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We explore the effect of inhomogeneity on electronic properties of the two-dimensional Hubbard model on a square lattice using dynamical mean-field theory (DMFT). The inhomogeneity is introduced via modulated lattice hopping such that in…

Strongly Correlated Electrons · Physics 2019-09-27 Pramod Kumar , Tuomas I. Vanhala , Päivi Törmä

We present an analytic theory unraveling the microscopic mechanism of instabilities within interacting $D$-dimensional Fermi liquid. Our model consists of a $D$-dimensional electron gas subject to an instantaneous electron-electron…

Strongly Correlated Electrons · Physics 2025-01-03 Dmitry Miserev , Herbert Schoeller , Jelena Klinovaja , Daniel Loss

We consider the Ising phase of the antiferromagnetic XXZ Heisenberg chain on a finite-size lattice with N sites.We compute the large $N$ behavior of the spin stiffness, obtaining the correlation length \xi. We use our results to discuss the…

Strongly Correlated Electrons · Physics 2009-11-10 Shi-Jian Gu , Vitor M. Pereira , N. M. R. Peres

The compound LiAl_yTi_(2-y)O_4 undergoes a metal-to-insulator transition for y_c ~0 .33. This system, in the absence of strong electronic correlations, is a prototypical example of quantum site percolation. However, it is known that the…

Strongly Correlated Electrons · Physics 2010-11-17 F. Fazileh , R. J. Gooding , W. A. Atkinson , D. C. Johnston

We present a model for the metal-insulator transition in 2D, observed in the recent years. Our starting point consists of two ingredients only, which are ubiquitous in the experiments: Coulomb interactions and weak disorder spin-orbit…

Disordered Systems and Neural Networks · Physics 2015-06-24 George Kastrinakis

These lectures provide an introduction to the theory of disordered interacting electron systems. In particular, we concentrate on those aspects which are fundamental for the problem of the metal-insulator transition due to the interplay of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Carlo Di Castro , Roberto Raimondi

We search for marginal Fermi-liquid behavior in the two-band Hubbard model with one narrow band. We consider the limit of low electron densities in the bands and strong intraband and interband Hubbard interactions. We analyze the influence…

Strongly Correlated Electrons · Physics 2015-05-28 M. Yu. Kagan , V. V. Val'kov

We investigate nonmagnetic metal-insulator transition in the 1/5-depleted square lattice Hubbard model at half-filling within the 8-site cellular dynamical mean field theory. We find that a metal-insulator transition without any signatures…

Strongly Correlated Electrons · Physics 2014-08-19 Yuki Yanagi , Kazuo Ueda

We present a theory of the metal-insulator transition in a disordered two-dimensional electron gas. A quantum critical point, separating the metallic phase which is stabilized by electronic interactions, from the insulating phase where…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexander Punnoose , Alexander M. Finkel'stein

We use the dynamical mean-field approximation to study singularities in the self-energy and a two-particle irreducible vertex induced by the metal-insulator transition of the disordered Falicov-Kimball model. We set general conditions for…

Disordered Systems and Neural Networks · Physics 2014-08-12 V. Janis , V. Pokorny

We study the Mott transition in a frustrated Hubbard model with next-nearest neighbor hopping at half-filling. The interplay between interaction, dimensionality and geometric frustration closes the one-dimensional Mott gap and gives rise to…

Strongly Correlated Electrons · Physics 2012-09-19 Marcin Raczkowski , Fakher F. Assaad

In this work we study the two-orbital Hubbard model on a square lattice in the presence of hybridization between nearest-neighbor orbitals and a crystal-field splitting. We use a highly reliable numerical technique based on the density…

Strongly Correlated Electrons · Physics 2021-01-15 Y. Nunez-Fernandez , K. Hallberg

The four-site DCA method of including intersite correlations in the dynamical mean field theory is used to investigate the metal-insulator transition in the Hubbard model. At half filling a gap-opening transition is found to occur as the…

Strongly Correlated Electrons · Physics 2008-11-11 Emanuel Gull , Philipp Werner , Xin Wang , Matthias Troyer , A. J. Millis

We present the first instance of a disorder tuned Fermi-Bose crossover that could be realized in superconducting systems. More specifically, harnessing a non perturbative numerical technique we analyze the ground state behavior of a…

Superconductivity · Physics 2023-10-20 Madhuparna Karmakar , Rajesh Narayanan

Disordered hyperuniform many-body systems are exotic states of matter with novel optical, transport, and mechanical properties. These systems are characterized by an anomalous suppression of large-scale density fluctuations compared to…

Quantum Gases · Physics 2024-09-05 Haina Wang , Rhine Samajdar , Salvatore Torquato

A new decoupling scheme is developed for the Hubbard model which provides a unified description of the spin-symmetric (paramagnetic metallic and insulating) phases as well as the broken-symmetry AFI phase. Independent of magnetic ordering,…

Strongly Correlated Electrons · Physics 2007-05-23 Avinash Singh

The metal-insulator transition of the quarter-filled Hubbard model on triangular lattice is studied at the mean field level. We find a quasi-one dimensional metallic state with a collinear magnetic order competes closely with an insulating…

Strongly Correlated Electrons · Physics 2010-01-06 Tao Li

The strong coupling diagram technique is used for investigating states near the metal-insulator transition in the half-filled two-dimensional repulsive Hubbard model. The nonlocal third-order term is included in the irreducible part along…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

We use the density matrix renormalization group to study the quantum transitions that occur in the half-filled one-dimensional fermionic Hubbard model with onsite potential disorder. We find a transition from the gapped Mott phase with…

Strongly Correlated Electrons · Physics 2016-08-15 Ramesh V. Pai , Alexander Punnoose , Rudolf A. Römer

The $2d$ Hubbard model with nearest-neighbour hopping on the square lattice and an average of one electron per site is known to undergo an extended crossover from metallic to insulating behavior driven by proliferating antiferromagnetic…

Strongly Correlated Electrons · Physics 2020-03-19 Aaram J. Kim , Fedor Simkovic , Evgeny Kozik