Nodeless superconductivity in the typeII Dirac semimetal ${\mathrm{PdTe}}_{2}$: London penetration depth and pairingsymmetry analysis
Abstract
Superconducting gap structure was probed in typeII Dirac semimetal PdTe _{2} by measuring the London penetration depth using the tunnel diode resonator technique. At low temperatures, the data for two samples are well described by a weakcoupling exponential fit yielding λ( T = 0) = 230 nm as the only fit parameter at a fixed Δ(0)/ T _{c} ≈ 1.76, and the calculated superfluid density is consistent with a fully gapped superconducting state characterized by a single gap scale. Electrical resistivity measurements for inplane and interplane current directions find very low and nearly temperatureindependent normalstate anisotropy. The temperature dependence of resistivity is typical for conventional phonon scattering in metals. Here, we compare these experimental results with expectations from a detailed theoretical symmetry analysis and reduce the number of possible superconducting pairing states in PdTe _{2} to only three nodeless candidates: a regular, topologically trivial swave pairing, and two distinct oddparity triplet states that both can be topologically nontrivial depending on the microscopic interactions driving the superconducting instability.
 Authors:

 Ames Lab. and Iowa State Univ., Ames, IA (United States)
 Harvard Univ., Cambridge, MA (United States)
 Ames Lab., Ames, IA (United States)
 Iowa State Univ., Ames, IA (United States)
 Publication Date:
 Research Org.:
 Ames Laboratory (AMES), Ames, IA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 OSTI Identifier:
 1460405
 Alternate Identifier(s):
 OSTI ID: 1460482
 Report Number(s):
 ISJ9708
Journal ID: ISSN 24699950; PRBMDO; TRN: US1901877
 Grant/Contract Number:
 AC0207CH11358
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 98; Journal Issue: 2; Journal ID: ISSN 24699950
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Teknowijoyo, S., Jo, Na Hyun, Scheurer, Mathias S., Tanatar, M. A., Cho, Kyuil, Bud'ko, S. L., Orth, Peter P., Canfield, P. C., and Prozorov, R. Nodeless superconductivity in the typeII Dirac semimetal PdTe2: London penetration depth and pairingsymmetry analysis. United States: N. p., 2018.
Web. doi:10.1103/PhysRevB.98.024508.
Teknowijoyo, S., Jo, Na Hyun, Scheurer, Mathias S., Tanatar, M. A., Cho, Kyuil, Bud'ko, S. L., Orth, Peter P., Canfield, P. C., & Prozorov, R. Nodeless superconductivity in the typeII Dirac semimetal PdTe2: London penetration depth and pairingsymmetry analysis. United States. doi:10.1103/PhysRevB.98.024508.
Teknowijoyo, S., Jo, Na Hyun, Scheurer, Mathias S., Tanatar, M. A., Cho, Kyuil, Bud'ko, S. L., Orth, Peter P., Canfield, P. C., and Prozorov, R. Mon .
"Nodeless superconductivity in the typeII Dirac semimetal PdTe2: London penetration depth and pairingsymmetry analysis". United States. doi:10.1103/PhysRevB.98.024508. https://www.osti.gov/servlets/purl/1460405.
@article{osti_1460405,
title = {Nodeless superconductivity in the typeII Dirac semimetal PdTe2: London penetration depth and pairingsymmetry analysis},
author = {Teknowijoyo, S. and Jo, Na Hyun and Scheurer, Mathias S. and Tanatar, M. A. and Cho, Kyuil and Bud'ko, S. L. and Orth, Peter P. and Canfield, P. C. and Prozorov, R.},
abstractNote = {Superconducting gap structure was probed in typeII Dirac semimetal PdTe2 by measuring the London penetration depth using the tunnel diode resonator technique. At low temperatures, the data for two samples are well described by a weakcoupling exponential fit yielding λ(T = 0) = 230 nm as the only fit parameter at a fixed Δ(0)/Tc ≈ 1.76, and the calculated superfluid density is consistent with a fully gapped superconducting state characterized by a single gap scale. Electrical resistivity measurements for inplane and interplane current directions find very low and nearly temperatureindependent normalstate anisotropy. The temperature dependence of resistivity is typical for conventional phonon scattering in metals. Here, we compare these experimental results with expectations from a detailed theoretical symmetry analysis and reduce the number of possible superconducting pairing states in PdTe2 to only three nodeless candidates: a regular, topologically trivial swave pairing, and two distinct oddparity triplet states that both can be topologically nontrivial depending on the microscopic interactions driving the superconducting instability.},
doi = {10.1103/PhysRevB.98.024508},
journal = {Physical Review B},
number = 2,
volume = 98,
place = {United States},
year = {2018},
month = {7}
}
Web of Science
Works referenced in this record:
Topological insulators and superconductors
journal, October 2011
 Qi, XiaoLiang; Zhang, ShouCheng
 Reviews of Modern Physics, Vol. 83, Issue 4
Use of fritdisc crucibles for routine and exploratory solution growth of single crystalline samples
journal, December 2015
 Canfield, Paul C.; Kong, Tai; Kaluarachchi, Udhara S.
