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We review analytical and numerical studies of correlated insulating states in twisted bilayer graphene, focusing on real-space lattice models constructions and their unbiased quantum many-body solutions. We show that by constructing…

强关联电子 · 物理学 2021-01-12 Yuan Da Liao , Xiao Yan Xu , Zi Yang Meng , Jian Kang

We investigate the role of strong Coulomb interactions beyond the standard Hubbard model in two distinct physical contexts. First, we analyze the superconducting phase transition occurring near the Mott metal-insulator transition. Second,…

强关联电子 · 物理学 2026-01-16 Karol I. Wysokiński , Marcin M. Wysokiński

We investigate effects of Coulomb interaction and hopping transport in the insulator phase of granular metals and quantum dot arrays. We consider a spatially periodic as well as an irregular array, including disorder in a form of a random…

介观与纳米尺度物理 · 物理学 2009-11-11 I. S. Beloborodov , A. V. Lopatin , V. M. Vinokur

In correlated electron systems the metallic character of a material can be strongly suppressed near an integer concentration of conduction electrons as Coulomb interactions forbid the double occupancy of local atomic orbitals. While the…

强关联电子 · 物理学 2021-05-19 Katherine Driscoll , Arnaud Ralko , Simone Fratini

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…

无序系统与神经网络 · 物理学 2009-10-31 Andrzej Eilmes , Uwe Grimm , Rudolf A. Roemer , Michael Schreiber

We study transport properties of a strongly correlated monoatomic chain coupled to metallic leads. Our system is described by tight binding Hubbard-like model in the limit of strong on-site electron-electron interactions in the wire. The…

介观与纳米尺度物理 · 物理学 2009-11-11 M. Krawiec , T. Kwapinski

The low energy spectrum of finite size metallic single-walled carbon nanotubes SWNTs) is determined. Starting from a tight binding model for the $p_{z}$ electrons, we derive the low energy Hamiltonian containing all relevant scattering…

介观与纳米尺度物理 · 物理学 2009-11-13 Leonhard Mayrhofer , Milena Grifoni

Effects of the electron-electron interaction on tunneling into a metal in ultra-high magnetic field (ultra-quantum limit) are studied. The range of the interaction is found to have a decisive effect both on the nature of the field-induced…

强关联电子 · 物理学 2007-10-30 Shan-Wen Tsai , D. L. Maslov , L. I. Glazman

We consider the effects of Coulomb interactions on single-wall carbon nanotubes using an on-site Hubbard interaction, u. For the (N,N) armchair tubes the low energy theory is shown to be identical to a 2-chain Hubbard model at half-filling,…

强关联电子 · 物理学 2009-10-28 Leon Balents , Matthew P. A. Fisher

Nematicity is a well known property of liquid crystals and has been recently discussed in the context of strongly interacting electrons. An electronic nematic phase has been seen by many experiments in certain strongly correlated materials,…

强关联电子 · 物理学 2014-11-21 Kun Fang , G. W. Fernando , A. K. Kocharian

Correlations between electrons and the effective dimensionality are crucial factors that shape the properties of an interacting electron system. For example, the onsite Coulomb repulsion, U, may inhibit, or completely block the intersite…

强关联电子 · 物理学 2007-05-23 T. Valla , P. D. Johnson , Z. Yusof , B. Wells , Q. Li , S. M. Loureiro , R. J. Cava , M. Mikami , Y. Mori , M. Yoshimura , T. Sasaki

Motivated by recent developments on the fabrication and control of semiconductor-based quantum dot qubits, we theoretically study a finite system of tunnel-coupled quantum dots with the electrons interacting through the long-range Coulomb…

介观与纳米尺度物理 · 物理学 2020-04-29 DinhDuy Vu , Sankar Das Sarma

Elucidating the physics of the single-orbital Hubbard model in its intermediate coupling regime is a key missing ingredient to our understanding of metal-insulator transitions in real materials. Using recent non-perturbative many-body…

强关联电子 · 物理学 2024-10-10 Maria Chatzieleftheriou , Silke Biermann , Evgeny A. Stepanov

We have observed anomalous transport properties for a 50 nm Bi dot in the Coulomb-blockade regime. Over a range of gate voltages, Coulomb blockade peaks are suppressed at low bias, and dramatic structure appears in the current at higher…

介观与纳米尺度物理 · 物理学 2007-05-23 D. E. Grupp , T. Zhang , G. J. Dolan , Ned S. Wingreen

The many-body ground state of a two-dimensional electron system can be tuned by Coulomb engineering through control of the dielectric environment. However, in conventional dielectrics the static permittivity is restricted to positive…

介观与纳米尺度物理 · 物理学 2026-03-10 Aravindh Shankar , Pramey Upadhyaya , Supriyo Datta

The ground-state magnetic phase diagram (including collinear and spiral states) of the single-band Hubbard model for the face-centered cubic lattice and related metal-insulator transition (MIT) are investigated within the slave-boson…

强关联电子 · 物理学 2016-10-26 M. A. Timirgazin , P. A. Igoshev , A. K. Arzhnikov , V. Yu. Irkhin

We study the interplay between Coulomb blockade and the Kondo effect in quantum dots. We use a self-consistent scheme which describes mesoscopic devices in terms of a collective phase variable (slave rotor) and quasiparticle degrees of…

介观与纳米尺度物理 · 物理学 2009-11-10 S. Florens , P. San Jose , F. Guinea , A. Georges

The two-band Hubbard model is used to analyze a possibility of a non-uniform charge distribution in a strongly correlated electron system with two types of charge carriers. It is demonstrated that in the limit of strong on-site Coulomb…

强关联电子 · 物理学 2009-11-13 A. O. Sboychakov , K. I. Kugel , A. L. Rakhmanov

Significant advances in numerical techniques have enabled recent breakthroughs in the study of various properties of the Hubbard model - a seemingly simple, yet complex model of correlated electrons that has been a focus of study for more…

强关联电子 · 物理学 2021-09-14 E. W. Huang , W. O. Wang , J. K. Ding , T. Liu , F. Liu , X. -X. Huang , B. Moritz , T. P. Devereaux

The effects of Hubbard-type on-site interactions on the BHZ model is studied in this paper for model parameters appropriate for the HgTe/CdTe quantum well. Within a simple mean field theory we search for plausible magnetic instabilities in…

强关联电子 · 物理学 2017-03-22 Zewei Chen , Tai Kai Ng