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Sil, Maiti, and Chakrabarti (SMC) (Phys. Rev. Lett. 101, 076803 (2008), arXiv:0801.2670) introduce an aperiodic two-leg ladder network composed of atomic sites with on-site potentials distributed according to a quasiperiodic Aubry-Andre…

Disordered Systems and Neural Networks · Physics 2014-02-13 Sergej Flach , Carlo Danieli

A tight-binding model of a multi-leg ladder network with a continuous quasiperiodic modulation in both the site potential and the inter-arm hopping integral is considered. The model mimics optical lattices where ultra-cold fermionic or…

Mesoscale and Nanoscale Physics · Physics 2017-05-30 Santanu K. Maiti , Shreekantha Sil , Arunava Chakrabarti

In the framework of the tight binding approximation, we study a non-interacting model on the three-component dice lattice with real nearest-neighbor and complex next-nearest-neighbor hopping subjected to $\Lambda$- or V-type sublattice…

Quantum Gases · Physics 2020-05-19 Shujie Cheng , Gao Xianlong

A generalization of the Aubry-Andre model in two and three dimensions is introduced which allows for quasiperiodic hopping terms in addition to the quasiperiodic site potentials. This corresponds to an array of interstitial impurities…

Disordered Systems and Neural Networks · Physics 2007-05-23 Daniel Braak

Using the determinant quantum Monte Carlo method, we investigate the metal-insulator transition in the interacting disordered Hubbard model of a Lieb lattice, in which the system characterizes the flat band centered at the Fermi level. By…

Strongly Correlated Electrons · Physics 2022-12-06 Yueqi Li , Lingyu Tian , Tianxing Ma , Hai-Qing Lin

We study transport properties of the half-filled two-dimensional (2D) Hubbard model with spatially varying interactions, where a pattern of interacting and non-interacting sites is formed. We use Determinantal Quantum Monte Carlo method to…

Strongly Correlated Electrons · Physics 2014-08-15 Rubem Mondaini , Thereza Paiva

We investigate the zero-temperature metal-insulator transition in a one-dimensional two-component Fermi gas in the presence of a quasi-periodic potential resulting from the superposition of two optical lattices of equal intensity but…

Quantum Gases · Physics 2017-01-25 Sebastiano Pilati , Vipin Kerala Varma

We investigate the possibilities of a tight binding ladder network as a mesoscopic switching device. Several cases have been discussed in which any one or both the arms of the ladder can assume random, ordered or quasiperiodic distribution…

Mesoscale and Nanoscale Physics · Physics 2008-09-17 Shreekantha Sil , Santanu K. Maiti , Arunava Chakrabarti

We investigate localization properties in a two-coupled uniform chains with quasiperiodic modulation on interchain coupling strength. We demonstrate that this ladder is equivalent to a Aubry-Andre (AA) chain when two legs are symmetric.…

Disordered Systems and Neural Networks · Physics 2021-06-24 R. Wang , X. M. Yang , Z. Song

We study the three-dimensional Anderson model of localization with anisotropic hopping, i.e., weakly coupled chains and weakly coupled planes. In our extensive numerical study we identify and characterize the metal-insulator transition by…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. Milde , R. A. Roemer , M. Schreiber

We consider quantum wave propagation in one-dimensional quasiperiodic lattices. We propose an iterative construction of quasiperiodic potentials from sequences of potentials with increasing spatial period. At each finite iteration step the…

Materials Science · Physics 2015-06-19 C. Danieli , K. Rayanov , B. Pavlov , G. Martin , S. Flach

To investigate the influence of electronic interaction on the metal-insulator transition (MIT), we consider the Aubry-Andr\'{e} (or Harper) model which describes a quasiperiodic one-dimensional quantum system of non-interacting electrons…

Disordered Systems and Neural Networks · Physics 2009-10-31 Andrzej Eilmes , Uwe Grimm , Rudolf A. Roemer , Michael Schreiber

Unusual metallic states involving breakdown of the standard Fermi-liquid picture of long-lived quasiparticles in well-defined band states emerge at low temperatures near correlation-driven Mott transitions. Prominent examples are…

Materials Science · Physics 2018-11-14 L. Craco , M. S. Laad , S. Leoni

We investigate the influence of an unoccupied band on the transport properties of a strongly correlated electron system. For that purpose, additional orbitals are coupled to a Hubbard model via hybridization. The filling is one electron per…

Condensed Matter · Physics 2009-10-28 Stefan Blawid , Hoangh Anh Tuan , Takashi Yanagisawa , Peter Fulde

In the present paper we propose a doubly orbitally degenerate narrow-band model with correlated hopping. The peculiarity of the model is taking into account the matrix element of electron-electron interaction which describes intersite…

Strongly Correlated Electrons · Physics 2009-10-31 L. Didukh , Yu. Skorenkyy , Yu. Dovhopyaty , V. Hankevych

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 investigate the spectral and transport properties of a two-arm tight-binding ladder perturbed by an external magnetic field following an Aubry-Andr\'e-Harper profile. The varying magnetic flux trapped in consecutive ladder-cells…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Sk Sajid , Arunava Chakrabarti

Metal-insulator transitions in the paramagnetic phase of the two dimensional square lattice Hubbard model are studied using the dynamical cluster approximation with eight momentum cells. We show that both the interaction-driven and the…

Strongly Correlated Electrons · Physics 2009-07-25 Philipp Werner , Emanuel Gull , Olivier Parcollet , Andrew J. Millis

We review the latest developments in the field of the metal-insulator transition in strongly-correlated two-dimensional electron systems. Particular attention is given to recent discoveries of a sliding quantum electron solid and…

Strongly Correlated Electrons · Physics 2019-03-21 Alexander A. Shashkin , Sergey V. Kravchenko

We review recent experimental results on the metal-insulator transition and low-density phases in strongly-interacting, low-disordered Si-based two-dimensional electron systems. Special attention is given to the metallic state in…

Strongly Correlated Electrons · Physics 2021-12-13 A. A. Shashkin , S. V. Kravchenko
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