 Philosophical Magazine, Vol. 96, Issue 1
Weyl and Dirac semimetals in threedimensional solids
journal, January 2018
 Armitage, N. P.; Mele, E. J.; Vishwanath, Ashvin
 Reviews of Modern Physics, Vol. 90, Issue 1
Thermodynamic evidence for nematic superconductivity in CuxBi2Se3
journal, October 2016
 Yonezawa, Shingo; Tajiri, Kengo; Nakata, Suguru
 Nature Physics, Vol. 13, Issue 2
Superconductivity of doped Weyl semimetals: Finitemomentum pairing and electronic analog of the ${}^{3}$ He $A$ phase
journal, December 2012
 Cho, Gil Young; Bardarson, Jens H.; Lu, YuanMing
 Physical Review B, Vol. 86, Issue 21
Oddparity superconductivity from phononmediated pairing: Application to ${\mathrm{Cu}}_{x}{\mathrm{Bi}}_{2}{\mathrm{Se}}_{3}$
journal, November 2014
 Brydon, P. M. R.; Das Sarma, S.; Hui, HoiYin
 Physical Review B, Vol. 90, Issue 18
Relativistic bandstructure and Fermi surface of PdTe _{2} by the LMTO method
journal, September 1977
 Jan, J. P; Skriver, H. L.
 Journal of Physics F: Metal Physics, Vol. 7, Issue 9
Conventional superconductivity in the typeII Dirac semimetal ${\mathrm{PdTe}}_{2}$
journal, January 2018
 Das, Shekhar; Sirohi, Anshu
 Physical Review B, Vol. 97, Issue 1
CONSTITUTION AND MAGNETIC AND ELECTRICAL PROPERTIES OF PALLADIUM TELLURIDES (PdTe–PdTe _{2} )
journal, March 1965
 Kjekshus, A.; Pearson, W. B.
 Canadian Journal of Physics, Vol. 43, Issue 3
OddParity Topological Superconductors: Theory and Application to ${\mathrm{Cu}}_{x}{\mathrm{Bi}}_{2}{\mathrm{Se}}_{3}$
journal, August 2010
 Fu, Liang; Berg, Erez
 Physical Review Letters, Vol. 105, Issue 9
Colloquium: Topological insulators
journal, November 2010
 Hasan, M. Z.; Kane, C. L.
 Reviews of Modern Physics, Vol. 82, Issue 4, p. 30453067
Compositioninduced structural instability and strongcoupling superconductivity in ${\mathrm{Au}}_{1x}{\mathrm{Pd}}_{x}{\mathrm{Te}}_{2}$
journal, April 2016
 Kudo, Kazutaka; Ishii, Hiroyuki; Nohara, Minoru
 Physical Review B, Vol. 93, Issue 14
Discovery of a ThreeDimensional Topological Dirac Semimetal, Na3Bi
journal, January 2014
 Liu, Z. K.; Zhou, B.; Zhang, Y.
 Science, Vol. 343, Issue 6173
Superconductivity in Weyl metals
journal, July 2015
 Bednik, G.; Zyuzin, A. A.; Burkov, A. A.
 Physical Review B, Vol. 92, Issue 3
Nontrivial Berry phase and typeII Dirac transport in the layered material $\mathrm{PdT}{\mathrm{e}}_{2}$
journal, July 2017
 Fei, Fucong; Bo, Xiangyan; Wang, Rui
 Physical Review B, Vol. 96, Issue 4
Search for Majorana Fermions in Superconductors
journal, April 2013
 Beenakker, C. W. J.
 Annual Review of Condensed Matter Physics, Vol. 4, Issue 1
Magnetic penetration depth in unconventional superconductors
journal, June 2006
 Prozorov, Ruslan; Giannetta, Russell W.
 Superconductor Science and Technology, Vol. 19, Issue 8
Experimental Realization of TypeII Dirac Fermions in a ${\mathrm{PdTe}}_{2}$ Superconductor
journal, July 2017
 Noh, HanJin; Jeong, Jinwon; Cho, EnJin
 Physical Review Letters, Vol. 119, Issue 1
Phenomenological theory of unconventional superconductivity
journal, April 1991
 Sigrist, Manfred; Ueda, Kazuo
 Reviews of Modern Physics, Vol. 63, Issue 2
Unpaired Majorana fermions in quantum wires
journal, October 2001
 Kitaev, A. Yu
 PhysicsUspekhi, Vol. 44, Issue 10S
Emergent surface superconductivity in the topological insulator Sb2Te3
journal, September 2015
 Zhao, Lukas; Deng, Haiming; Korzhovska, Inna
 Nature Communications, Vol. 6, Issue 1
Identification of Topological Surface State in PdTe _{2} Superconductor by AngleResolved Photoemission Spectroscopy
journal, June 2015
 Liu, Yan; Zhao, JianZhou; Yu, Li
 Chinese Physics Letters, Vol. 32, Issue 6
Energy gap evolution across the superconductivity dome in single crystals of (Ba _{ 1− x } K _{ x } )Fe _{2} As _{2}
journal, September 2016
 Cho, Kyuil; Kończykowski, Marcin; Teknowijoyo, Serafim
 Science Advances, Vol. 2, Issue 9
NonAbelian anyons and topological quantum computation
journal, September 2008
 Nayak, Chetan; Simon, Steven H.; Stern, Ady
 Reviews of Modern Physics, Vol. 80, Issue 3
The occurrence of superconductivity in sulfides, selenides, tellurides of Ptgroup metals
journal, December 1965
 Raub, Ch. J.; Compton, V. B.; Geballe, T. H.
