Superconducting doped topological materials

Abstract

Recently, the search for Majorana fermions (MFs) has become one of the most important and exciting issues in condensed matter physics since such an exotic quasiparticle is expected to potentially give rise to unprecedented quantum phenomena whose functional properties will be used to develop future quantum technology. Theoretically, the MFs may reside in various types of topological superconductor materials that is characterized by the topologically protected gapless surface state which are essentially an Andreev bound state. Superconducting doped topological insulators and topological crystalline insulators are promising candidates to harbor the MFs. In this review, we discuss recent progress and understanding on the research of MFs based on time-reversal-invariant superconducting topological materials to deepen our understanding and have a better outlook on both the search for and realization of MFs in these systems. We also discuss some advantages of these bulk systems to realize MFs including remarkable superconducting robustness against nonmagnetic impurities.

13 pages, 7 figure: Accepted for publication in Physica C, Special Issue on Superconducting Materials

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Cited by in corpus (29)

• Majorana Fermions and Topology in Superconductors
• Thermodynamic evidence for nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Unconventional Superconductivity
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Nematic superconductivity in doped Bi2Se3 topological superconductors
• Superconducting materials classes: introduction and overview
• Superconductivity in doped Dirac semimetals
• Evidence of nodes in the order parameter of the superconducting doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$ via penetration depth measurements
• Exploring Topological Superconductivity in Topological Materials
• Robust odd-parity superconductivity in the doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$
• High-pressure study of the basal-plane anisotropy of the upper critical field of the topological superconductor SrxBi2Se3
• Nanocalorimetric Evidence for Nematic Superconductivity in the Doped Topological Insulator Sr${}_{0.1}$Bi${}_2$Se${}_3$
• Surface electronic state of superconducting topological crystalline insulator
• Topological superconductivity and Majorana states in low-dimensional systems
• Prediction of intrinsic topological superconductivity in Mn-doped GeTe monolayer from first-principles
• Topology and symmetry of surface Majorana arcs in cyclic superconductors
• Chiral Higgs Mode in Nematic Superconductors
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Weyl nodal line induced pairing in Ising superconductor and high critical field
• Time-reversal invariant and fully gapped unconventional superconducting state in the bulk of the topological Nb0.25Bi2Se3
• Topologically nontrivial electronic states in CaSn${}_3$
• Superconductivity, pairing symmetry, and disorder in the doped topological insulator Sn${}_{1-x}$In${}_x$Te for x $\ge$ 0.10
• Superconducting Sn_{1-x}In_{x}Te Nanoplates
• Review: Observation of Majorana Bound States at a Free Surface of ${}^3$He-B
• Spin-Nernst Effect in Time-Reversal-Invariant Topological Superconductors
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Two-dimensional flat band on the (011) surface of UTe${}_2$: Implication for STM measurements with a superconducting tip
• Euler band topology in superfluids and superconductors
• Theory of Topological Superconductivity in Doped IV-VI Semiconductors