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Related papers: Two-Dimensional Wigner Crystal in Anisotropic Semi…

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Wigner crystal, as the most fundamental exemplification where the many-body interaction forges the electrons into a solid, experiences an intriguing quantum melting where diverse intermediate phases are predicted to emerge near the quantum…

Strongly Correlated Electrons · Physics 2022-09-07 Zhongjie Wang , Meng Zhao , Lu Liu , Chunzheng Wang , Fang Yang , Hua Wu , Chunlei Gao

We demonstrate that the static structure factor, momentum distribution and density distribution provide clear signatures of the emergence of Wigner crystal for the fermionic dipolar gas with strongly repulsive dipole-dipole interactions…

Quantum Gases · Physics 2012-03-06 Zhihao Xu , Shu Chen

Two-dimensional (2D) materials have attracted wide-spread interest due to their unique and tunable properties. Their optoelectronic, mechanical, and thermal properties are greatly influenced by crystal defects, which are, in turn, used to…

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 unsymmetric confinement of the electrons in a typical 2-dimensional electron gas (2DEG) breaks the full cubic symmetry of the in-plane transport properties. A rigorous invariance of the transport under rotation by pi/2 about the cubic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Herbert Kroemer

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

Two-dimensional crystals, single sheets of layered materials, often show distinct properties desired for optoelectronic applications, such as larger and direct band gaps, valley- and spinorbit effects. Being atomically thin, the low amount…

Materials Science · Physics 2018-11-14 Roman Kempt , Agnieszka Kuc , Jae Hyo Han , Jinwoo Cheon , Thomas Heine

Studies of different experimental groups that explore the properties of a two-dimensional electron gas in silicon semiconductor systems ((100) Si metal-oxide-semiconductor field-effect transistors (MOSFETs) and (100) SiGe/Si/SiGe quantum…

Strongly Correlated Electrons · Physics 2019-10-15 V. T. Dolgopolov

Critically analyzing recent STM and transport experiments [Z. Ge, et al, arXiv:2510.12009] on 2D electron systems in the presence of random quenched impurities, we argue that the resulting low-density putative "solid" phase reported…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Aryaman Babbar , Zi-Jian Li , Sankar Das Sarma

A novel method for the calculation of the energy dispersion relation (EDR) and density of states (DOS) in one (1D) and two (2D) dimensions is introduced and applied to linear lattices (1D) and square and hexagonal lattices (2D). The (van…

Other Condensed Matter · Physics 2015-07-20 F. Iachello , B. Dietz , M. Miski-Oglu , A. Richter

We develop a method to compute shakeup effects on photoluminescence from a strong magnetic field induced two-dimensional Wigner crystal. Only localized holes are considered. Our method treats the lattice electrons and the tunneling electron…

Condensed Matter · Physics 2009-10-28 D. Z. Liu , H. A. Fertig , S. Das Sarma

In modern two-dimensional (2D) materials, such as graphene-based systems and atomically-thin transition-metal dichalcogenides, the interplay of strong electronic correlations, tunable moir\'e superlattices, and nontrivial band topology has…

Strongly Correlated Electrons · Physics 2025-09-26 You Zhou , Ilya Esterlis , Tomasz Smoleński

The magnetic properties of LiFeAs, as single crystalline and polycrystalline samples, were investigated. The lower critical field deduced from the vortex penetration of two single crystals appears to be almost isotropic with a temperature…

Superconductivity · Physics 2011-05-06 K. Sasmal , B. Lv , Z. Tang , F. Y. Wei , Y. Y. Xue , A. M. Guloy , C. W. Chu

Liquid crystalline phases of matter permeate nature and technology, with examples ranging from cell membranes to liquid-crystal displays. Remarkably, electronic liquid crystal phases can exist in two-dimensional electron systems (2DES) at…

Mesoscale and Nanoscale Physics · Physics 2017-11-20 Q. Qian , J. Nakamura , S. Fallahi , G. C. Gardner , M. J. Manfra

We describe the dynamical preparation of anisotropic crystalline phases obtained by laser-exciting ultracold Alkali atoms to Rydberg p-states where they interact via anisotropic van der Waals interactions. We develop a time- dependent…

Using Path Integral Monte Carlo we have calculated exchange frequencies as electrons undergo ring exchanges in a ``clean'' 2d Wigner crystal as a function of density. The results show agreement with WKB calculations at very low density, but…

Strongly Correlated Electrons · Physics 2009-10-31 B. Bernu , Ladir Candido , D. M. Ceperley

We consider a two-dimensional electron or hole system at zero temperature and low carrier densities, where the long-range Coulomb interactions dominate over the kinetic energy. In this limit the clean system will form a Wigner crystal.…

Disordered Systems and Neural Networks · Physics 2009-11-07 Klaus Voelker , Sudip Chakravarty

The anisotropy of the electronic transition is an important physical property not only determining the materials' optical property, but also revealing the underlying character of the electronic states involved. Here we used…

Materials Science · Physics 2016-03-09 Jinhua Hong , Kun Li , Chuanhong Jin , Xixiang Zhang , Ze Zhang , Jun Yuan

The Wigner crystal on liquid He accompanies with periodic corrugation of the He surface; dimples. The dynamics of the crystal is coupled with the motion and the deformation of the dimples. Nonlinear phenomena found in AC Corbino…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoshiyuki Shibayama , Masaya Yamazaki , Hanako Isshiki , Keiya Shirahama

We perform Hartree-Fock calculations to show that quantum dots (i.e. two dimensional systems of up to twenty interacting electrons in an external parabolic potential) undergo a gradual transition to a spin-polarized Wigner crystal with…

Condensed Matter · Physics 2009-10-28 H. -M. Muller , S. E. Koonin