The hubbard model

DP Arovas, E Berg, SA Kivelson… - Annual review of …, 2022 - annualreviews.org
The repulsive Hubbard model has been immensely useful in understanding strongly
correlated electron systems and serves as the paradigmatic model of the field. Despite its …

A common thread: The pairing interaction for unconventional superconductors

DJ Scalapino - Reviews of Modern Physics, 2012 - APS
The structures, the phase diagrams, and the appearance of a neutron resonance signaling
an unconventional superconducting state provide phenomenological evidence relating the …

Stripe order in the underdoped region of the two-dimensional Hubbard model

BX Zheng, CM Chung, P Corboz, G Ehlers, MP Qin… - Science, 2017 - science.org
Competing inhomogeneous orders are a central feature of correlated electron materials,
including the high-temperature superconductors. The two-dimensional Hubbard model …

Studying two-dimensional systems with the density matrix renormalization group

EM Stoudenmire, SR White - Annu. Rev. Condens. Matter Phys., 2012 - annualreviews.org
The density matrix renormalization group (DMRG) is one of the most powerful numerical
methods for studying two-dimensional quantum lattice systems, despite a perception that it is …

Absence of superconductivity in the pure two-dimensional Hubbard model

M Qin, CM Chung, H Shi, E Vitali, C Hubig… - Physical Review X, 2020 - APS
We study the superconducting pairing correlations in the ground state of the doped Hubbard
model—in its original form without hopping beyond nearest neighbor or other perturbing …

Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors

EW Huang, CB Mendl, S Liu, S Johnston, HC Jiang… - Science, 2017 - science.org
Upon doping, Mott insulators often exhibit symmetry breaking where charge carriers and
their spins organize into patterns known as stripes. For high–transition temperature cuprate …

Lattice symmetry breaking in cuprate superconductors: stripes, nematics, and superconductivity

M Vojta - Advances in Physics, 2009 - Taylor & Francis
This article gives an overview of both theoretical and experimental developments
concerning states with lattice symmetry breaking in the cuprate high-temperature …

Robust -Wave Superconductivity in the Square-Lattice Model

S Gong, W Zhu, DN Sheng - Physical Review Letters, 2021 - APS
Unravelling competing orders emergent in doped Mott insulators and their interplay with
unconventional superconductivity is one of the major challenges in condensed matter …

New trends in density matrix renormalization

KA Hallberg - Advances in Physics, 2006 - Taylor & Francis
The density matrix renormalization group (DMRG) has become a powerful numerical
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …

Stripe order enhanced superconductivity in the Hubbard model

HC Jiang, SA Kivelson - Proceedings of the National …, 2022 - National Acad Sciences
Unidirectional (“stripe”) charge density wave order has now been established as a
ubiquitous feature in the phase diagram of the cuprate high-temperature superconductors …