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This article will give an overview on both theoretical and experimental developments concerning states with lattice symmetry breaking in the cuprate high-temperature superconductors. Recent experiments have provided evidence for states with…

Superconductivity · Physics 2009-11-11 Matthias Vojta

We discuss how the quantum-critical-point scenario for high-T_c superconductors with density-driven charge order or stripe formation finds support from recent EXAFS experiments. Our phase diagram has the interesting feature, which is also…

Superconductivity · Physics 2007-05-23 C. Di Castro , M. Grilli , S. Caprara

We perform extensive auxiliary-field quantum Monte Carlo (AFQMC) calculations for the three-band Hubbard (Emery) model in order to study the ground-state properties of Copper-Oxygen planes in the cuprates. Employing cutting-edge AFQMC…

Superconductivity · Physics 2021-01-04 Adam Chiciak , Ettore Vitali , Shiwei Zhang

Within a model that supports stripe spin and charge order coexisting with a d$_{x^2-y^2}$-wave superconducting phase, we study the self-consistently obtained electronic structure and the associated transverse dynamical spin susceptibility.…

Superconductivity · Physics 2009-11-10 Brian M. Andersen , Per Hedegard

We study the influence of disorder and lattice effects on the striped phase and the incommensurate spin fluctuations of the cuprates and nickelates. Starting from a phenomenological model of a discrete quantum string on a lattice with…

Strongly Correlated Electrons · Physics 2007-05-23 N. Hasselmann , A. H. Castro Neto , C. Morais Smith , Y. Dimashko

As a function of applied field, we find a rich variety of ordered and partially-ordered vortex lattice configurations in systems with square or triangular arrays of pinning sites. We present formulas that predict the matching fields at…

Superconductivity · Physics 2009-10-31 C. Reichhardt , C. J. Olson , Franco Nori

Understanding the interplay between topology and ordering in systems on curved manifolds, governed by anisotropic interactions, takes a central role in many fields of physics. In this paper, we investigate the effects of lattice symmetry…

Soft Condensed Matter · Physics 2021-01-29 Andraž Gnidovec , Simon Čopar

We present an unbiased mean-field analysis of magnetic and charge orders in the two-dimensional Hubbard model on a square lattice, both at zero and finite temperatures. Unrestricted Hartree-Fock calculations on large finite lattices are…

Strongly Correlated Electrons · Physics 2023-08-09 Robin Scholle , Pietro M. Bonetti , Demetrio Vilardi , Walter Metzner

We present a new family of gauge invariant non-local order parameters for (non-abelian) discrete gauge theories on a Euclidean lattice, which are in one-to-one correspondence with the excitation spectrum that follows from the representation…

Mesoscale and Nanoscale Physics · Physics 2009-04-02 F. A. Bais , J. C. Romers

Smectic materials represent a unique state between fluids and solids, characterized by orientational and partial positional order, making them notoriously difficult to model, particularly in confining geometries. We propose a complex order…

Soft Condensed Matter · Physics 2023-03-22 Jack Paget , Marco G. Mazza , Andew J. Archer , Tyler N. Shendruk

The relation between d-wave superconductivity and stripes is fundamental to the understanding of ordered phases in cuprates. While experimentally both phases are found in close proximity, numerical studies on the related Fermi-Hubbard model…

Charge order has recently been identified as a leading competitor of high-temperature superconductivity in moderately doped cuprates. We provide a survey of universal and materials-specific aspects of this phenomenon, with emphasis on…

Strongly Correlated Electrons · Physics 2021-02-19 Alex Frano , Santiago Blanco-Canosa , Bernhard Keimer , Robert J Birgeneau

A phase diagram is drawn in a parameter space of the nearly half-filled single band two-dimensional Hubbard model with U/t, t'/t and n as the parameters, U, t, t' and n being the on-site interaction, the nearest and second nearest neighbor…

Superconductivity · Physics 2016-08-15 Hisashi Kondo , Tôru Moriya

Order parameters based on spherical harmonics and Fourier coefficients already play a significant role in condensed matter research in the context of systems of spherical or point particles. Here, we extend these types of order parameter to…

Soft Condensed Matter · Physics 2010-12-22 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

We analyze the symmetry and the nodal structure of the superconducting order parameter in a cubic ferromagnet, such as ZrZn$_2$. We demonstrate how the order parameter symmetry evolves when the electromagnetic interaction of the conduction…

Superconductivity · Physics 2009-11-07 K. V. Samokhin , M. B. Walker

A model is introduced describing the interplay between superconductivity and spin-ordering. It is characterized by on-site repulsive electron-electron interactions, causing antiferromagnetism, and nearest-neighbor attractive interactions,…

Superconductivity · Physics 2009-10-31 C. N. A. van Duin , J. Zaanen

Charge-ordered ground states permeate the phenomenology of 3d-based transition metal oxides, and more generally represent a distinctive hallmark of strongly-correlated states of matter. The recent discovery of charge order in various…

Experiments carried over the last years on the underdoped cuprates have revealed a variety of symmetry-breaking phenomena in the pseudogap state. Charge-density waves, breaking of $C_{4}$ rotational symmetry as well as time-reversal…

Strongly Correlated Electrons · Physics 2018-05-02 Pavel A. Volkov , Konstantin B. Efetov

General theory of d-wave quasiparticles coupled to phase fluctuations of superconducting order parameter is discussed. In the charge sector the superfluid density is found to conform to Uemura scaling, and the charge renormalization factor…

Superconductivity · Physics 2009-11-10 Igor F. Herbut

Empirical evidence in heavy fermion, pnictide, and other systems suggests that unconventional superconductivity appears associated to some form of real-space electronic order. For the cuprates, despite several proposals, the emergence of…

Superconductivity · Physics 2015-10-05 M. Capati , S. Caprara , C. Di Castro , M. Grilli , G. Seibold , J. Lorenzana