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Strong correlation effects in classical and quantum plasmas are discussed. In particular, Coulomb (Wigner) crystallization phenomena are reviewed focusing on one-component non-neutral plasmas in traps and on macroscopic two-component…

We study the fractional quantum Hall effect in the central Landau level of bilayer graphene. By tuning the external applied magnetic field and the electric bias between the two layers one can access a regime where there is a degeneracy…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 Ngoc Duc Le , Thierry Jolicoeur

We use interlayer tunneling to study bilayer 2D electron systems at $\nu_T = 1$ over a wide range of charge density imbalance, $\Delta \nu =\nu_1-\nu_2$, between the two layers. We find that the strongly enhanced tunneling associated with…

Mesoscale and Nanoscale Physics · Physics 2008-11-19 A. R. Champagne , A. D. K. Finck , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

Mean-field theory predicts that bilayer quantum Hall systems at odd integer total filling factors can have stripe ground states in which the top Landau level is occupied alternately by electrons in one of the two layers. We report on an…

Strongly Correlated Electrons · Physics 2009-11-07 Emiliano Papa , John Schliemann , Allan H. MacDonald , Matthew P. A. Fisher

In a previous paper, we have developed a general theory of thermodynamic limits. We apply it here to three different Coulomb quantum systems, for which we prove the convergence of the free energy per unit volume. The first system is the…

Mathematical Physics · Physics 2008-12-21 Christian Hainzl , Mathieu Lewin , Jan Philip Solovej

When the kinetic energy of a collection of interacting two-dimensional (2D) electrons is quenched at very high magnetic fields so that the Coulomb repulsion dominates, the electrons are expected to condense into an ordered array, forming a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yang Liu , H. Deng , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

In this report, we study ultra-high-mobility two-dimensional (2D) electron/hole systems with high precision capacitance measurement. We find that the capacitance charge appears only at the fringe of the gate at high magnetic field when the…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Lili Zhao , Wenlu Lin , Y. J. Chung , K. W. Baldwin , L. N. Pfeiffer , Yang Liu

The analysis of Coulomb crystallization is extended from one-component to two-component plasmas. Critical parameters for the existence of Coulomb crystals are derived for both classical and quantum crystals. In the latter case, a critical…

Strongly Correlated Electrons · Physics 2007-05-23 M. Bonitz , V. S. Filinov , V. E. Fortov , P. R. Levashov , H. Fehske

We show that rotational angles of electrons moving in two dimensions (2D) in a perpendicular magnetic field can be synchronized by an external microwave field which frequency is close to the Larmor frequency. The synchronization eliminates…

Mesoscale and Nanoscale Physics · Physics 2007-12-17 A. D. Chepelianskii , A. S. Pikovsky , D. L. Shepelyansky

We study the zero-temperature phase diagram of the half-filled one-dimensional ionic Hubbard model. This model is governed by the interplay of the on-site Coulomb repulsion and an alternating one-particle potential. Various many-body energy…

Strongly Correlated Electrons · Physics 2009-11-10 S. R. Manmana , V. Meden , R. M. Noack , K. Schoenhammer

In a certain regime of low carrier densities and strong correlations, electrons can crystallize into a periodic arrangement of charge known as Wigner crystal. Such phases are particularly interesting in one dimension (1D) as they display a…

Strongly Correlated Electrons · Physics 2021-11-01 Anuva Aishwarya , Sean Howard , Bikash Padhi , Lihai Wang , Sang-Wook Cheong , Philip W. Phillips , Vidya Madhavan

In Bernal bilayer graphene (BBG), a perpendicular displacement field flattens the bottom of the conduction band and thereby facilitates the formation of strongly-correlated electron states at low electron density. Here, we focus on the…

Strongly Correlated Electrons · Physics 2023-10-13 Sandeep Joy , Brian Skinner

The ground state properties of a single-component one-dimensional Coulomb gas are investigated. We use Bose-Fermi mapping for the ground state wave function which permits to solve the Fermi sign problem in the following respects (i) the…

Quantum Gases · Physics 2014-03-31 G. E. Astrakharchik , M. D. Girardeau

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

It is well known that charged particles stored in a Paul trap, one of the most versatile tools in atomic and molecular physics, may undergo a phase transition from a disordered cloud state to a geometrically well-ordered crystalline state…

Computational Physics · Physics 2016-05-04 D. K. Weiss , Y. S. Nam , R. Blümel

Charge ordering is often found in the phase diagram of unconventional superconductors in close proximity to the superconducting state. This has led to the suggestion that fluctuations of charge order can mediate superconducting pairing.…

Strongly Correlated Electrons · Physics 2025-04-04 R. Torsten Clay , Beau A. Thompson

We investigate the dependence of the structural phase transitions in an infinite quasi-one-dimensional system of repulsively interacting particles on the profile of the confining channel. Three different functional expressions for the…

Mesoscale and Nanoscale Physics · Physics 2014-09-19 J. E. Galván-Moya , V. R. Misko , F. M. Peeters

We investigate the ground states of classical Heisenberg spin systems which have point group symmetry. Examples are the regular polygons (spin rings) and the seven quasi-regular polyhedra including the five Platonic solids. For these…

Condensed Matter · Physics 2007-05-23 Heinz-Juergen Schmidt , Marshall Luban

The phase diagram of crystalline bilayers of particles interacting via a Yukawa potential is calculated for arbitrary screening lengths and particle densities. Staggered rectangular, square, rhombic and triangular structures are found to be…

Soft Condensed Matter · Physics 2007-05-23 Rene Messina , Hartmut Loewen

The ground-state behavior of the symmetric electron-electron and electron-hole bilayers is studied by including dynamic correlation effects within the quantum version of Singwi, Tosi, Land, and Sjolander (qSTLS) theory. The static…

Strongly Correlated Electrons · Physics 2009-11-07 R. K. Moudgil , L. K. Saini , Gaetano Senatore
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