Effect of Fermi surface evolution on superconducting gap in superconducting topological insulator

Abstract

We study bulk electronic states of superconducting topological insulator, which is the promising candidate for topological superconductor. Recent experiments suggest that the three-dimensional Fermi surface evolves into two-dimensional one. We show that the superconducting energy gap structure on the Fermi surface systematically changes with this evolution. It is clarified that the bulk electronic properties such as spin-lattice relaxation rate and specific heat depend on the shape of the Fermi surface and the type of the energy gap function. These results serve as a guide to determine the pairing symmetry of Cu${}_x$Bi${}_2$Se${}_3$.

12 pages, 6 figures

References in corpus (35)

• Topological Insulators
• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Topological Insulator Materials
• Superconductivity in CuxBi2Se3 and its implications for pairing in the undoped topological insulator
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Topological Superconductivity in CuxBi2Se3
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Observation of topological order in a Superconducting doped topological insulator (based on the Bi2Se3 class)
• Bulk superconducting phase with a full energy gap in the doped topological insulator Cu_xBi_2Se_3
• Topological odd-parity superconductors
• Local Measurements of the Superconducting Pairing Symmetry in CuxBi2Se3
• Majorana Fermions and Exotic Surface Andreev Bound States in Topological Superconductors: Application to CuxBi2Se3
• Edge states of Sr${}_2$RuO${}_4$ detected by in-plane tunneling spectroscopy
• Theory of tunneling spectroscopy in superconducting Sr2RuO4
• Observation of Andreev Surface Bound States in the 3-K phase Region of Sr_2RuO_4
• Tunneling Conductance and Surface States Transition in Superconducting Topological Insulators
• Superconductivity in the doped topological insulator Cu${}_x$Bi${}_2$Se${}_3$ under high pressure
• Evolution of the fermi surface of a doped topological insulator with carrier concentration
• Unconventional superconductivity in CuxBi2Se3
• Manipulation of Topological States and Bulk Band Gap Using Natural Heterostructures of a Topological Insulator
• Theory of tunneling conductance for normal metal/insulator/triplet superconductor junctions
• NMR relaxation rate and dynamical structure factors in nematic and multipolar liquids of frustrated spin chains under magnetic fields
• Robustness of odd-parity superconductivity with spin-orbit locking against disorder
• Absence of zero-energy surface bound states in CuxBi2Se3 via a study of Andreev reflection spectroscopy
• Spatially Anisotropic Heisenberg Kagome Antiferromagnet
• Bulk electronic state of superconducting topological insulator
• Models of Superconducting Cu:Bi2Se3: single versus two-band description
• Anomalous suppression of the superfluid density in the CuxBi2Se3 superconductor upon progressive Cu intercalation
• Spin-polarized Majorana Bound States inside a Vortex Core in Topological Superconductors
• Quasi-classical theory of tunneling spectroscopy in superconducting topological insulator
• Quasiclassical numerical method for mesoscopic superconductors: bound states in a circular d-wave island with a single vortex
• Surface states and local spin susceptibility in doped three-dimensional topological insulators with odd-parity superconducting pairing symmetry
• Dynamical Monte Carlo investigation of spin reversals and nonequilibrium magnetization of single-molecule magnets

Cited by in corpus (15)

• Topological superconductors: a review
• Majorana Fermions and Topology in Superconductors
• Thermodynamic evidence for nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Nematic superconductivity in doped Bi2Se3 topological superconductors
• Superconductivity in doped Dirac semimetals
• Dirac-Fermion-Induced Parity Mixing in Superconducting Topological Insulators
• Superconducting doped topological materials
• Surface electronic state of superconducting topological crystalline insulator
• Chiral Higgs Mode in Nematic Superconductors
• Nematic Superconductivity in Cu1.5(PbSe)5(Bi2Se3)6
• Observation of Two-Dimensional Bulk Electronic States in a Superconducting Topological Insulator Heterostructure Cux(PbSe)5(Bi2Se3)6: Implications for Unconventional Superconductivity
• Link between superconductivity and a Lifshitz transition in intercalated Bi${}_2$Se${}_3$
• Nuclear magnetic relaxation rates of unconventional superconductivity in doped topological insulators
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators