From stripe to checkerboard order on the square lattice in the presence of quenched disorder

Abstract

We discuss the effects of quenched disorder on a model of charge density wave (CDW) ordering on the square lattice. Our model may be applicable to the cuprate superconductors, where a random electrostatic potential exists in the CuO2 planes as a result of the presence of charged dopants. We argue that the presence of a random potential can affect the unidirectionality of the CDW order, characterized by an Ising order parameter. Coupling to a unidirectional CDW, the random potential can lead to the formation of domains with 90 degree relative orientation, thus tending to restore the rotational symmetry of the underlying lattice. We find that the correlation length of the Ising order can be significantly larger than the CDW correlation length. For a checkerboard CDW on the other hand, disorder generates spatial anisotropies on short length scales and thus some degree of unidirectionality. We quantify these disorder effects and suggest new techniques for analyzing the local density of states (LDOS) data measured in scanning tunneling microscopy experiments.

arXiv comment10 pages, 11 figures; added reference

References in corpus (17)

• How to detect fluctuating order in the high-temperature superconductors
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Elastic theory of flux lattices in presence of weak disorder
• Coexistence of, and Competition between, Superconductivity and Charge-Stripe Order in La(1.6-x)Nd(0.4)Sr(x)CuO(4)
• Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
• Local Ordering in the Pseudogap State of the High-T${}_c$ Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Spatially modulated "Mottness" in La2-xBaxCuO4
• Vortex-glass phases in type-II superconductors
• Neutron Scattering Study of Spin Density Wave Order in the Superconducting State of Excess-Oxygen-Doped La2CuO4+y
• Topological Defects in the Random-Field XY Model and the Pinned Vortex Lattice to Vortex Glass Transition in Type-II Superconductors
• Topological Defects in the Random-Field XY Model and Randomly Pinned Vortex Lattices
• Absence of Two-Dimensional Bragg Glasses
• Periodic Coherence Peak Height Modulations in Superconducting BSCCO
• Ground States and Defect Energies of the Two-dimensional XY Spin Glass from a Quasi-Exact Algorithm
• Phenomenological lattice model for dynamic spin and charge fluctuations in the cuprates
• Pinning of stripes in cuprate superconductors
• Thermal melting of density waves on the square lattice

Cited by in corpus (61)

• Nematic Fermi Fluids in Condensed Matter Physics
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Resonant x-ray scattering studies of charge order in cuprates
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Quenched disorder and vestigial nematicity in the pseudo-gap regime of the cuprates
• A quantum phase transition from triangular to stripe charge order in NbSe${}_2$
• Direct observation of the proliferation of ferroelectric loop domains and vortex-antivortex pairs
• Machine Learning in Electronic Quantum Matter Imaging Experiments
• Theory of the striped superconductor
• Topological Defects Coupling Smectic Modulations to Intra-unit-cell Nematicity in Cuprate
• Ashkin-Teller criticality and pseudo first-order behavior in a frustrated Ising model on the square lattice
• Distinguishing Patterns of Charge Order: Stripes or Checkerboards
• Transport near the Ising-nematic quantum critical point of metals in two dimensions
• Commensurate Stripes and Phase Coherence in Manganites Revealed with Cryogenic Scanning Transmission Electron Microscopy
• Renormalization group theory of nematic ordering in d-wave superconductors
• Commensurate $4a_0$ period Charge Density Modulations throughout the $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+x}$ Pseudogap Regime
• Imaging nanoscale Fermi surface variations in an inhomogeneous superconductor
• Disorder-Induced Static Antiferromagnetism in Cuprate Superconductors
• Scale-invariant hyperscaling-violating holographic theories and the resistivity of strange metals with random-field disorder
• Bending and Breaking of Stripes in a Charge-Ordered Manganite
• Impact of Quenched Oxygen Disorder on Charge Density Wave Order in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Properties of charge density waves in La${}_{2-x}$Ba${}_x$CuO${}_4$
• Superconducting d-wave stripes in cuprates: Valence bond order coexisting with nodal quasiparticles
• Disorder-induced freezing of dynamical spin fluctuations in underdoped cuprates
• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Disorder- and Field-Induced Antiferromagnetism in Cuprate Superconductors
• Disorder Induced Suppression of CDW Long Range Order: STM Study of Pd-intercalated ErTe3
• Valence bond solid order near impurities in two-dimensional quantum antiferromagnets
• Two routes to magnetic order by disorder in underdoped cuprates
• Dimensional Crossover of Charge-Density Wave Correlations in the Cuprates
• Crisscrossed stripe order from interlayer tunneling in hole-doped cuprates
• Theory of Resistivity Upturns in Metallic Cuprates
• Nodal quasiparticles and the onset of spin density wave order in the cuprates
• Uniaxial Pressure Induced Stripe Order Rotation in La${}_{1.88}$Sr${}_{0.12}$CuO${}_4$
• Extinction of quasiparticle interference in underdoped cuprates with coexisting order
• Imaging bond order near non-magnetic impurities in square lattice antiferromagnets
• Cold-spots and glassy nematicity in underdoped cuprates
• Noise Predictions for STM in Systems with Local Electron Nematic Order
• Electronic properties of disordered valence-bond stripes in cuprate superconductors
• Modeling a striped pseudogap state
• Effects of impurities and vortices on the low-energy spin excitations in high-Tc materials
• Properties of the Superfluid in the Disordered Bose-Hubbard Model
• Critical Nematic Correlations Throughout the Doping Range in BSCCO
• Collective Dynamics and Strong Pinning near the Onset of Charge Order in La${}_{1.48}$Nd${}_{0.4}$Sr${}_{0.12}$CuO${}_4$
• Nodal-antinodal dichotomy and magic doping fractions in a stripe ordered antiferromagnet
• Disorder Induced Stripes in d-Wave Superconductors
• Magnetic Excitations of Coupled Spin Ladders: a Quantum Monte Carlo Study
• Response to comment on "Broken translational and rotational symmetry via charge stripe order in underdoped YBa2Cu3O6+y"
• Electronic spectral function in fractionalized Pair Density Wave scenario
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• Magnetic field-induced soft mode in spin-gapped high-Tc superconductors
• Photoemission signatures of valence-bond stripes in cuprates: Long-range vs. short-range order
• Pinning of stripes by local structural distortions in cuprate high-Tc superconductors
• Interplay between pair density waves and random field disorders in the pseudogap regime of cuprate superconductors
• $d$-Density Wave (DDW) Scenario Description of the New Hidden Charge Order in Cuprates
• Impurity induced phase competition and supersolidity
• Charge density wave solutions of the Hubbard model in the composite operator formalism
• Fluctuating charge order in the cuprates: spatial anisotropy and feedback from superconductivity
• Direct Visualization of a Disorder Driven Electronic Smectic Phase in Nonsymmorphic Square-Net Semimetal GdSbTe