Power-law Temperature Dependence of the Penetration Depth in a Topological Superconductor due to Surface States

Abstract

We study the temperature dependence of the magnetic penetration depth in a 3D topological superconductor (TSC), incorporating the paramagnetic current due to the surface states. A TSC is predicted to host a gapless 2D surface Majorana fluid. In addition to the bulk-dominated London response, we identify a $T^3$ power-law-in-temperature contribution from the surface, valid in the low-temperature limit. Our system is fully gapped in the bulk, and should be compared to bulk nodal superconductivity, which also exhibits power-law behavior. Power-law temperature dependence of the penetration depth can be one indicator of topological superconductivity.

arXiv commentPublished version, 7+5 pages, 2 figures. Added discussion on specific heat

References in corpus (45)

• Topological insulators and superconductors
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Classification of topological insulators and superconductors in three spatial dimensions
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Topological superconductors: a review
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Topological Superconductivity and Superfluidity
• Topological Superconductivity in CuxBi2Se3
• Observation of topological order in a Superconducting doped topological insulator (based on the Bi2Se3 class)
• Magnetic Penetration Depth in Unconventional Superconductors
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Chiral Superconductors
• Spin-Rotation Symmetry Breaking in the Superconducting State of CuxBi2Se3
• Chiral P-Wave Order in Sr_2RuO_4
• Topological odd-parity superconductors
• Thermodynamic evidence for nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Local Measurements of the Superconducting Pairing Symmetry in CuxBi2Se3
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• Beyond Triplet: Unconventional Superconductivity in a Spin-3/2 Topological Semimetal
• Pairing of j=3/2 fermions in half-Heusler superconductors
• Rotational Symmetry Breaking in a Trigonal superconductor Nb-doped Bi2Se3
• Time-reversal invariant topological superconductivity in doped Weyl semimetals
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Superconductivity in three-dimensional spin-orbit coupled semimetals
• Topological superconductivity of spin-3/2 carriers in a three-dimensional doped Luttinger semimetal
• Superconductivity in non-centrosymmetric YPtBi under pressure
• Topological invariant for superfluid 3He-B and quantum phase transitions
• Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
• Direct visualization of the nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Evidence of nodes in the order parameter of the superconducting doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$ via penetration depth measurements
• Absence of zero-energy surface bound states in CuxBi2Se3 via a study of Andreev reflection spectroscopy
• Robust odd-parity superconductivity in the doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$
• Majorana Excitations, Spin- and Mass Currents on the Surface of Topological Superfluid ${}^3$He-B
• Anomalous suppression of the superfluid density in the CuxBi2Se3 superconductor upon progressive Cu intercalation
• Evidence for unconventional superconductivity in Half-Heusler YPdBi and TbPdBi compounds revealed by London penetration depth measurements
• Tri-Dirac Surface Modes in Topological Superconductors
• Transport evidence for three dimensional topological superconductivity in doped $\beta$-PdBi${}_2$
• Shedding light on topological superconductors
• Locally gauge-invariant spin response of ${}^3$He-$B$ films with Majorana surface states
• Signatures of surface Majorana modes in the magnetic response of topological superconductors

Cited by in corpus (9)

• Time-reversal invariant and fully gapped unconventional superconducting state in the bulk of the topological Nb0.25Bi2Se3
• Fragility of surface states in non-Wigner Dyson topological insulators
• Topological Anomalous Skin Effect in Weyl Superconductors
• On the Excitations of a Balian-Werthamer Superconductor
• Anisotropic Upper Critical Field, Seebeck and Nernst Coefficient in Nb0.20Bi2Se3 Topological Superconductor
• Electron Currents from Gradual Heating in Tilted Dirac Cone Materials
• Anisotropic multiband superconductivity in 2M-WS${}_2$ probed by controlled disorder
• Representation-protected topology of spin-singlet $s$-wave superconductors
• Microscopic Insights into London Penetration Depth: Application to CeCoIn${}_5^{}$