Anisotropic paramagnetic response of topological Majorana surface states in the superconductor ${\text{UTe}}_2$

Abstract

Identifying the superconducting gap symmetry and topological signatures in the putative spin-triplet superconductor ${\text{UTe}}_2$ is an important issue. Especially, a smoking-gun detection scheme for Majorana surface states hallmarking topological superconductivity in ${\text{UTe}}_2$ is still lacking. In this study, we examine the surface spin susceptibility of ${\text{UTe}}_2$ with a particular focus on the contribution of the surface states. We find that Majorana surface states contribute significantly to the surface spin susceptibility, and give rise to an Ising-like anisotropy and anomalous enhancement in the surface spin susceptibility. We calculate the surface spin susceptibility as well as the local density of states using the recursive Green's function method and examine the anisotropy of the surface spin susceptibility in terms of the topological surface states and symmetry for all irreducible representations of odd-parity pairing states. Our results indicate that the Ising anisotropy and the anomalous enhancement are attributed to the Majorana surface state protected by the crystalline symmetry. These findings suggest the possibility of detecting the Majorana surface state via magnetic measurements.

References in corpus (70)

• Spontaneously polarized half-gapped superconductivity
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Topology of crystalline insulators and superconductors
• Microscopic evidence for a chiral superconducting order parameter in the heavy fermion superconductor UTe2
• Andreev - Saint James reflections: a probe of cuprate superconductors
• Topology of Andreev Bound States with Flat Dispersion
• Quasiparticle States near the Surface and the Domain Wall in a p_x\pm i p_y-Wave Superconductor
• Theory of the proximity effect in junctions with unconventional superconductors
• Extreme magnetic field-boosted superconductivity
• Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
• Unconventional Superconductivity in UTe2
• Odd-frequency pairing in normal metal/superconductor junctions
• Evidence of a d to s-wave pairing symmetry transition in the electron-doped cuprate superconductor Pr${}_{2-x}$Ce${}_x$CuO${}_4$
• Spin-triplet superconductivity in Sr${}_2$RuO${}_4$ probed by Andreev reflection
• Detecting the Majorana fermion surface state of ${}^3$He-B through spin relaxation
• Anomalous charge transport in mesoscopic triplet superconductor junctions
• Edge states of Sr${}_2$RuO${}_4$ detected by in-plane tunneling spectroscopy
• Symmetry-Protected Majorana Fermions in Topological Crystalline Superconductors: Theory and Application to Sr2RuO4
• Types of topological surface states in nodal noncentrosymmetric superconductors
• Multiple superconducting phases in a nearly ferromagnetic system
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Anomalous features of the proximity effect in triplet superconductors
• Majorana Fermions in Nodal Superconductors: Gapless Topological Phase
• Tunneling Conductance and Surface States Transition in Superconducting Topological Insulators
• Detection of a Pair Density Wave State in UTe${}_2$
• Insulator-metal transition and topological superconductivity in UTe2 from a first-principles calculation
• Theory of enhanced proximity effect by mid gap Andreev resonant state in diffusive normal metal / triplet superconductor junctions
• Evidence for a pressure-induced antiferromagnetic quantum critical point in intermediate valence UTe2
• Multiple Superconducting Phases and Unusual Enhancement of the Upper Critical Field in UTe2
• Quasi-two-dimensional Fermi surfaces and unitary spin-triplet pairing in the heavy fermion superconductor UTe${}_2$
• Single-component superconducting state in UTe2 at 2 K
• Anomalous Surface Impedance due to Odd-frequency Cooper Pairs
• Periodic Anderson model for magnetism and superconductivity in UTe2
• Topological band and superconductivity in UTe${}_2$
• First Observation of de Haas-van Alphen Effect and Fermi Surfaces in Unconventional Superconductor UTe2
• Spectroscopic Evidence for Multiple Order Parameter Components in the Heavy Fermion Superconductor CeCoIn_5
• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Theory of Majorana zero modes in unconventional superconductors
• Strong Anisotropy in Spin Suceptibility of Superfluid 3He-B Film Caused by Surface Bound States
• Enhanced spin triplet superconductivity due to Kondo destabilization
• Large Reduction in the $a$-axis Knight Shift on UTe${}_2$ with $T_{\mathrm{c}}$ = 2.1 K
• UPt${}_3$ as a Topological Crystalline Superconductor
• Field-induced tuning of the pairing state in a superconductor
• Chiral superconductivity in UTe2 probed by anisotropic low-energy excitations
• Spectroscopic evidence for unconventional superconductivity in UBe${}_{13}$
• Strong-coupling d-wave superconductivity in PuCoGa_5 probed by point contact spectroscopy
• Anisotropy of the Upper Critical Field in the Heavy-Fermion Superconductor UTe2 under Pressure
• Quantum impurity spin in Majorana edge fermions
• Tuning magnetic confinement of spin-triplet superconductivity
• The fate of time-reversal symmetry breaking in UTe2
• Fully gapped pairing state in spin-triplet superconductor UTe${}_2$
• Theoretical study of quasiparticle states near the surface of a quasi-one-dimensional organic superconductor $(TMTSF{)}_2{PF}_6$
• Field-Induced Superconductivity near the Superconducting Critical Pressure in UTe2
• Observation of triplet superconductivity in CoSi${}_2$/TiSi${}_2$ heterostructures
• Superfluid 3He in a restricted geometry with a perpendicular magnetic field
• Odd-frequency pairing and proximity effect in Kitaev chain systems including topological critical point
• Anomalous surface states at interfaces in p-wave superconductors
• Odd-frequency Cooper pairs and zero-energy surface bound states in superfluid 3He
• Anisotropic magnetic responses of topological crystalline superconductors
• Mirror Majorana zero modes in spinful superconductors/superfluids -Non-Abelian braiding of integer quantum vortices-
• Pairing symmetries of multiple superconducting phases in UTe2: Competition between ferromagnetic and antiferromagnetic fluctuations
• Possible Realization of Topological Crystalline Superconductivity with Time-Reversal Symmetry in UTe2
• Odd-frequency Cooper pair amplitude around a vortex core in a chiral p-wave superconductor in the quantum limit
• Odd-frequency pairing and Ising spin susceptibility in time-reversal invariant superfluids and superconductors
• Anomalous Josephson Coupling and High-Harmonics in Non-Centrosymmetric Superconductors with $S$-wave Spin-Triplet Pairing
• Substrate-induced Majorana renormalization in topological nanowires
• Paramagnetic effects of j-electron superconductivity and application to UTe2
• Magnetic Susceptibility of Andreev Bound States in Superfluid ${}^3$He-B
• Subgap in the surface bound states spectrum of Superfluid ${}^3$He-B with Rough Surface

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• Nodal superconducting gap structure and topological surface states of UTe${}_2$
• Higher-order topological phases for time-reversal-symmetry breaking superconductivity in UTe${}_2$
• Two-dimensional flat band on the (011) surface of UTe${}_2$: Implication for STM measurements with a superconducting tip
• Theoretical Study of Impurity Effects on Superconductivity in UTe2