Thermodynamic transitions and topology of spin-triplet superconductivity: Application to UTe${}_2$

Abstract

The discovery of unconventional superconductivity in the heavy-fermion material UTe${}_2$ has reinvigorated research of spin-triplet superconductivity. We perform a theoretical study of coupled two-component spin-triplet superconducting order parameters and their thermodynamic transitions into the superconducting state. With focus on the behavior of the temperature dependence of the specific heat capacity, we find that two-component time-reversal symmetry breaking superconducting order may feature vanishing or even negative secondary specific heat anomalies. The origin of this unusual specific heat behavior is tied to the non-unitarity of the composite order parameter. Additionally, we supply an analysis of the topological surface states associated with the different possible spin-triplet orders: single-component orders host Dirac Majorana surface states in addition to possible bulk nodes. A second component breaking time-reversal symmetry gaps these surface states producing chiral Majorana hinge modes. DFT+$U$ band-structure calculations support that these topological phases are realized in UTe${}_2$ when introducing weak superconducting pairing. Our topological analysis suggests measurable signatures for surface-probe experiments to acquire further evidence of the superconducting pairing symmetry.

arXiv comment20 pages, 8 figures

References in corpus (75)

• Non-Abelian Anyons and Topological Quantum Computation
• Topological Insulators in Three Dimensions
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Classification of topological quantum matter with symmetries
• Higher-Order Topological Insulators
• Time-Reversal Symmetry Breaking Superconductivity in Sr2RuO4
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Evidence for Majorana bound state in an iron-based superconductor
• Topological Superconductivity and Superfluidity
• Spontaneously polarized half-gapped superconductivity
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• Microscopic evidence for a chiral superconducting order parameter in the heavy fermion superconductor UTe2
• Critical behavior of the three-dimensional XY universality class
• Evidence for time-reversal symmetry breaking in the non-centrosymmetric superconductor LaNiC${}_2$
• Higher-order bulk-boundary correspondence for topological crystalline phases
• Unconventional Superconductivity in Heavy Fermion UTe2
• Weyl superconductors
• Nearly quantized conductance plateau of vortex zero mode in an iron-based superconductor
• Extreme magnetic field-boosted superconductivity
• Observation of half-integer level shift of vortex bound states in an iron-based superconductor
• Unconventional Superconductivity in UTe2
• Gauging spatial symmetries and the classification of topological crystalline phases
• Pairing State with a time-reversal symmetry breaking in FeAs based superconductors
• Field-reentrant superconductivity close to a metamagnetic transition in the heavy-fermion superconductor UTe${}_2$
• Split superconducting and time-reversal symmetry-breaking transitions, and magnetic order in Sr${}_2$RuO${}_4$ under uniaxial stress
• On the Remarkable Superconductivity of FeSe and its Close Cousins
• Nematicity as a probe of superconducting pairing in iron-based superconductors
• Visualization of Topological Boundary Modes Manifesting Topological Nodal-Point Superconductivity
• Determination of the Superconducting Gap Structure in All Bands of the Spin-Triplet Superconductor Sr2RuO4
• Insulator-metal transition and topological superconductivity in UTe2 from a first-principles calculation
• A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4
• Quasi-two-dimensional Fermi surfaces and unitary spin-triplet pairing in the heavy fermion superconductor UTe${}_2$
• Low energy band structure and symmetries of UTe2 from angle resolved photoemission spectroscopy
• Visualizing "Fermi arcs" in the Weyl semimetal TaAs
• Single-component superconducting state in UTe2 at 2 K
• Knight Shift and Leading Superconducting Instability From Spin Fluctuations in Sr2RuO4
• 125Te-NMR Study on a Single Crystal of Heavy Fermion Superconductor UTe2
• First Observation of de Haas-van Alphen Effect and Fermi Surfaces in Unconventional Superconductor UTe2
• Topological band and superconductivity in UTe${}_2$
• Resolving the Topological Classification of Bismuth with Topological Defects
• Large Reduction in the $a$-axis Knight Shift on UTe${}_2$ with $T_{\mathrm{c}}$ = 2.1 K
• Symmetry-based indicators for topological Bogoliubov-de Gennes Hamiltonians
• Elastocaloric determination of the phase diagram of Sr${}_2$RuO${}_4$
• High sensitivity heat capacity measurements on Sr2RuO4 under uniaxial pressure
• Anomalous normal fluid response in a chiral superconductor UTe2
• Anisotropic response of spin susceptibility in the superconducting state of UTe${}_2$ probed with ${}^{125}$Te-NMR measurement
• Chiral superconductivity in UTe2 probed by anisotropic low-energy excitations
• Partial lattice defects in higher order topological insulators
• Spatially inhomogeneous superconductivity in UTe2
• ${\mathbb{Z}}_2$-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups
• Atomic limit and inversion-symmetry indicators for topological superconductors
• Electronic Structure of UTe${}_2$ Studied by Photoelectron Spectroscopy
• Quasi-2D Fermi surface in the anomalous superconductor UTe2
• Superconducting state of Sr${}_2$RuO${}_4$ in the presence of longer-range Coulomb interactions
• Superconducting order of ${\mathrm{Sr}}_2{\mathrm{RuO}}_4$ from a three-dimensional microscopic model
• Symmetry indicators for topological superconductors
• Thermodynamic transitions in inhomogeneous d-wave superconductors
• $c$-axis transport in UTe${}_2$: Evidence of Three Dimensional Conductivity Component
• Interplay between magnetism and superconductivity in UTe2
• The fate of time-reversal symmetry breaking in UTe2
• Pairing in graphene-based moiré superlattices
• Revealing a 3D Fermi Surface Pocket and Electron-Hole Tunneling in UTe${}_2$ with Quantum Oscillations
• High-throughput Investigations of Topological and Nodal Superconductors
• The classification of surface states of topological insulators and superconductors with magnetic point group symmetry
• UTe${}_2$: a nearly insulating half-filled $j=\frac{5}{2}$ $5f^3$ heavy fermion metal
• Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors
• Heat capacity double transitions in time-reversal symmetry broken superconductors
• de Haas-van Alphen Oscillations for the Field Along c-axis in UTe2
• Thermodynamic and electrical transport properties of UTe${}_2$ under uniaxial stress
• Spin triplet superconductivity driven by finite momentum spin fluctuations
• Possible Realization of Topological Crystalline Superconductivity with Time-Reversal Symmetry in UTe2
• Constraints on the superconducting state of Sr${}_2$RuO${}_4$ from elastocaloric measurements
• Higher-order topological semimetals and nodal superconductors with an order-two crystalline symmetry
• A microscopic Ginzburg--Landau theory and singlet ordering in Sr${}_2$RuO${}_4$
• Identifying Majorana vortex modes via non-local transport

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• Spontaneous time-reversal symmetry breaking by disorder in superconductors
• Nodal superconducting gap structure and topological surface states of UTe${}_2$
• Theoretical studies on off-axis phase diagrams and Knight shifts in UTe${}_2$ -- Tetra-critical point, d-vector rotation, and multiple phases
• Higher-order topological phases for time-reversal-symmetry breaking superconductivity in UTe${}_2$
• Revealing isotropic abundant low-energy excitations in UTe${}_2$ through complex microwave surface impedance
• Euler band topology in superfluids and superconductors
• A unified theoretical framework for Kondo superconductors: Periodic Anderson impurities with attractive pairing and Rashba spin-orbit coupling
• Electronic structure of UTe${}_2$ under pressure
• Quasiparticle Interference of Spin-Triplet Superconductors: Application to UTe${}_2$
• Theoretical Study of Impurity Effects on Superconductivity in UTe2