Unconventional superconductors under rotating magnetic field II: thermal transport

Abstract

We present a microscopic approach to the calculations of thermal conductivity in unconventional superconductors for a wide range of temperatures and magnetic fields. Our work employs the non-equilibrium Keldysh formulation of the quasiclassical theory. We solve the transport equations using a variation of the Brandt-Pesch-Tewordt (BPT) method, that accounts for the quasiparticle scattering on vortices. We focus on the dependence of the thermal conductivity on the direction of the field with the respect to the nodes of the order parameter, and discuss it in the context of experiments aiming to determine the shape of the gap from such anisotropy measurements. We consider quasi-two dimensional Fermi surfaces with vertical line nodes and use our analysis to establish the location of gap nodes in heavy fermion CeCoIn${}_5$ and organic superconductor $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$.

arXiv comment17 pages, 13 figures

References in corpus (25)

• Angular Position of Nodes in the Superconducting Gap of Quasi-2D Heavy-Fermion Superconductor CeCoIn_5
• Electronic thermal conductivity and the Wiedemann-Franz law for unconventional superconductors
• Multiple Superconducting Phases in New Heavy Fermion Superconductor PrOs4Sb12
• Superconducting Gap Structure of kappa-(BEDT-TTF)2Cu(NCS)2 Probed by Thermal Conductivity Tensor
• Gap Function with Point Nodes in Borocarbide Superconductor YNi_2B_2C
• Nodal Structure of Unconventional Superconductors Probed by the Angle Resolved Thermal Transport Measurements
• Anisotropic thermodynamics of d-wave superconductors in the vortex state
• Transport Properties of d-Wave Superconductors in the Vortex State
• Angular position of nodes in the superconducting gap of YBCO
• Field-angle Dependence of the Zero-Energy Density of States in the Unconventional Heavy-Fermion Superconductor CeCoIn5
• Direct Observation of Nodal Quasiparticles in an Unconventional Superconductor: Field-angle Dependent Heat Capacity of YNi2B2C
• Nodal structure of quasi-2D superconductors probed by magnetic field
• Quasiparticle thermal conductivity in the vortex state of high-T${}_c$ cuprates
• Electromagnetic Response of a Vortex in Layered Superconductors
• Unconventional superconductors under rotating magnetic field I: density of states and specific heat
• Superconducting Gap Function in Antiferromagnetic Heavy-Fermion UPd_2Al_3 Probed by Angle Resolved Magnetothermal Transport Measurements
• Thermodynamics of d-wave superconductors in a magnetic field
• Quasiclassical theory of superconducting states under magnetic fields: Thermodynamic properties
• Evidence for the Coexistence of Anisotropic Superconducting Gap and Nonlocal Effects in the Non-magnetic Superconductor LuNi2B2C
• Quasiclassical Approach to Transport in the Vortex State and the Hall Effect
• Thermal Conductivity Tensor in YBa${}_2$Cu${}_3$O${}_{7-x}$: Effects of a Planar Magnetic Field
• Large Thermoelectric Effects in Unconventional Superconductors
• Angle-dependent magnetothermal conductivity in d-wave superconductors
• Angle Dependence of the Transverse Thermal Conductivity in YBa${}_2$Cu${}_3$O${}_7$ single crystals: Doppler Effect vs. Andreev scattering
• Study on Unconventional Superconductors via Angle-resolved Specific Heat

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• Theory of thermal conductivity in extended-$s$ state superconductors: application to ferropnictides
• Location of gap nodes in the organic superconductors $\kappa$-(ET)${}_2$Cu(NCS)${}_2$ and $\kappa$-(ET)${}_2$Cu[N(CN)${}_2$]Br determined by magnetocalorimetry
• In-plane superfluid density and microwave conductivity of the organic superconductor κ-(BEDT-TTF)2Cu[N(CN)2]Br: evidence for d-wave pairing and resilient quasiparticles
• Nodes vs. minima in the energy gap of iron-pnictides from field-induced anisotropy
• Negative thermal magnetoresistivity as a signature of chiral anomaly in Weyl superconductors
• Kramer-Pesch approximation for analyzing field-angle-resolved measurements made in unconventional superconductors: A calculation of the zero-energy density of states
• Interplay of the spin density wave and a possible Fulde-Ferrell-Larkin-Ovchinnikov state in $\mathrm{CeCoI}{\mathrm{n}}_5$ in rotating magnetic field
• Field-angle-resolved anisotropy in superconducting CeCoIn5 using realistic Fermi surfaces
• Vortex state in d-wave superconductors with strong paramagnetism: transport and specific heat anisotropy
• Searching for zeroes: unconventional superconductors in a magnetic field
• Spin-Nernst Effect in Time-Reversal-Invariant Topological Superconductors
• Thermal conductivity in a mixed state of a superconductor at low magnetic fields
• Nodal gap detection through polar angle-resolved density of states measurements in uniaxial superconductors
• Are there nodes in LaFePO, BaFe${}_2$(AsP)${}_2$, and KFe${}_2$As${}_2$ ?
• Anomalous Thermal Conductivity of Semi-Metallic Superconductors with Electron-Hole Compensation
• Role of Fermi surface anisotropy in the study of gap anisotropy using magnetic-field-angle dependence of thermal oscillations in AyFe2-xSe2 superconductors
• Spin caloritronics as a probe of nonunitary superconductors
• Heat transport in nonuniform superconductors
• Field-angle Resolved Flux-flow Resistivity as a Phase-sensitive Probe of Unconventional Cooper Pairing
• Field angle dependence of the zero-energy density of states in unconventional superconductors: analysis of the borocarbide superconductor YNi2B2C
• Normal Fermi Surface in the Nodal Superconductor CeCoIn${}_5$ Revealed via Thermal Conductivity
• Impurity bands, line-nodes, and anomalous thermal Hall effect in Weyl superconductors
• Drastic enhancement of the thermal Hall angle in a $d$-wave superconductor
• Analysis of field-angle dependent specific heat in unconventional superconductors: a comparison between Doppler-shift method and Kramer-Pesch approximation
• Field angle-dependent thermal conductivity in nodal superconuctors
• Intrinsic Mechanism for Magneto-Thermal Conductivity Oscillations in Spin-Orbit-Coupled Nodal Superconductors
• Analysis of Magnetic Field-Angle Dependent Electronic Raman Scattering to Probe the Superconducting Gap