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

2020 ◽  
Vol 11 (1) ◽  
pp. 231-270 ◽  
Author(s):  
Daniel F. Agterberg ◽  
J.C. Séamus Davis ◽  
Stephen D. Edkins ◽  
Eduardo Fradkin ◽  
Dale J. Van Harlingen ◽  
...  
Keyword(s):  
Cuprate Superconductors ◽  
Density Wave ◽  
Cold Atom ◽  
Current Debate ◽  
Macroscopic Description ◽  
Microscopic Description ◽  
Unconventional Superconductors ◽  
Pair Density ◽  
The Status ◽  
Competing Order

We review the physics of pair-density wave (PDW) superconductors. We begin with a macroscopic description that emphasizes order induced by PDW states, such as charge-density wave, and discuss related vestigial states that emerge as a consequence of partial melting of the PDW order. We review and critically discuss the mounting experimental evidence for such PDW order in the cuprate superconductors, the status of the theoretical microscopic description of such order, and the current debate on whether the PDW is a mother order or another competing order in the cuprates. In addition, we give an overview of the weak coupling version of PDW order, Fulde–Ferrell–Larkin–Ovchinnikov states, in the context of cold atom systems, unconventional superconductors, and noncentrosymmetric and Weyl materials.

scholarly journals Hidden Pair-Density-Wave Order in Cuprate Superconductors

2019 ◽  
Vol 32 (9) ◽  
pp. 2745-2749 ◽  
Author(s):  
Shiping Feng ◽  
Deheng Gao ◽  
Yiqun Liu ◽  
Yingping Mou ◽  
Shuning Tan
Keyword(s):  
Cuprate Superconductors ◽  
Density Wave ◽  
Pair Density ◽  
Pair Density Wave

scholarly journals Microscopic mechanism for fluctuating pair density wave

2021 ◽  
Author(s):  
Chandan Setty ◽  
Laura Fanfarillo ◽  
Peter Hirschfeld
Keyword(s):  
Long Range ◽  
Center Of Mass ◽  
Density Wave ◽  
Interaction Strength ◽  
Solvable Model ◽  
Cold Atom ◽  
Temperature Phase ◽  
Microscopic Mechanism ◽  
Pair Density ◽  
Pair Density Wave

Abstract In weakly coupled BCS superconductors, only electrons within a tiny energy window around the Fermi energy, EF, form Cooper pairs. This may not be the case in strong coupling superconductors such as cuprates, FeSe, SrTiO3 or cold atom condensates where the pairing scale, EB, becomes comparable or even larger than EF. In cuprates, for example, a plausible candidate for the pseudogap state at low doping is a fluctuating pair density wave, but no microscopic model has yet been found which supports such a state. In this work, we write an analytically solvable model to examine pairing phases in the strongly coupled regime and in the presence of anisotropic interactions. Already for moderate coupling we find an unusual finite temperature phase, below an instability temperature Ti, where local pair correlations have non-zero center-of-mass momentum but lack long-range order. At low temperature, this fluctuating pair density wave can condense either to a uniform d-wave super- conductor or the widely postulated pair-density wave phase depending on the interaction strength. Our minimal model offers a unified microscopic framework to understand the emergence of both fluctuating and long range pair density waves in realistic systems.

scholarly journals Unconventional quantum vortex matter state hosts quantum oscillations in the underdoped high-temperature cuprate superconductors

2021 ◽  
Vol 118 (7) ◽  
pp. e2021216118
Author(s):  
Yu-Te Hsu ◽  
Máté Hartstein ◽  
Alexander J. Davies ◽  
Alexander J. Hickey ◽  
Mun K. Chan ◽  
...  
Keyword(s):  
Ground State ◽  
Electrical Transport ◽  
Cuprate Superconductors ◽  
Magnetic Hysteresis ◽  
Density Wave ◽  
Vortex Matter ◽  
Quantum Oscillations ◽  
Quantum Vortex ◽  
Pair Density ◽  
Millikelvin Temperatures

A central question in the underdoped cuprates pertains to the nature of the pseudogap ground state. A conventional metallic ground state of the pseudogap region has been argued to host quantum oscillations upon destruction of the superconducting order parameter by modest magnetic fields. Here, we use low applied measurement currents and millikelvin temperatures on ultrapure single crystals of underdoped YBa2Cu3O6+x to unearth an unconventional quantum vortex matter ground state characterized by vanishing electrical resistivity, magnetic hysteresis, and nonohmic electrical transport characteristics beyond the highest laboratory-accessible static fields. A model of the pseudogap ground state is now required to explain quantum oscillations that are hosted by the bulk quantum vortex matter state without experiencing sizable additional damping in the presence of a large maximum superconducting gap; possibilities include a pair density wave.

