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We study the quantum dynamics of a charged particle in a two-dimensional lattice, subject to constant and homogeneous electric and magnetic fields. We find that different regimes characterize these motions, depending on a combination of…

Quantum Physics · Physics 2013-05-30 A. R. Kolovsky , I. Chesnokov , G. Mantica

Quantum criticality is the intriguing possibility offered by the laws of quantum mechanics when the wave function of a many-particle physical system is forced to evolve continuously between two distinct, competing ground states. This…

Mesoscale and Nanoscale Physics · Physics 2008-09-18 Nicolas Roch , Serge Florens , Vincent Bouchiat , Wolfgang Wernsdorfer , Franck Balestro

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

Strongly interacting electrons in layered materials give rise to a plethora of emergent phenomena, such as unconventional superconductivity. heavy fermions, and spin textures with non-trivial topology. Similar effects can also be observed…

Mesoscale and Nanoscale Physics · Physics 2022-08-23 Soroush Arabi , Taner Esat , Aizhan Sabitova , Yuqi Wang , Hovan Lee , Cedric Weber , Klaus Kern , F. Stefan Tautz , Ruslan Temirov , Markus Ternes

Modeling the electronic and optical properties of organic semiconductors remains a challenge for theory, despite the remarkable progress achieved in the last three decades. The complexity of these systems, including structural (dis)order…

Materials Science · Physics 2023-02-15 Caterina Cocchi , Michele Guerrini , Jannis Krumland , Ngoc Trung Nguyen , Ana M. Valencia

We present a brief survey of the charge density wave phases of a two-dimensional electron liquid in moderate to weak magnetic fields where several higher Landau levels are occupied. The review follows the chronological development of this…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael M. Fogler

Quantum fluctuations and related phase transitions are of current interest from the viewpoint of fundamental physics and technological applications. Quantum phase implies a region where the quantum fluctuations of energy scale $\hbar\omega$…

Strongly Correlated Electrons · Physics 2021-08-06 Karan Singh , K. Mukherjee , A. M. Jayannavar

We study double quantum dots coupled to a quasistatic cavity mode with high mode-volume compression allowing for strong light-matter coupling. Besides the cavity-mediated interaction, electrons in different double quantum dots interact with…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 Valerii K. Kozin , Dmitry Miserev , Daniel Loss , Jelena Klinovaja

The interplay of geometric randomness and strong quantum fluctuations is an exciting topic in quantum many-body physics, leading to the emergence of novel quantum phases in strongly correlated electron systems. Recent investigations have…

Strongly Correlated Electrons · Physics 2010-03-23 Rong Yu , Tommaso Roscilde , Stephan Haas

The interplay of confinement and Coulomb interactions in quantum dots can lead to strongly correlated phases differing qualitatively from the Fermi liquid behavior. We explore how the presence of magnetic impurities in quantum dots can…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 R. Oszwałdowski , P. Stano , A. G. Petukhov , Igor Žutić

Topological quantum materials hold great promise for future technological applications. Their unique electronic properties, such as protected surface states and exotic quasiparticles, offer opportunities for designing novel electronic…

Strongly Correlated Electrons · Physics 2024-05-28 Christian Stefan Gruber , Mahmoud Abdel-Hafiez

We study the crossover between liquid and solid electron phases in a two-dimensional harmonic trap as the density is progressively diluted. We infer the formation of geometrically ordered phases from charge distributions and pair…

Strongly Correlated Electrons · Physics 2007-05-23 Massimo Rontani , Carlo Cavazzoni , Guido Goldoni

The structure of solids and their phases is mainly determined by static Coulomb forces while the coupling of charges to the dynamical, i.e., quantized degrees of freedom of the electromagnetic field plays only a secondary role. Recently, it…

Quantum Physics · Physics 2021-03-16 Michael Schuler , Daniele De Bernardis , Andreas M. Läuchli , Peter Rabl

Strongly-coupled quantum dot molecules (QDMs) are widely deployed in the design of a variety of optoelectronic, photovoltaic, and quantum information devices. An efficient and optimized performance of these devices demands engineering of…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Muhammad Usman

We investigate two equivalent, capacitively coupled semiconducting quantum dots, each coupled to its own lead, in a regime where there are two electrons on the double dot. With increasing interdot coupling a rich range of behavior is…

Strongly Correlated Electrons · Physics 2007-05-23 Martin R. Galpin , David E. Logan , H. R. Krishnamurthy

Two-dimensional electron gases in strong magnetic fields provide a canonical platform for realizing a variety of electronic ordering phenomena. Here we review the physics of one intriguing class of interaction-driven quantum Hall states:…

Strongly Correlated Electrons · Physics 2021-05-25 S. A. Parameswaran , B. E. Feldman

In this report we summarize a recent progress in exploration of correlated two-dimensional electron states in partially filled high Landau levels. At a mean-field Hartree-Fock level they can be described as charge-density waves, either…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michael M. Fogler

Contemporary quantum materials research is guided by themes of topology and of electronic correlations. A confluence of these two themes is engineered in "moir\'e materials", an emerging class of highly tunable, strongly correlated…

Mesoscale and Nanoscale Physics · Physics 2024-08-15 Kevin P. Nuckolls , Ali Yazdani

The model of two electrons with Coulomb interaction on a two-dimensional (2D) disordered lattice is considered. It is shown that the interaction can give a sharp transition to delocalized states in a way similar to the Anderson transition…

Condensed Matter · Physics 2007-05-23 D. L. Shepelyansky

Ignited by the discovery of the metal-insulator transition, the behaviour of low-disorder two-dimensional (2D) electron systems is currently the focus of a great deal of attention. In the strongly-interacting limit, electrons are expected…

Strongly Correlated Electrons · Physics 2018-09-19 Pedro Brussarski , S. Li , S. V. Kravchenko , A. A. Shashkin , M. P. Sarachik