Distinguishing Patterns of Charge Order: Stripes or Checkerboards

Abstract

In two dimensions, quenched disorder always rounds transitions involving the breaking of spatial symmetries so, in practice, it can often be difficult to infer what form the symmetry breaking would take in the ``ideal,'' zero disorder limit. We discuss methods of data analysis which can be useful for making such inferences, and apply them to the problem of determining whether the preferred order in the cuprates is ``stripes'' or ``checkerboards.'' In many cases we show that the experiments clearly indicate stripe order, while in others (where the observed correlation length is short), the answer is presently uncertain.

10 pages, 7 figures, 1 table, 69 references; 2 new footnotes

References in corpus (4)

• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• From stripe to checkerboard order on the square lattice in the presence of quenched disorder
• Competing orders in thermally fluctuating superconductors in two dimensions
• STM/STS Study on 4a X 4a Electronic Charge Order of Superconducting Bi2Sr2CaCu2O8+d

Cited by in corpus (42)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Theory of Intertwined Orders in High Temperature Superconductors
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• A quantum phase transition from triangular to stripe charge order in NbSe${}_2$
• Theory of the striped superconductor
• Renormalization group theory of nematic ordering in d-wave superconductors
• Rotated stripe order and its competition with superconductivity in La${}_{1.88}$Sr${}_{0.12}$CuO${}_4$
• Disorder-Induced Static Antiferromagnetism in Cuprate Superconductors
• STM Studies of TbTe3: Evidence for a fully Incommensurate Charge Density Wave
• Properties of charge density waves in La${}_{2-x}$Ba${}_x$CuO${}_4$
• Disorder-induced freezing of dynamical spin fluctuations in underdoped cuprates
• Stability of RVB hole stripes in high-temperature superconductors
• d-Wave Checkerboard Order in Cuprates
• Valence bond solid order near impurities in two-dimensional quantum antiferromagnets
• 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
• Complementary Pair Density Wave and d-wave Checkerboard Order in High Temperature Superconductors
• Evolution of Charge and Pair Density Modulations in Overdoped Bi2Sr2CuO6+delta
• s-wave Superconductivity Phase Diagram in the Inhomogeneous Two-Dimensional Attractive Hubbard Model
• Imaging bond order near non-magnetic impurities in square lattice antiferromagnets
• Single domain stripe order in a high-temperature superconductor
• Electronic properties of disordered valence-bond stripes in cuprate superconductors
• Effects of impurities and vortices on the low-energy spin excitations in high-Tc materials
• Critical Nematic Correlations Throughout the Doping Range in BSCCO
• Nodal-antinodal dichotomy and magic doping fractions in a stripe ordered antiferromagnet
• Stripe Symmetry of Short-range Charge Density Waves in Cuprate Superconductors
• Inferring effective interactions from the local density of states: application to STM data from Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Magnetic field-induced soft mode in spin-gapped high-Tc superconductors
• Competition between Superconductivity and Charge Density Waves: the Role of Disorder
• Real-space observation of charge ordering in epitaxial La2-xSrxCuO4 films
• Impurity induced phase competition and supersolidity
• Electronic structure of topological defects in the pair density wave superconductor
• Direct Visualization of a Disorder Driven Electronic Smectic Phase in Nonsymmorphic Square-Net Semimetal GdSbTe
• Optically-induced Umklapp shift currents in striped cuprates
• Isotope effect on superconductivity in Josephson coupled stripes in underdoped cuprates
• Impurity-mediated early condensation of an atomic layer electronic crystal