, J. M. Lopez; Rubio, J. Journal of Physics F: Metal Physics, Vol. 14, Issue 5 https://doi.org/10.1088/0305-4608/14/5/016	journal	May 1984
Superconductivity in CaBi ₂ Winiarski, M. J.; Wiendlocha, B.; Gołąb, S. Physical Chemistry Chemical Physics, Vol. 18, Issue 31 https://doi.org/10.1039/C6CP02856J	journal	January 2016
The PseudoDojo: Training and grading a 85 element optimized norm-conserving pseudopotential table van Setten, M. J.; Giantomassi, M.; Bousquet, E. Computer Physics Communications, Vol. 226 https://doi.org/10.1016/j.cpc.2018.01.012	journal	May 2018
Direct Measurement of Quasiparticle-Lifetime Broadening in a Strong-Coupled Superconductor Dynes, R. C.; Narayanamurti, V.; Garno, J. P. Physical Review Letters, Vol. 41, Issue 21 https://doi.org/10.1103/PhysRevLett.41.1509	journal	November 1978
Superconductivity in monocrystalline ${YNiSi}_{3}$ and ${LuNiSi}_{3}$ Arantes, Fabiana R.; Aristizábal-Giraldo, Deisy; Mayoh, Daniel A. Physical Review B, Vol. 99, Issue 22 https://doi.org/10.1103/PhysRevB.99.224505	journal	June 2019
Magnetic small-angle neutron scattering Mühlbauer, Sebastian; Honecker, Dirk; Périgo, Élio A. Reviews of Modern Physics, Vol. 91, Issue 1 https://doi.org/10.1103/RevModPhys.91.015004	journal	March 2019
Local Superconducting Density of States of ${ErNi}_{2} B_{2} C$ Crespo, M.; Suderow, H.; Vieira, S. Physical Review Letters, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevLett.96.027003	journal	January 2006
Suprafroth in type-I superconductors Prozorov, Ruslan; Fidler, Andrew F.; Hoberg, Jacob R. Nature Physics, Vol. 4, Issue 4 https://doi.org/10.1038/nphys888	journal	March 2008
Specific heat and $μ$ SR study on the noncentrosymmetric superconductor LaRhSi $_{3}$ Anand, V. K.; Hillier, A. D.; Adroja, D. T. Physical Review B, Vol. 83, Issue 6 https://doi.org/10.1103/PhysRevB.83.064522	journal	February 2011
Possible multigap type-I superconductivity in the layered boride ${RuB}_{2}$ Singh, Jaskaran; Jayaraj, Anooja; Srivastava, D. Physical Review B, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevB.97.054506	journal	February 2018
Special points for Brillouin-zone integrations Monkhorst, Hendrik J.; Pack, James D. Physical Review B, Vol. 13, Issue 12, p. 5188-5192 https://doi.org/10.1103/PhysRevB.13.5188	journal	June 1976
A complete catalogue of high-quality topological materials Vergniory, M. G.; Elcoro, L.; Felser, Claudia Nature, Vol. 566, Issue 7745 https://doi.org/10.1038/s41586-019-0954-4	journal	February 2019
Anisotropic type-I superconductivity and anomalous superfluid density in ${OsB}_{2}$ Bekaert, J.; Vercauteren, S.; Aperis, A. Physical Review B, Vol. 94, Issue 14 https://doi.org/10.1103/PhysRevB.94.144506	journal	October 2016
Simplified feedback control system for scanning tunneling microscopy Martín-Vega, Francisco; Barrena, Víctor; Sánchez-Barquilla, Raquel Review of Scientific Instruments, Vol. 92, Issue 10 https://doi.org/10.1063/5.0064511	journal	October 2021
Comprehensive search for topological materials using symmetry indicators Tang, Feng; Po, Hoi Chun; Vishwanath, Ashvin Nature, Vol. 566, Issue 7745 https://doi.org/10.1038/s41586-019-0937-5	journal	February 2019
Search for Majorana Fermions in Superconductors Beenakker, C. W. J. Annual Review of Condensed Matter Physics, Vol. 4, Issue 1 https://doi.org/10.1146/annurev-conmatphys-030212-184337	journal	April 2013
Fully gapped superconducting state in Au ₂ Pb: A natural candidate for topological superconductor Yu, Y. J.; Xu, Y.; Xing, Y. EPL (Europhysics Letters), Vol. 116, Issue 6 https://doi.org/10.1209/0295-5075/116/67002	journal	December 2016
Temperature-pressure phase diagram of cubic Laves phase ${Au}_{2} Pb$ Chen, K. W.; Graf, D.; Besara, T. Physical Review B, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevB.93.045118	journal	January 2016
Compact very low temperature scanning tunneling microscope with mechanically driven horizontal linear positioning stage Suderow, H.; Guillamon, I.; Vieira, S. Review of Scientific Instruments, Vol. 82, Issue 3 https://doi.org/10.1063/1.3567008	journal	March 2011
