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 (22)

• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Theory of the striped superconductor
• Renormalization group theory of nematic ordering in d-wave superconductors
• 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${}_4$
• Stability of RVB hole stripes in high-temperature superconductors
• Valence bond solid order near impurities in two-dimensional quantum antiferromagnets
• d-Wave Checkerboard Order in Cuprates
• Theory of Resistivity Upturns in Metallic Cuprates
• Nodal quasiparticles and the onset of spin density wave order in the cuprates
• Extinction of quasiparticle interference in underdoped cuprates with coexisting order
• Complementary Pair Density Wave and d-wave Checkerboard Order in High Temperature Superconductors
• s-wave Superconductivity Phase Diagram in the Inhomogeneous Two-Dimensional Attractive Hubbard Model
• Imaging bond order near non-magnetic impurities in square lattice antiferromagnets
• Electronic properties of disordered valence-bond stripes in cuprate superconductors
• Nodal-antinodal dichotomy and magic doping fractions in a stripe ordered antiferromagnet
• Magnetic field-induced soft mode in spin-gapped high-Tc superconductors
• Competition between Superconductivity and Charge Density Waves: the Role of Disorder
• Inferring effective interactions from the local density of states: application to STM data from Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Isotope effect on superconductivity in Josephson coupled stripes in underdoped cuprates