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We review several of the normal state properties of the cuprates in an attempt to establish an organizing principle from which pseudogap phenomena, broad spectral features, $T-$linear resistivity, and spectral weight transfer emerge. We…

Strongly Correlated Electrons · Physics 2007-05-23 Philip Phillips

The fermionic Hubbard model plays a fundamental role in the description of strongly correlated materials. Here we report on the realization of this Hamiltonian using a repulsively interacting spin mixture of ultracold $^{40}$K atoms in a 3D…

Strongly Correlated Electrons · Physics 2010-04-06 U. Schneider , L. Hackermuller , S. Will , Th. Best , I. Bloch , T. A. Costi , R. W. Helmes , D. Rasch , A. Rosch

Using a strong disorder real-space renormalization group (RG), we study the phase diagram of a fully disordered chain of interacting bosons. Since this approach does not suffer from run-away flows, it allows a direct study of the insulating…

Disordered Systems and Neural Networks · Physics 2009-11-13 Ehud Altman , Yariv Kafri , Anatoli Polkovnikov , Gil Refael

The organic system, $\kappa$-[(BEDT-TTF)$_{1-x}$(BEDT-STF)$_x$]$_2$Cu$_2$(CN)$_3$, showing the Mott transition between a nonmagnetic Mott insulating (NMI) state and a Fermi liquid (FL), is systematically studied by calorimetric…

Strongly Correlated Electrons · Physics 2023-02-01 Emre Yesil , Shusaku Imajo , Satoshi Yamashita , Hiroki Akutsu , Yohei Saito , Andrej Pustogow , Atsushi Kawamoto , Yasuhiro Nakazawa

The resistivity maximum at a temperature $T=T_{\mathrm{max}}$ is a recurring feature of bandwidth-tuned Mott systems, yet its meaning remains controversial: is it a coherence-incoherence crossover of an electronically homogeneous metal, or…

We theoretically investigate, using non-perturbative strong correlation techniques, Mott insulating phases and magnetic ordering of two-component fermions in a two-dimensional double-well optical lattice. At filling of two fermions per…

Quantum Gases · Physics 2011-12-13 Xin Wang , Qi Zhou , S. Das Sarma

We consider a one-dimensional bosonic gas on a ring lattice, in the presence of a localized barrier, and under the effect of an artificial gauge field. By means of exact diagonalization we study the persistent currents at varying…

Quantum Gases · Physics 2017-12-22 Geva Arwas , Doron Cohen , Frank Hekking , Anna Minguzzi

We investigate the role of disorder in the Mott-Hubbard transition based on the slave-rotor representation of the Hubbard model, where an electron is decomposed into a fermionic spinon for a spin degree of freedom and a bosonic rotor…

Strongly Correlated Electrons · Physics 2009-11-11 Ki-Seok Kim

Though most fermionic Mott insulators order at low temperatures, ordering is ancillary to their insulating behaviour. Our emphasis here is on disentangling ordering from the intrinsic strongly correlated physics of a doped half-filled band.…

Strongly Correlated Electrons · Physics 2009-11-10 Tudor D. Stanescu , Philip Phillips

One-dimensional Mott insulators can be described using the sine-Gordon model, an integrable quantum field theory that provides the low-energy effective description of several one-dimensional gapped condensed matter systems, including recent…

Strongly Correlated Electrons · Physics 2024-04-25 Frederik Møller , Botond C. Nagy , Márton Kormos , Gábor Takács

We discuss interacting and non-interacting one dimensional atomic systems trapped in an optical lattice plus a parabolic potential. We show that, in the tight-binding approximation, the non-interacting problem is exactly solvable in terms…

Other Condensed Matter · Physics 2009-11-11 Ana Maria Rey , Guido Pupillo , Charles W. Clark , Carl J. Williams

The dynamics of an ultracold dilute gas of bosonic atoms in an optical lattice can be described by a Bose-Hubbard model where the system parameters are controlled by laser light. We study the continuous (zero temperature) quantum phase…

Statistical Mechanics · Physics 2009-10-31 D. Jaksch , C. Bruder , J. I. Cirac , C. W. Gardiner , P. Zoller

Recent experimental realizations of artificial gauge fields for cold atoms are promising for generating steady states carrying a mass current in strongly correlated systems, such as the Bose-Hubbard model. Moreover, a homogeneous condensate…

Quantum Gases · Physics 2014-11-25 Sebastiano Peotta , Chih-Chun Chien , Massimiliano Di Ventra

We study light scattering from atoms in optical lattices at finite temperature. We examine the light scattered by fermions in the noninteracting regime and by bosons in the superfluid and Mott insulating regimes. We extend previous…

Quantum Physics · Physics 2015-05-04 James S. Douglas , Keith Burnett

We study the superfluid-Mott insulator (SF-MI) transition in an one-dimensional optical lattice system, and employ the Bose-Hubbard model in two dimension with a combined potential of an optical lattice in one direction and a confining…

Quantum Gases · Physics 2014-02-06 Motoyoshi Inoue , Keita Kobayashi , Yusuke Nakamura , Yoshiya Yamanaka

We study the effect of impurity pinning on a one-dimensional half-filled electron system, which is expressed in terms of a phase Hamiltonian with the charge degree of freedom. Within the classical treatment, the pinned state is examined…

Strongly Correlated Electrons · Physics 2009-11-10 Yoshikazu Suzumura , Masato Isobe

We present a class of holographic models that behave effectively as prototypes of Mott insulators, materials where electron-electron interactions dominate transport phenomena. The main ingredient in the gravity dual is that the gauge-field…

High Energy Physics - Theory · Physics 2017-02-01 Matteo Baggioli , Oriol Pujolas

We investigate the magnetism in tilted fermionic Mott insulators. With a small tilt, the fermions are still localized and form a Mott-insulating state, where the localized spins interact via antiferromagnetic exchange coupling. While the…

Quantum Gases · Physics 2025-11-26 Kazuaki Takasan , Masaki Tezuka

The correlation-driven Mott transition is commonly characterized by a drop in resistivity across the insulator-metal phase boundary; yet, the complex permittivity provides a deeper insight into the microscopic nature. We investigate the…

We study the particle-hole symmetry in the Hubbard model using ultracold fermionic atoms in an optical lattice. We demonstrate the mapping between charge and spin degrees of freedom and, in particular, show the occurrence of a state with…

Quantum Gases · Physics 2020-01-15 M. Gall , C. F. Chan , N. Wurz , M. Köhl