Missing Atom as a Source of Carbon Magnetism Ugeda, M. M.; Brihuega, I.; Guinea, F. Physical Review Letters, Vol. 104, Issue 9 https://doi.org/10.1103/PhysRevLett.104.096804	journal	March 2010
Intrinsic Superconducting Parameters of Sr ₂ RuO ₄ Akima, Takashi; NishiZaki, Shuji; Maeno, Yoshiteru Journal of the Physical Society of Japan, Vol. 68, Issue 2 https://doi.org/10.1143/JPSJ.68.694	journal	February 1999
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator Fu, Liang; Kane, C. L. Physical Review Letters, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevLett.100.096407	journal	March 2008
Semiempirical GGA-type density functional constructed with a long-range dispersion correction Grimme, Stefan Journal of Computational Chemistry, Vol. 27, Issue 15, p. 1787-1799 https://doi.org/10.1002/jcc.20495	journal	January 2006
Simple scheme for surface-band calculations. I Lee, D. H.; Joannopoulos, J. D. Physical Review B, Vol. 23, Issue 10 https://doi.org/10.1103/PhysRevB.23.4988	journal	May 1981
WannierTools: An open-source software package for novel topological materials Wu, QuanSheng; Zhang, ShengNan; Song, Hai-Feng Computer Physics Communications, Vol. 224 https://doi.org/10.1016/j.cpc.2017.09.033	journal	March 2018
Millikelvin scanning tunneling microscope at 20/22 T with a graphite enabled stick–slip approach and an energy resolution below 8 μ eV: Application to conductance quantization at 20 T in single atom point contacts of Al and Au and to the charge density wave of 2H–NbSe ₂ Fernández-Lomana, Marta; Wu, Beilun; Martín-Vega, Francisco Review of Scientific Instruments, Vol. 92, Issue 9 https://doi.org/10.1063/5.0059394	journal	September 2021
Superconductivity of YbSb ₂ Yamaguchi, Yuji; Waki, Shinya; Mitsugi, Kazuyoshi Journal of the Physical Society of Japan, Vol. 56, Issue 1 https://doi.org/10.1143/JPSJ.56.419	journal	January 1987
Morphology of the Superconducting Vortex Lattice in Ultrapure Niobium Mühlbauer, S.; Pfleiderer, C.; Böni, P. Physical Review Letters, Vol. 102, Issue 13 https://doi.org/10.1103/PhysRevLett.102.136408	journal	April 2009
Observation of superconductivity in the intermetallic compound β-IrSn ₄ Tran, Vinh Hung; Bukowski, Zbigniew; Wiśniewski, Piotr Journal of Physics: Condensed Matter, Vol. 25, Issue 15 https://doi.org/10.1088/0953-8984/25/15/155701	journal	March 2013
Visualization by scanning SQUID microscopy of the intermediate state in the superconducting Dirac semimetal ${PdTe}_{2}$ Garcia-Campos, P.; Huang, Y. K.; de Visser, A. Physical Review B, Vol. 103, Issue 10 https://doi.org/10.1103/PhysRevB.103.104510	journal	March 2021
Free-carrier dynamics in Au ₂ Pb probed by optical conductivity measurements Kemmler, R.; Hübner, R.; Löhle, A. Journal of Physics: Condensed Matter, Vol. 30, Issue 48 https://doi.org/10.1088/1361-648X/aae7b1	journal	November 2018
Superconducting Density of States and Vortex Cores of 2H- ${NbS}_{2}$ Guillamón, I.; Suderow, H.; Vieira, S. Physical Review Letters, Vol. 101, Issue 16 https://doi.org/10.1103/PhysRevLett.101.166407	journal	October 2008
Maximally localized Wannier functions for entangled energy bands Souza, Ivo; Marzari, Nicola; Vanderbilt, David Physical Review B, Vol. 65, Issue 3 https://doi.org/10.1103/PhysRevB.65.035109	journal	December 2001
Highly convergent schemes for the calculation of bulk and surface Green functions Sancho, M. P. Lopez; Sancho, J. M. Lopez; Sancho, J. M. L. Journal of Physics F: Metal Physics, Vol. 15, Issue 4 https://doi.org/10.1088/0305-4608/15/4/009	journal	April 1985
WSXM : A software for scanning probe microscopy and a tool for nanotechnology Horcas, I.; Fernández, R.; Gómez-Rodríguez, J. M. Review of Scientific Instruments, Vol. 78, Issue 1 https://doi.org/10.1063/1.2432410	journal	January 2007

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Title: Superconducting density of states and band structure at the surface of the candidate topological superconductor Au 2 Pb

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Title: Superconducting density of states and band structure at the surface of the candidate topological superconductor ${Au}_{2} Pb$