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The Hofstadter-Hubbard model captures the physics of strongly correlated electrons in an applied magnetic field, which is relevant to many recent experiments on Moir\'e materials. Few large-scale, numerically exact simulations exists for…

Strongly Correlated Electrons · Physics 2022-08-16 Jixun K. Ding , Wen O. Wang , Brian Moritz , Yoni Schattner , Edwin W. Huang , Thomas P. Devereaux

We investigate the statistical mechanics of an inhomogeneous Coulomb fluid composed of charged particles with static polarizability. We derive the weak- and the strong-coupling approximations and evaluate the partition function in a planar…

Soft Condensed Matter · Physics 2013-04-22 Vincent Démery , David S. Dean , Rudolf Podgornik

Experiments on quasi-one-dimensional systems such as quantum wires and metallic chains on surfaces suggest the existence of electron-electron interactions of substantial range and hence physics beyond the Hubbard model. We therefore…

Strongly Correlated Electrons · Physics 2012-05-31 Martin Hohenadler , Stefan Wessel , Maria Daghofer , Fakher F. Assaad

Magic-angle twisted bilayer graphene exhibits a panoply of many-body phenomena that are intimately tied to the appearance of narrow and well-isolated electronic bands. The microscopic ingredients that are responsible for the complex…

Strongly Correlated Electrons · Physics 2021-10-04 Cyprian Lewandowski , Stevan Nadj-Perge , Debanjan Chowdhury

A wide variety of experimental platforms, ranging from semiconductor quantum-dot arrays to moir\'e materials, have recently emerged as powerful quantum simulators for studying the Hubbard model and its variants. Motivated by these…

Strongly Correlated Electrons · Physics 2024-10-03 Johannes Dieplinger , Rhine Samajdar , R. N. Bhatt

Recently fabricated InSe monolayers exhibit remarkable characteristics that indicate the potential of this material to host a number of many-body phenomena. Here, we consistently describe collective electronic effects in hole-doped InSe…

Materials Science · Physics 2023-01-10 E. A. Stepanov , V. Harkov , M. Rösner , A. I. Lichtenstein , M. I. Katsnelson , A. N. Rudenko

We propose a nonlocal theory of single-particle excitations. It is based on an off-diagonal effective medium and the projection operator method for treating the retarded Green function. The theory determines the nonlocal effective medium…

Strongly Correlated Electrons · Physics 2015-05-14 Y. Kakehashi , T. Nakamura , P. Fulde

We consider a system of two-dimensional electrons strongly localized by disorder. Interactions create a gap in the average tunneling density of states $\nu(E)$ at energies, E, close to the Fermi level. We derive a system of self-consistent…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ya. M. Blanter , M. E. Raikh

We give an update of the situation concerning the effect of electron-electron interactions on the physics of a neutral graphene system at low energies. We revise old renormalization group results and the use of 1/N expansion to address…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Maria A. H. Vozmediano , Francisco Guinea

When the excitation of carriers in real space is focused down to the nanometer scale, the carrier system can no longer be viewed as homogeneous and ultrafast transport of the excited carrier wave packets occurs. In state-of-the-art…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 F. Lengers , R. Rosati , T. Kuhn , D. E. Reiter

One-dimensional Coulomb drag has been an essential tool to probe the physics of interacting Tomonaga-Luttinger liquids. To date, most experimental work has focused on the linear regime while the predictions for Luttinger liquids beyond the…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Mingyang Zheng , Rebika Makaju , Rasul Gazizulin , Alex Levchenko , Sadhvikas J. Addamane , Dominique Laroche

A Wigner crystal structure of the electronic ground state is induced by strong Coulomb interactions at low temperature in clean or disordered two-dimensional (2d) samples. For fermions on a mesoscopic disordered 2d lattice, being closed to…

Disordered Systems and Neural Networks · Physics 2009-10-31 Franck Selva , Dietmar Weinmann

The transport of fluids at the nanoscale is fundamental to manifold biological and industrial processes, ranging from neurotransmission to ultrafiltration. Yet, it is only recently that well-controlled channels with cross-sections as small…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Nikita Kavokine , Paul Robin , Lydéric Bocquet

We study the structure of bound states appearing in systems governed by the Coulomb and short-range interactions. We analyze the binding energies and wave functions of the bound states generated by the Coulomb plus short-range potential. We…

High Energy Physics - Phenomenology · Physics 2026-01-21 Chisato Uno , Tetsuo Hyodo

Precise control over interactions between ballistic electrons will enable us to exploit Coulomb interactions in novel ways, to develop high-speed sensing, to reach a non-linear regime in electron quantum optics and to realise schemes for…

Mesoscale and Nanoscale Physics · Physics 2022-10-10 J. D. Fletcher , W. Park , S. Ryu , P. See , J. P. Griffiths , G. A. C. Jones , I. Farrer , D. A. Ritchie , H. -S. Sim , M. Kataoka

We study the effects of the Coulomb interaction in the one dimensional Kondo lattice model on the phase diagram, the static magnetic susceptibility and electron spin relaxation. We show that onsite Coulomb interaction supports ferromagnetic…

Strongly Correlated Electrons · Physics 2015-05-20 Sebastian Smerat , Herbert Schoeller , Ian P. McCulloch , Ulrich Schollwöck

The understanding of the mechanisms responsible for superconductivity in strongly correlated systems is an interesting and important subject in condensed matter physics. Several theoretical proposals were considered for these systems. The…

We evaluate the cohesive energies E$_b$ of four systems in which particles move on a cylindrical surface, at fixed distance R from the axis. We find quite nonuniversal dependences of E$_b$ on R. For the Coulomb binding problem, E$_b$ is a…

Condensed Matter · Physics 2007-05-23 M. K. Kostov , M. W. Cole , G. D. Mahan , C. Carraro , M. L. Glasser

We propose a device for studying the Fermi-Hubbard model with long-range Coulomb interactions using an array of quantum dots defined in a semiconductor two-dimensional electron gas system. Bands with energies above the lowest energy band…

Quantum Physics · Physics 2009-11-13 Tim Byrnes , Na Young Kim , Kenichiro Kusudo , Yoshihisa Yamamoto

The influence of a nearest-neighbor Coulomb repulsion of strength V on the properties of the Ferromagnetic Kondo model is analyzed using computational techniques. The Hamiltonian studied here is defined on a chain using localized S=1/2…

Strongly Correlated Electrons · Physics 2009-10-31 A. L. Malvezzi , S. Yunoki , E. Dagotto
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