Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders

Abstract

Recent transport experiments in the original cuprate high temperature superconductor, {La${}_{2-x}$Ba${}_x$CuO${}_4$}, have revealed a remarkable sequence of transitions and crossovers which give rise to a form of dynamical dimensional reduction, in which a bulk crystal becomes essentially superconducting in two directions while it remains poorly metallic in the third. We identify these phenomena as arising from a distinct new superconducting state, the "striped superconductor," in which the superconducting order is spatially modulated, so that its volume average value is zero. Here, in addition to outlining the salient experimental findings, we sketch the order parameter theory of the state, stressing some of the ways in which a striped superconductor differs fundamentally from an ordinary (uniform) superconductor, especially concerning its response to quenched randomness. We also present the results of DMRG calculations on a model of interacting electrons in which sign oscillations of the superconducting order are established. Finally, we speculate concerning the relevance of this state to experiments in other cuprates, including recent optical studies of {La${}_{2-x}$Sr${}_x$CuO${}_4$} in a magnetic field, neutron scattering experiments in underdoped {YBa${}_2$Cu${}_3$O${}_{6+x}$}, and a host of anomalies seen in STM and ARPES studies of {Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$}.

40 pages, 5 figures, Submitted to New. J. Phys. a focus issue on "Superconductors with Exotic Symmetries"; new version with minor changes; new version

References in corpus (40)

• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Supercurrent reversal in quantum dots
• Two Gaps Make a High Temperature Superconductor?
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La(1.875)Ba(0.125)CuO(4)
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• The Ground State of the Pseudogap in Cuprate Superconductors
• Dislocations and vortices in pair density wave superconductors
• Electronic Origin of the Inhomogeneous Pairing Interaction in the High-Tc Superconductor Bi2Sr2CaCu2O8+d
• Evidence for unusual superconducting correlations coexisting with stripe order in La(1.875)Ba(0.125)CuO(4)
• Theory of the striped superconductor
• Putting competing orders in their place near the Mott transition
• Imaging the impact on cuprate superconductivity of varying the inter-atomic distances within individual crystal unit-cells
• Tuning competing orders in La2-xSrxCuO4 cuprate superconductors by the application of an external magnetic field
• Enhancement of the Nernst effect by stripe order in a high-Tc superconductor
• Theory of quantum metal to superconductor transitions in highly conducting systems
• Unidirectional d-wave superconducting domains in the two-dimensional t-J model
• Magnetic-field-enhanced incommensurate magnetic order in the underdoped high-temperature superconductor YBa(2)Cu(3)O(6.45)
• The coherent {\it d}-wave superconducting gap in underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ as studied by angle-resolved photoemission
• Nernst effect and diamagnetism in phase fluctuating superconductors
• Spectral signatures of modulated d-wave superconducting phases
• Electronic structure near the 1/8-anomaly in La-based cuprates
• Stability of nodal quasi-particles in superconductors with coexisting orders
• Properties of charge density waves in La${}_{2-x}$Ba${}_x$CuO${}_4$
• Fluctuating Stripes in Strongly Correlated Electron Systems and the Nematic-Smectic Quantum Phase Transition
• Superconducting d-wave stripes in cuprates: Valence bond order coexisting with nodal quasiparticles
• Stability of RVB hole stripes in high-temperature superconductors
• Incommmensurability and unconventional superconductor to insulator transition in the Hubbard model with bond-charge interaction
• Incommensurate Spin Ordering and Fluctuations in underdoped La_{2-x}Ba_{x}CuO_{4}
• Evidence for Fermi surface reconstruction in the static stripe phase of La${}_{1.8-x}$Eu${}_{0.2}$Sr${}_x$CuO${}_4$, $x=1/8$
• Lattice Actions for Yang-Mills Quantum Mechanics with Exact Supersymmetry
• Fulde-Ferrell-Larkin-Ovchinnikov State in the absence of a Magnetic Field
• Biot-Savart correlations in layered superconductors
• 1D-FFLO state in the absence of time-reversal symmetry breaking

Cited by in corpus (1)

• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors