Spin and pair density wave glasses

Abstract

Spontaneous breaking of translational symmetry---known as `density wave' order---is common in nature. However such states are strongly sensitive to impurities or other forms of frozen disorder leading to fascinating glassy phenomena. We analyze impurity effects on a particularly ubiquitous form of broken translation symmetry in solids: a Spin Density Wave (SDW) with spatially modulated magnetic order. Related phenomena occur in Pair Density Wave (PDW) superconductors where the superconducting order is spatially modulated. For weak disorder, we find that the SDW / PDW order can generically give way to a SDW / PDW glass---new phases of matter with a number of striking properties, which we introduce and characterize here. In particular, they exhibit an interesting combination of conventional (symmetry-breaking) and spin glass (Edwards-Anderson) order. This is reflected in the dynamic response of such a system, which---as expected for a glass---is extremely slow in certain variables, but---surprisingly---is fast in others. Our results apply to all uniaxial metallic SDW systems where the ordering vector is incommensurate with the crystalline lattice. In addition, the possibility of a PDW glass has important consequences for some recent theoretical and experimental work on $L{a}_{2-x}B{a}_{x}C{u}_2{O}_4$.

10 pages, 5 figures

References in corpus (8)

• Theory of Intertwined Orders in High Temperature Superconductors
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
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• Evidence of Andreev bound states as a hallmark of the FFLO phase in $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$
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• Stripe melting and quantum criticality in correlated metals

Cited by in corpus (15)

• Dual gauge field theory of quantum liquid crystals in three dimensions
• Theory of magnetic skyrmion glass
• Neutron scattering study of spin ordering and stripe pinning in superconducting La${}_{1.93}$Sr${}_{0.07}$CuO${}_4$
• Stripe melting, a transition between weak and strong symmetry protected topological phases
• Glass-induced enhancement of superconducting $T_c$: Pairing via dissipative mediators
• Higgs Modes in the Pair Density Wave Superconducting State
• Cooperative coupling of static magnetism and bulk superconductivity in the stripe phase of La_2-xBa_xCuO_4: Pressure- and doping-dependent studies
• Magnetostriction and magneto-structural domains in antiferromagnetic YBa${}_2$Cu${}_3$O${}_6$
• Theory of pair density wave on a quasi-one-dimensional lattice in the Hubbard model
• Robust superconductivity and fragile magnetism induced by the strong Cu impurity scattering in the high-pressure phase of FeSe
• Interplay between pair density waves and random field disorders in the pseudogap regime of cuprate superconductors
• Electronic structure of topological defects in the pair density wave superconductor
• Frustrated Kondo chains and glassy magnetic phases on the pyrochlore lattice
• Observation of Subharmonic Charge-Density-Wave Correlations in La-Based Cuprates
• Strange metal and Fermi arcs from disordering spin stripes