The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond

Agterberg, D. F.; Davis, J. C.; Edkins, Stephen; Fradkin, Eduardo; Harlingen, D. J. Van; Kivelson, Steven A.; Lee, Patrick A.; Radzihovsky, Leo; Tranquada, J. M.; Wang, Yuxuan

doi:10.1146/annurev-conmatphys-031119-050711

Cited by 315 publications

(232 citation statements)

References 250 publications

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“…This PDW state has also been proposed as a natural competing state of the uniform d-wave SC state in the pseudogap regime. An extensive review of the physics of PDW states and their experimental evidence is given by Agterberg and coworkers 7 .…”

Section: Introductionmentioning

confidence: 99%

Topology and the one-dimensional Kondo-Heisenberg model

et al. 2020

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The Kondo-Heinsberg chain is an interesting model of a strongly correlated system which has a broad superconducting state with pair-density wave (PDW) order. Some of us have recently proposed that this PDW state is a symmetry-protected topological (SPT) state, and the gapped spin sector of the model supports Majorana zero modes. In this work, we reexamine this problem using a combination of numeric and analytic methods. In extensive density matrix renormalization group calculations, we find no evidence of a topological ground state degeneracy or the previously proposed Majorana zero modes in the PDW phase of this model. This result motivated us to reexamine the original arguments for the existence of the Majorana zero modes. A careful analysis of the effective continuum field theory of the model shows that the Hilbert space of the spin sector of the theory does not contain any single Majorana fermion excitations. This analysis shows that the PDW state of the doped 1D Kondo-Heisenberg model is not an SPT with Majorana zero modes. arXiv:2002.01483v1 [cond-mat.str-el]

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Section: Introductionmentioning

confidence: 99%

Topology and the one-dimensional Kondo-Heisenberg model

et al. 2020

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“…1(a superconducting order in LBCO with x near 1=8, as we observe here, implies a strong frustration of the interlayer Josephson coupling. This strong frustration has been rationalized by suggesting PDW order in the layers, with the sign of the superconducting order parameter alternating from stripe to stripe such that the Josephson coupling between adjacent layers with orthogonal stripes is perfectly geometrically frustrated [2,3]. Further experimental support for PDW order is provided by recent STM data [34].…”

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confidence: 95%

“…Cuprate superconductors are believed to exhibit competing superconducting orders: uniform d wave vs pair density wave (PDW) order [1,2]. The latter was proposed [3] to explain the observation of 2D superconductivity with depressed 3D order in La 2−x Ba x CuO 4 (LBCO) near x ¼ 1=8 with spin-stripe order [4].…”

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confidence: 99%

Using Uniaxial Stress to Probe the Relationship between Competing Superconducting States in a Cuprate with Spin-stripe Order

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We report muon spin rotation and magnetic susceptibility experiments on in-plane stress effects on the static spin-stripe order and superconductivity in the cuprate system La 2−x Ba x CuO 4 with x ¼ 0.115. An extremely low uniaxial stress of ∼0.1 GPa induces a substantial decrease in the magnetic volume fraction and a dramatic rise in the onset of 3D superconductivity, from ∼10 to 32 K; however, the onset of at-least-2D superconductivity is much less sensitive to stress. These results show not only that largevolume-fraction spin-stripe order is anticorrelated with 3D superconducting coherence but also that these states are energetically very finely balanced. Moreover, the onset temperatures of 3D superconductivity and spin-stripe order are very similar in the large stress regime. These results strongly suggest a similar pairing mechanism for spin-stripe order and the spatially modulated 2D and uniform 3D superconducting orders, imposing an important constraint on theoretical models.

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“…8 ). This is closely related to pair density waves that are under extensive investigation in unconventional superconductors 9 .…”

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confidence: 85%

Thermal transport of helium-3 in a strongly confining channel

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The investigation of transport properties in normal liquid helium-3 and its topological superfluid phases provides insights into related phenomena in electron fluids, topological materials, and putative topological superconductors. It relies on the measurement of mass, heat, and spin currents, due to system neutrality. Of particular interest is transport in strongly confining channels of height approaching the superfluid coherence length, to enhance the relative contribution of surface excitations, and suppress hydrodynamic counterflow. Here we report on the thermal conduction of helium-3 in a 1.1 μm high channel. In the normal state we observe a diffusive thermal conductivity that is approximately temperature independent, consistent with interference of bulk and boundary scattering. In the superfluid, the thermal conductivity is only weakly temperature dependent, requiring detailed theoretical analysis. An anomalous thermal response is detected in the superfluid which we propose arises from the emission of a flux of surface excitations from the channel.

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The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond

Cited by 315 publications

References 250 publications

Topology and the one-dimensional Kondo-Heisenberg model

Topology and the one-dimensional Kondo-Heisenberg model

Using Uniaxial Stress to Probe the Relationship between Competing Superconducting States in a Cuprate with Spin-stripe Order

Thermal transport of helium-3 in a strongly confining channel

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