Low-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi></mml:math>phononic thermal conductivity in superconductors with line nodes

Smith, M. F.

doi:10.1103/physrevb.72.052511

Cited by 6 publications

(6 citation statements)

References 20 publications

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“…1,2,6,8,12,13 In overdoped Tl-2201, with its higher carrier concentration, we attribute the T 2 dependence of ph to dominant electron-phonon scattering, known to yield ph ϰ T 2 at low T in a metal. 14 Smith has shown that this is indeed the theoretically expected dependence of phonon transport in a d-wave superconductor 15 in the range 0.1-1.0 K. We emphasize that the main results of this paper, which stem from the doping dependence of 0 / T, are unaffected by alternative methods to fit ph , such as a power law with adjustable power ͑ / T = a + bT ␥ ͒.…”

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confidence: 55%

Doping dependence of the superconducting gap inTl2Ba2CuO6+δfrom heat transport

Hawthorn

Sutherland

et al. 2007

Phys. Rev. B

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We present low-temperature thermal conductivity measurements on the cuprate Tl 2 Ba 2 CuO 6+␦ throughout the overdoped regime. In the T → 0 limit, the thermal conductivity due to d-wave nodal quasiparticles provides a bulk measurement of the superconducting gap ⌬. We find ⌬ to decrease with increasing doping, with a magnitude consistent with spectroscopic measurements ͑photoemission and tunneling͒. This argues for a pure and simple d-wave superconducting state in the overdoped region of the phase diagram, which appears to extend into the underdoped regime down to a hole concentration of Ӎ0.1 hole/Cu. As hole concentration is decreased, the gap-to-T c ratio increases, showing that the suppression of the superconducting transition temperature T c ͑relative to the gap͒ begins in the overdoped regime.

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confidence: 55%

Doping dependence of the superconducting gap inTl2Ba2CuO6+δfrom heat transport

Hawthorn

Sutherland

et al. 2007

Phys. Rev. B

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“…In the study on PCCO, this procedure failed because of electronphonon decoupling. 51 For all overdoped samples, the Wiedemann-Franz law was found to be valid in the field induced normal state, to within a few percent. In the only prior study on an underdoped cuprate (Bi-2201), the Lorenz ratio was found to be larger than expected: L/L 0 > 1.0.…”

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confidence: 83%

Wiedemann-Franz law in the underdoped cuprate superconductorYBa2Cu3Oy

et al. 2016

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The electrical and thermal Hall conductivities of the cuprate superconductor YBa2Cu3Oy, σxy and κxy, were measured in a magnetic field up to 35 T, at a hole concentration (doping) p = 0.11. In the T = 0 limit, we find that the Wiedemann-Franz law, κxy/T = (π 2 /3)(kB/e) 2 σxy, is satisfied for fields immediately above the vortex-melting field Hvs. This rules out the existence of a vortex liquid at T = 0 and it puts a clear constraint on the nature of the normal state in underdoped cuprates, in a region of the doping phase diagram where charge-density-wave order is known to exist. As the temperature is raised, the Lorenz ratio, Lxy = κxy/(σxyT ), decreases rapidly, indicating that strong small-q scattering processes are involved.

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“…We see that κ c /T is linear below 0.2 K. We attribute this linear behavior of κ p /T , also observed in overdoped cuprate superconductors [52], to the scattering of phonons by nodal quasiparticles, as discussed theoretically in ref. 53.…”

Section: H = 0 : In-plane Transportmentioning

confidence: 99%

Vertical Line Nodes in the Superconducting Gap Structure of Sr2RuO4

et al. 2017

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There is strong experimental evidence that the superconductor Sr2RuO4 has a chiral p-wave order parameter. This symmetry does not require that the associated gap has nodes, yet specific heat, ultrasound and thermal conductivity measurements indicate the presence of nodes in the superconducting gap structure of Sr2RuO4. Theoretical scenarios have been proposed to account for the existence of deep minima or accidental nodes (minima tuned to zero or below by material parameters) within a p-wave state. Other scenarios propose chiral d-wave and f -wave states, with horizontal and vertical line nodes, respectively. To elucidate the nodal structure of the gap, it is essential to know whether the lines of nodes (or minima) are vertical (parallel to the tetragonal c axis) or horizontal (perpendicular to the c axis). Here, we report thermal conductivity measurements on single crystals of Sr2RuO4 down to 50 mK for currents parallel and perpendicular to the c axis. We find that there is substantial quasiparticle transport in the T = 0 limit for both current directions. A magnetic field H immediately excites quasiparticles with velocities both in the basal plane and in the c direction. Our data down to Tc/30 and down to Hc2/100 show no evidence that the nodes are in fact deep minima. Relative to the normal state, the thermal conductivity of the superconducting state is found to be very similar for the two current directions, from H = 0 to H = Hc2. These findings show that the gap structure of Sr2RuO4 consists of vertical line nodes. This rules out a chiral d-wave state. Given that the c-axis dispersion (warping) of the Fermi surface in Sr2RuO4 varies strongly from surface to surface, the small a − c anisotropy suggests that the line nodes are present on all three sheets of the Fermi surface. If imposed by symmetry, vertical line nodes would be inconsistent with a p-wave order parameter for Sr2RuO4. To reconcile the gap structure revealed by our data with a p-wave state, a mechanism must be found that produces accidental line nodes in Sr2RuO4.

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Low-Tphononic thermal conductivity in superconductors with line nodes

Cited by 6 publications

References 20 publications

Doping dependence of the superconducting gap inTl2Ba2CuO6+δfrom heat transport

Doping dependence of the superconducting gap inTl2Ba2CuO6+δfrom heat transport

Wiedemann-Franz law in the underdoped cuprate superconductorYBa2Cu3Oy

Vertical Line Nodes in the Superconducting Gap Structure of Sr2RuO4

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