scholarly journals Fractionalized pair density wave in the pseudogap phase of cuprate superconductors

2019 ◽  
Vol 100 (22) ◽  
Author(s):  
D. Chakraborty ◽  
M. Grandadam ◽  
M. H. Hamidian ◽  
J. C. S. Davis ◽  
Y. Sidis ◽  
...  
Keyword(s):  
Cuprate Superconductors ◽  
Density Wave ◽  
Pseudogap Phase ◽  
Pair Density ◽  
Pair Density Wave

scholarly journals QUASIPARTICLE SPECTROSCOPY AND HIGH-FIELD PHASE DIAGRAMS OF CUPRATE SUPERCONDUCTORS – AN INVESTIGATION OF COMPETING ORDERS AND QUANTUM CRITICALITY

2005 ◽  
Vol 19 (01n03) ◽  
pp. 285-294 ◽  
Author(s):  
N.-C. YEH ◽  
C.-T. CHEN ◽  
V. S. ZAPF ◽  
A. D. BEYER ◽  
C. R. HUGHES ◽  
...  
Keyword(s):  
High Field ◽  
Cuprate Superconductors ◽  
Density Wave ◽  
Quantum Critical Point ◽  
Spin Density Wave ◽  
Tunneling Current ◽  
Scanning Tunneling ◽  
Field Phase ◽  
Competing Order ◽  
Competing Orders

We present scanning tunneling spectroscopic and high-field thermodynamic studies of hole- and electron-doped (p- and n-type) cuprate superconductors. Our experimental results are consistent with the notion that the ground state of cuprates is in proximity to a quantum critical point (QCP) that separates a pure superconducting (SC) phase from a phase comprised of coexisting SC and a competing order, and the competing order is likely a spin-density wave (SDW). The effect of applied magnetic field, tunneling current, and disorder on the revelation of competing orders and on the low-energy excitations of the cuprates is discussed.

scholarly journals Locally commensurate charge-density wave with three-unit-cell periodicity in YBa2Cu3Oy

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Igor Vinograd ◽  
Rui Zhou ◽  
Michihiro Hirata ◽  
Tao Wu ◽  
Hadrien Mayaffre ◽  
...  
Keyword(s):  
Charge Density ◽  
Cuprate Superconductors ◽  
Density Wave ◽  
Phase Relationship ◽  
Charge Density Waves ◽  
X Ray Scattering ◽  
Pair Density ◽  
Unit Cells ◽  
Lock In ◽  
Phase Slips

AbstractIn order to identify the mechanism responsible for the formation of charge-density waves (CDW) in cuprate superconductors, it is important to understand which aspects of the CDW’s microscopic structure are generic and which are material-dependent. Here, we show that, at the local scale probed by NMR, long-range CDW order in YBa2Cu3Oy is unidirectional with a commensurate period of three unit cells (λ = 3b), implying that the incommensurability found in X-ray scattering is ensured by phase slips (discommensurations). Furthermore, NMR spectra reveal a predominant oxygen character of the CDW with an out-of-phase relationship between certain lattice sites but no specific signature of a secondary CDW with λ = 6b associated with a putative pair-density wave. These results shed light on universal aspects of the cuprate CDW. In particular, its spatial profile appears to generically result from the interplay between an incommensurate tendency at long length scales, possibly related to properties of the Fermi surface, and local commensuration effects, due to electron-electron interactions or lock-in to the lattice.

scholarly journals MAGNETIC FIELD TUNING OF CHARGE AND SPIN ORDER IN THE CUPRATE SUPERCONDUCTORS

2002 ◽  
Vol 16 (20n22) ◽  
pp. 3156-3163 ◽  
Author(s):  
A. POLKOVNIKOV ◽  
S. SACHDEV ◽  
M. VOJTA ◽  
E. DEMLER
Keyword(s):  
Magnetic Field ◽  
Ground State ◽  
Charge Density Wave ◽  
Cuprate Superconductors ◽  
Density Wave ◽  
Spin Density Wave ◽  
Scanning Tunneling ◽  
Tunneling Microscopy ◽  
Spin Order ◽  
New Information

Recent neutron scattering, nuclear magnetic resonance, and scanning tunneling microscopy experiments have yielded valuable new information on the interplay between charge and spin density wave order and superconductivity in the cuprate superconductors, by using a perpendicular magnetic field to tune the ground state properties. We compare the results of these experiments with the predictions of a theory which assumed that the ordinary superconductor was proximate to a quantum transition to a superconductor with co-existing spin/charge density wave order.

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