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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

Recent experiments have realized a twisted bilayer-like optical potential for ultra-cold atoms, which in contrast to solid-state set ups may allow for an arbitrary ratio between the inter- and intra-layer couplings. For commensurate Moir\'e…

Quantum Gases · Physics 2024-04-04 Ganesh C. Paul , Patrik Recher , Luis Santos

We show that ultradilute quantum liquids can be formed with ultracold bosonic dipolar atoms in a bilayer geometry. Contrary to previous realizations of ultradilute liquids, there is no need for stabilizing the system with an additional…

Quantum Gases · Physics 2022-02-14 G. Guijarro , G. E. Astrakharchik , J. Boronat

We consider the fate of the Wigner crystal state in a two dimensional system of massive Dirac electrons as the effective fine structure constant $\alpha$ is increased. In a Dirac system, larger $\alpha$ naively corresponds to stronger…

Strongly Correlated Electrons · Physics 2022-07-06 Sandeep Joy , Brian Skinner

Wigner crystallization of electrons in a 2D quantum dots is reported. It proceeds in two stages: I) via radial ordering of electrons on shells and II) freezing of the inter-shell rotation. The phase boundary of the crystal is computed in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Filinov , M. Bonitz , Yu. E. Lozovik

Electrons behave like a classical fluid with a momentum distribution function that varies slowly in space and time when the quantum mechanical carrier-carrier scattering dominates over all other scattering processes. Recent experiments in…

Mesoscale and Nanoscale Physics · Physics 2018-05-07 Derek Y. H. Ho , Indra Yudhistira , Nilotpal Chakraborty , Shaffique Adam

The conditions of stability of the superfluid phase in double layer systems with pairing of spatially separated electrons and holes in the low density limit are studied. The general expression for the collective excitation spectrum is…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 D. V. Fil , S. I. Shevchenko

We experimentally demonstrate, for the first time, formation of point-like topological defects in the edge state structure in the quantum Hall effect regime. By using of a selective population technique, we investigate equilibration…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. V. Deviatov , V. T. Dolgopolov , A. Wurtz , A. Lorke , A. Wixforth , W. Wegscheider , K. L. Campman , A. C. Gossard

We present a comprehensive discussion of the so-called asymmetric Wigner bilayer system, where mobile point charges, all of the same sign, are immersed into the space left between two parallel, homogeneously charged plates (with possibly…

Soft Condensed Matter · Physics 2019-01-30 Moritz Antlanger , Gerhard Kahl , Martial Mazars , Ladislav Samaj , Emmanuel Trizac

We study the quantum phase transition of interacting electrons in quantum wires from a one-dimensional (1D) linear configuration to a quasi-1D zigzag arrangement using quantum Monte Carlo methods. As the density increases from its lowest…

Mesoscale and Nanoscale Physics · Physics 2014-08-21 Abhijit C. Mehta , C. J. Umrigar , Julia S. Meyer , Harold U. Baranger

In this paper, we study the quantum properties of a bilayer graphene with (asymmetry) line defects. The localized states are found around the line defects. Thus, the line defects on one certain layer of the bilayer graphene can lead to an…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Xiao-Ming Zhao , Ya-Jie Wu , Chan Chen , Ying Liang , Su-Peng Kou

A mechanism for orientation of bilayer classical Wigner crystals in a piezoelectric medium is considered. For the GaAs system the piezoelectric correction to the electrostatic interaction between electrons is calculated. It is shown that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. V. Fil

The Fermi liquid-Wigner crystal transition in a two dimensional electronic system is revisited with a focus on the nature of the fixed node approximation done in quantum Monte Carlo calculations. Recently, we proposed (Phys. Rev. Lett. 94,…

Strongly Correlated Electrons · Physics 2009-11-11 X. Waintal

Competition between liquid and solid states in two-dimensional electron system is an intriguing problem in condensed matter physics. We have investigated competing Wigner crystal and fractional quantum Hall ( FQH ) liquid phases in…

Mesoscale and Nanoscale Physics · Physics 2018-08-27 Manohar Kumar , Antti Laitinen , Pertti J. Hakonen

The Wigner crystal, an ordered array of electrons, is one of the very first proposed many-body phases stabilized by the electron-electron interaction. This electron solid phase has been reported in ultra-clean two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Lili Zhao , Wenlu Lin , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren N. Pfeiffer , Yang Liu

I review some of the properties of a Wigner crystal of electrons in two dimensional systems. The effect of disorder on such quantum crystals is discussed. The question of compressibility of such systems as obtained from capacitance…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Giamarchi

One-dimensional electron systems interacting with long-range Coulomb forces (quantum wires) show a Wigner crystal structure. We investigate in this paper the transport properties of such a Wigner crystal in the presence of impurities.…

Condensed Matter · Physics 2009-10-22 H. Maurey , T. Giamarchi

The quantum crystal of electrons, predicted more than eighty years ago by Eugene Wigner, is still one of the most elusive states of matter. Here, we present experiments that observe the one-dimensional Wigner crystal directly, by imaging…

Mesoscale and Nanoscale Physics · Physics 2019-06-18 Ilanit Shapir , Assaf Hamo , Sharon Pecker , Catalin Pascu Moca , Örs Legeza , Gergely Zarand , Shahal Ilani

Upon increasing the electron density in a quantum wire, the one-dimensional electron system undergoes a transition to a quasi-one-dimensional state. In the absence of interactions between electrons, this corresponds to filling up the second…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Julia S. Meyer , K. A. Matveev , A. I. Larkin

We consider a three dimensional Wigner crystal of electrons lying in a host ionic dielectric. Owing to their interaction with the lattice polarization, each localized electron forms a polaron. We study the collective excitations of such a…

Strongly Correlated Electrons · Physics 2009-11-07 S. Fratini , P. Quemerais