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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

Short length quantum wires (quantum contacts) exhibit a conductance structure at the value of conductance close to 0.7 \times 2e^2/h. The structure is also called the conductance anomaly. In longer contacts the structure evolves to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. P. Sushkov

One of the most fascinating ground states of an interacting electron system is the so-called Wigner crystal where the electrons, in order to minimize their repulsive Coulomb energy, form an ordered array. Here we report measurements of the…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 H. Deng , L. W. Engel , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

Strongly interacting electrons in two-dimensional systems can spontaneously break translational symmetry, forming a periodic Wigner crystal. Although these crystals have been realized in several platforms, experimental studies of their…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 L. Wang , F. Menzel , F. Pichler , P. Knüppel , K. Watanabe , T. Taniguchi , M. Knap , T. Smoleński

Wigner crystallization of free electrons at room temperature is explored for a new class of metallic ultrathin (transdimensional) materials whose properties can be controlled by their thickness. Our calculations of the critical electron…

Strongly Correlated Electrons · Physics 2026-04-17 Igor V. Bondarev , Alexandra Boltasseva , Jacob B. Khurgin , Vladimir M. Shalaev

The Peierls instability in multi-channel metal nanowires is investigated. Hyperscaling relations are established for the finite-size-, temperature-, and wavevector-scaling of the electronic free energy. It is shown that the softening of…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 D. F. Urban , C. A. Stafford , Hermann Grabert

The low-energy electronic properties of one-dimensional nanowires formed by Pt atoms on Ge(001) are studied with scanning tunneling microscopy down to the millivolt-regime. The chain structure exhibits various dimerized elements at high…

Strongly Correlated Electrons · Physics 2009-11-11 J. Schaefer , D. Schrupp , M. Preisinger , R. Claessen

Immediately after the demonstration of the high-quality electronic properties in various two dimensional (2D) van der Waals (vdW) crystals fabricated with mechanical exfoliation, many methods have been reported to explore and control large…

It is known that a gas of electrons in a uniform neutralizing background can crystallize and form a lattice if the electron density is less than a critical value. This crystallization may have two- or three-dimensional structure. Since the…

Plasma Physics · Physics 2014-04-18 Johannes Thomas , Marc M. Günther , Alexander Pukhov

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

We examine the dynamics of driven classical Wigner solids interacting with quenched disorder from charged impurities. For strong disorder, the initial motion is plastic -- in the form of crossing winding channels. For increasing drive, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. Reichhardt , C. J. Olson , Franco Nori

It was predicted by Wigner in 1934 that the electron gas will undergo a transition to a crystallized state when its density is very low. Whereas significant progress has been made towards the detection of electronic Wigner states, their…

Mesoscale and Nanoscale Physics · Physics 2011-02-01 L. H. Kristinsdóttir , J. C. Cremon , H. A. Nilsson , H. Q. Xu , L. Samuelson , H. Linke , A. Wacker , S. M. Reimann

We use Density Functional Theory to study interacting spinless electrons on a one-dimensional quantum ring in the density range where the system undergoes Wigner crystallization. The Wigner transition leads to a drastic ``collective''…

Mesoscale and Nanoscale Physics · Physics 2007-11-20 Marc Siegmund , Markus Hofmann , Oleg Pankratov

We highlight the emergence of metallic states in two-dimensional transition-metal-dichalcogenide nanostructures -nanoribbons, islands, and inversion domain boundaries- as a widespread and universal phenomenon driven by the polar…

Materials Science · Physics 2015-09-28 Marco Gibertini , Nicola Marzari

The interplay between Coulomb interactions and kinetic energy underlies many exotic phases in condensed matter physics. In a two-dimensional electronic system, If Coulomb interaction dominates over kinetic energy, electrons condense into a…

Mesoscale and Nanoscale Physics · Physics 2025-10-03 Chenggang Yang , Jun Lu , Hongzhang Wang , Jian Zeng , Wendong Bian , Zhengshan Guo , Jiankun Li , Yulei Zhang , Junwei Luo , Tian Pei

A candidate for the insulating phase of the 2D electron gas, seen in high mobility 2D MOSFETS and heterojunctions, is a Wigner crystal pinned by the incipient disorder. With this in view, we study the effect of collective pinning on the…

Strongly Correlated Electrons · Physics 2009-11-10 R. Chitra , T. Giamarchi

In a density-imbalanced bilayer Wigner crystal, where the ratio of electron densities in separate layers deviates slightly from unity, defects spontaneously form in one or both layers in the ground state of the system. Due to quantum…

Strongly Correlated Electrons · Physics 2025-05-19 Zekun Zhuang , Ilya Esterlis

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

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

Conductive ferroelectric domain walls (DWs) represent a promising topical system for the development of nanoelectronic components and device sensors to be operational at elevated temperatures. DWs show very different properties as compared…