The significance of "stripes" in the physics of the cuprates, the Hubbard model, and other highly correlated electronic systems

Abstract

"Stripes" - meaning unidirectional charge-density-waves, sometimes (but not always) accompanied by spin-density-waves with twice the period - are now known to arise in broad swathes of the cuprate phase diagram, and appear as a strong ordering tendency in numerical studies of Hubbard-like models of highly correlated electron systems. Jan Zaanen's work played a seminal role in predicting their existence, and exploring their possible significance. They are {\it not} related to any weak-coupling physics associated with some form of Fermi-surface nesting. And whether one likes them or not, they are surprisingly difficult to avoid; in the Hubbard model, for example, they often appear as an alternative order that can out-compete the otherwise favored $d$-wave superconductivity.

References in corpus (32)

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• Fermi surface nesting and the origin of Charge Density Waves in metals
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• The Hubbard Model
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Coexistence of superconductivity with partially filled stripes in the Hubbard model
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Ground state phase diagram of the doped Hubbard model on the 4-leg cylinder
• Alternative route to charge density wave formation in multiband systems
• Doping dependence of the coupling of electrons to bosonic modes in the single-layer high-temperature Bi2Sr2CuO6 superconductor
• Ideal charge density wave order in the high-field state of superconducting YBCO
• Geometry Dependence of the Sign Problem
• Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Variational Benchmarks for Quantum Many-Body Problems
• Charge order at high temperature in cuprate superconductors
• Intertwined spin, charge and pair correlations in the two-dimensional Hubbard model in the thermodynamic limit
• Charge density waves in YBa${}_2$Cu${}_3$O${}_{6.67}$ probed by resonant x-ray scattering under uniaxial compression
• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
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• Designing the stripe-ordered cuprate phase diagram through uniaxial-stress
• Intertwined states at finite temperatures in the Hubbard model
• Dynamic charge order from strong correlations in the cuprates
• Superconductivity enhancement and particle-hole asymmetry: interplay with electron attraction in doped Hubbard model

Cited by in corpus (2)

• Photodynamic melting of phase-reversed charge stripes and enhanced condensation
• Enhanced superconducting correlations in the Emery model and its connections to strange metallic transport and normal state coherence