Low temperature quasiparticle transport in a d-wave superconductor with coexisting charge order

Abstract

In light of the evidence that charge order coexists with d-wave superconductivity in the underdoped cuprate superconductors, we investigate the manner in which such charge order will influence the quasiparticle excitations of the system and, in particular, the low-temperature transport of heat by those quasiparticles. We consider a d-wave superconductor in which the superconductivity coexists with charge density wave order of wave vector (π/a,0). While the nodes of the quasiparticle energy spectrum survive the onset of charge order, there exists a critical value of the charge density wave order parameter beyond which the quasiparticle spectrum becomes fully gapped. We perform a linear response Kubo formula calculation of thermal conductivity in the low temperature (universal) limit. Results reveal the dependence of thermal transport on increasing charge order up to the critical value at which the quasiparticle spectrum becomes fully gapped and thermal conductivity vanishes. In addition to numerical results, closed-form expressions are obtained in the clean limit for the special case of isotropic Dirac nodes. Signatures of the influence of charge order on low-temperature thermal transport are identified.

12 pages, 6 figures

References in corpus (41)

• How to detect fluctuating order in the high-temperature superconductors
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
• Local Ordering in the Pseudogap State of the High-T${}_c$ Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• Impurity-Induced Quasiparticle Transport and Universal Limit Wiedemann-Franz Violation in d-Wave Superconductors
• Electronic thermal conductivity and the Wiedemann-Franz law for unconventional superconductors
• Heat Transport in a Strongly Overdoped Cuprate: Fermi Liquid and Pure d-wave BCS Superconductor
• Density Wave States of Non-Zero Angular Momentum
• Thermal Conductivity across the Phase Diagram of Cuprates: Low-Energy Quasiparticles and Doping Dependence of the Superconducting Gap
• Imaging the Two Gaps of the High-TC Superconductor Pb-Bi2Sr2CuO6+x
• Universal Heat Conduction in YBa_2Cu_3O_6.9
• Electronic Origin of the Inhomogeneous Pairing Interaction in the High-Tc Superconductor Bi2Sr2CaCu2O8+d
• Low-Energy Quasiparticles in Cuprate Superconductors: A Quantitative Analysis
• Quasi-particle interference and superconducting gap in a high-temperature superconductor Ca2-xNaxCuO2Cl2
• d-Wave Model for Microwave Response of High-Tc Superconductors
• Competing orders and quantum criticality in doped antiferromagnets
• Quasiparticle transport and localization in high-T_c superconductors
• Quasiparticle transport in the vortex state of YBa_2Cu_3O_6.9
• Theory of Thermal Conductivity in YBa_2Cu_3O_{7-δ}
• Bond operator theory of doped antiferromagnets: from Mott insulators with bond-centered charge order, to superconductors with nodal fermions
• Metal-to-Insulator Crossover in YBa_{2}Cu_{3}O_{y} Probed by Low-Temperature Quasiparticle Heat Transport
• Low-temperature electronic heat transport in La_{2-x}Sr_{x}CuO_{4} single crystals: Unusual low-energy physics in the normal and superconducting states
• Delocalized fermions in underdoped cuprates
• Stability of nodal quasi-particles in superconductors with coexisting orders
• Magnetic-Field-Induced Localization of Quasiparticles in Underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ Single Crystals
• Quantum Phase Transitions in a Cuprate Superconductor Bi_{2}Sr_{2-x}La_{x}CuO_{6+δ}
• Nodal quasi-particles and coexisting orders in striped superconductors
• Field-Induced Thermal Metal-to-Insulator Transition in Underdoped LSCO
• Electronic Inhomogeneity and Breakdown of the Universal Thermal Conductivity in Cuprate Superconductors
• Transport in Ultraclean YBa${}_2$Cu${}_3$O${}_7$: neither Unitary nor Born Impurity Scattering
• Doping dependence of the superconducting gap in Tl_2Ba_2CuO_{6+delta} from heat transport
• Breakdown of universal transport in correlated d-wave superconductors
• Low-temperature nodal-quasiparticle transport in lightly doped YBa_{2}Cu_{3}O_{y} near the edge of the superconducting doping regime
• Failure of Scattering Interference in the Pseudogap State of Cuprate Superconductors
• Thermal conductivity and competing orders in d-wave superconductors
• Doping dependence of phonon and quasiparticle heat transport of pure and Dy-doped Bi_2Sr_2CaCu_2O_{8+δ} single crystals
• Low temperature thermal conductivity in a d-wave superconductor with coexisting charge order: Effect of self-consistent disorder and vertex corrections

Cited by in corpus (7)

• A semi-Dirac point in the Hofstadter spectrum
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• Signatures of the nematic ordering transitions in the thermal conductivity of d-wave superconductors
• Low temperature thermal transport at the interface of a topological insulator and a d-wave superconductor
• Effect of coexisting order of various form and wave vector on low-temperature thermal conductivity in d-wave superconductors
• Thermal Transport in Superconductors with coexisting Spin Density Wave Order
• Anisotropic Thermal Transport in Superconductors with Coexisting Spin Density Waves