 Journal of Physics and Chemistry of Solids, Vol. 26, Issue 12
Tunnel diode oscillator for 0.001 ppm measurements at low temperatures
journal, May 1975
 Van Degrift, Craig T.
 Review of Scientific Instruments, Vol. 46, Issue 5
Paired states of fermions in two dimensions with breaking of parity and timereversal symmetries and the fractional quantum Hall effect
journal, April 2000
 Read, N.; Green, Dmitry
 Physical Review B, Vol. 61, Issue 15
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
journal, March 2008
 Fu, Liang; Kane, C. L.
 Physical Review Letters, Vol. 100, Issue 9
Topological Superconductivity in Dirac Semimetals
journal, October 2015
 Kobayashi, Shingo; Sato, Masatoshi
 Physical Review Letters, Vol. 115, Issue 18
Growth of single crystals from metallic fluxes
journal, June 1992
 Canfield, P. C.; Fisk, Z.
 Philosophical Magazine B, Vol. 65, Issue 6
Timereversalinvariant topological superconductivity in doped Weyl semimetals
journal, July 2014
 Hosur, Pavan; Dai, Xi; Fang, Zhong
 Physical Review B, Vol. 90, Issue 4
Heat capacity evidence for conventional superconductivity in the typeII Dirac semimetal ${\mathrm{PdTe}}_{2}$
journal, February 2018
 Amit, ; Singh, Yogesh
 Physical Review B, Vol. 97, Issue 5
Method for Measuring Electrical Resistivity of Anisotropic Materials
journal, June 1971
 Montgomery, H. C.
 Journal of Applied Physics, Vol. 42, Issue 7
Series for Computing Current Flow in a Rectangular Block
journal, June 1971
 Logan, B. F.; Rice, S. O.; Wick, R. F.
 Journal of Applied Physics, Vol. 42, Issue 7
Superconductivity in ${\mathrm{Cu}}_{x}{\mathrm{Bi}}_{2}{\mathrm{Se}}_{3}$ and its Implications for Pairing in the Undoped Topological Insulator
journal, February 2010
 Hor, Y. S.; Williams, A. J.; Checkelsky, J. G.
 Physical Review Letters, Vol. 104, Issue 5
TypeI superconductivity in the Dirac semimetal ${\mathrm{PdTe}}_{2}$
journal, December 2017
 Leng, H.; Paulsen, C.; Huang, Y. K.
 Physical Review B, Vol. 96, Issue 22
Manipulation of typeI and typeII Dirac points in ${\mathrm{PdTe}}_{2}$ superconductor by external pressure
journal, August 2017
 Xiao, R. C.; Gong, P. L.; Wu, Q. S.
 Physical Review B, Vol. 96, Issue 7
Topological superconductors: a review
journal, May 2017
 Sato, Masatoshi; Ando, Yoichi
 Reports on Progress in Physics, Vol. 80, Issue 7
Pressureinduced superconductivity in the threedimensional topological Dirac semimetal Cd3As2
journal, September 2016
 He, Lanpo; Jia, Yating; Zhang, Sijia
 npj Quantum Materials, Vol. 1, Issue 1
MeissnerLondon state in superconductors of rectangular cross section in a perpendicular magnetic field
journal, July 2000
 Prozorov, R.; Giannetta, R. W.; Carrington, A.
 Physical Review B, Vol. 62, Issue 1
Mechanism, timereversal symmetry, and topology of superconductivity in noncentrosymmetric systems
journal, May 2016
 Scheurer, M. S.
 Physical Review B, Vol. 93, Issue 17
Modular portable unit for thermal conductivity measurements in multiple cryogenic/magnetic field environments
journal, January 2018
 Tanatar, M. A.; Bondarenko, V. A.; Timmons, E. I.
 Review of Scientific Instruments, Vol. 89, Issue 1
Topological invariants for the Fermi surface of a timereversalinvariant superconductor
journal, April 2010
 Qi, XiaoLiang; Hughes, Taylor L.; Zhang, ShouCheng
 Physical Review B, Vol. 81, Issue 13
London penetration depth in ironbased superconductors
journal, September 2011
 Prozorov, R.; Kogan, V. G.
 Reports on Progress in Physics, Vol. 74, Issue 12