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Strongly interacting electronic systems possess rich phase diagrams resulting from the competition between different quantum ground states. A general mechanism that relieves this frustration is the emergence of microemulsion phases, where…

Using molecular dynamics simulations, we study a spherically-symmetric ``two-scale'' Jagla potential with both repulsive and attractive ramps. This potential displays a liquid-liquid phase transition with a positively sloped coexistence…

Soft Condensed Matter · Physics 2009-11-11 Limei Xu , Isaac Ehrenberg , Sergey V. Buldyrev , H. Eugene Stanley

We investigate the interplay of disorder and interaction in two-dimensional electron systems in a strong magnetic field, focusing on the transition between Wigner crystals and fractional quantum Hall liquids. We first study classical Wigner…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Ke Huang , Sankar Das Sarma , Xiao Li

We study ultracold Rydberg-dressed Bose gases subject to artificial gauge fields in the fractional quantum Hall (FQH) regime. The characteristics of the Rydberg interaction gives rise to interesting many-body ground states different from…

Quantum Gases · Physics 2013-04-30 Fabian Grusdt , Michael Fleischhauer

We report on the properties of a system of interacting electrons in a narrow channel in the quantum Hall effect regime. It is shown that an increase in the strength of the Coulomb interaction causes abrupt changes in the width of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty , K. Niemelä , P. Pietiläinen

We investigate the competition between electron-solid and quantum-liquid phases in graphene, which arise in partially filled Landau levels. The differences in the wave function describing the electrons in the presence of a perpendicular…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 M. E. Knoester , Z. Papic , C. Morais Smith

Here we report on a transparent method to characterize individual layers in a double-layer electron system which forms in a wide quantum well and to determine their electron densities. The technique relies on the simultaneous measurement of…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 S. I. Dorozhkin , A. A. Kapustin , I. B. Fedorov , V. Umansky , K. von Klitzing , J. H. Smet

We establish phase transitions for continuum Delaunay multi-type particle systems (continuum Potts or Widom-Rowlinson models) with a repulsive interaction between particles of different types. Our interaction potential depends solely on the…

Probability · Mathematics 2018-05-23 Stefan Adams , Michael Eyers

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

We study the localization properties in the transition from a two-dimensional electron gas at zero magnetic field into an integer quantum Hall (QH) liquid. By carrying out a direct calculation of the localization length for a finite size…

Condensed Matter · Physics 2009-10-28 D. Z. Liu , X. C. Xie , Q. Niu

We study a system of electrons on a one-dimensional lattice, interacting through the long range Coulomb forces, by means of a variational technique which is the strong coupling analog of the Gutzwiller approach. The problem is thus the…

Strongly Correlated Electrons · Physics 2007-05-23 S. Fratini , B. Valenzuela , D. Baeriswyl

We study fermions in two dimensions interacting via a long-ranged 1/r potential for small particle separations and a short-ranged 1/r^3 potential for larger separations in comparison to a length scale \xi. We compute the energy of the…

Strongly Correlated Electrons · Physics 2015-06-12 Benjamin M. Fregoso , C. A. R. Sá de Melo

We study the ground-state Wigner bilayers of pointlike particles with Yukawa pairwise interactions, confined to the surface of two parallel hard walls at dimensionless distance $\eta$. The model involves as limiting cases the unscreened…

Soft Condensed Matter · Physics 2015-08-26 Igor Travenec , Ladislav Samaj

Double barrier heterostructures are model systems for the study of electron tunneling and discrete energy levels in a quantum well (QW). Until now resonant tunneling phenomena in metallicQW have been observed for limited thicknesses (1-2…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 B. S. Tao , H. X. Yang , Y. L. Zuo , X. Devaux , G. Lengaigne , M. Hehn , D. Lacour , S. Andrieu , M. Chshiev , T. Hauet , F. Montaigne , S. Mangin , X. F. Han , Y. Lu

The competition between Coulomb repulsion and kinetic energy in correlated systems can allow electrons to crystallize into Wigner solids. Despite researches across diverse two-dimensional Wigner platforms, the microscopic melting processes…

Strongly Correlated Electrons · Physics 2026-01-06 Chaofei Liu , Jianwang Zhou , Wenao Liao , Zeyu Jiang , Chao Zhang , Tingfei Guo , Tianyou Zhai , Wenhao Zhang , Ying-Shuang Fu , Qi-Kun Xue

The Wigner localization is an electron phase at low densities when the electrons are sharply localized around equilibrium positions. The simulation of the Wigner localization phenomenon requires careful treatment of the many-body…

Computational Physics · Physics 2023-06-28 Xue Quan , Huajie Chen

We report an extensive Monte-Carlo study of the melting of the classical two dimensional Wigner crystal for a system of point particles interacting via the $1/r$-Coulomb potential. A hexatic phase is found in systems large enough. With the…

Soft Condensed Matter · Physics 2015-05-20 Martial Mazars

Tunneling of a particle through a potential barrier remains one of the most remarkable quantum phenomena. Owing to advances in laser technology, electric fields comparable to those electrons experience in atoms are readily generated and…

We investigate the ground state properties of a bosonic Harper-Hofstadter model with local interactions on a finite cylindrical lattice with filling fraction $\nu=1/2$. We find that our system supports topologically ordered states by…

Mesoscale and Nanoscale Physics · Physics 2019-03-12 Paolo Rosson , Michael Lubasch , Martin Kiffner , Dieter Jaksch

We provide solid evidence for the long-standing presumption that model Hamiltonians with short-range interactions faithfully reproduce the physics of the long-range Coulomb interaction in real materials. For this aim, we address a generic…

Strongly Correlated Electrons · Physics 2025-06-09 Florian Gebhard , Kevin Bauerbach , Örs Legeza