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The existence of Wigner crystallization, one of the most significant hallmarks of strong electron correlations, has to date only been definitively observed in two-dimensional systems. In one-dimensional (1D) quantum wires Wigner crystals…

A system of confined charged electrons interacting via the long-range Coulomb force can form a Wigner crystal due to their mutual repulsion. This happens when the potential energy of the system dominates over its kinetic energy, i.e., at…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 DinhDuy Vu , Sankar Das Sarma

The crystallization of charge carriers, dubbed the Wigner crystal, is anticipated at low densities in clean two-dimensional electronic systems (2DES). While there has been extensive investigation across diverse platforms, probing…

Strongly Correlated Electrons · Physics 2025-06-26 Mingjie Zhang , Zhenyu Wang , Yifan Jiang , Yaotian Liu , Kenji Watanabe , Takashi Taniguchi , Song Liu , Shiming Lei , Yongqing Li , Yang Xu

A Wigner crystal, a regular electron lattice arising from strong correlation effects, is one of the earliest predicted collective electronic states. This many-body state exhibits quantum and classical phase transitions and has been proposed…

Wigner crystals are predicted as the crystallization of the dilute electron gas moving in a uniform background when the electron-electron Coulomb energy dominates the kinetic energy. The Wigner crystal has previously been observed in the…

In clean two-dimensional (2D) systems, electrons are expected to self-organize into a regular lattice, a Wigner crystal, when their mutual Coulomb repulsion overwhelms kinetic energy. Understanding the Wigner crystal at zero magnetic field…

When the Coulomb repulsion between electrons dominates over their kinetic energy, electrons in two dimensional systems were predicted to spontaneously break continuous translation symmetry and form a quantum crystal. Efforts to observe this…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 T. Smoleński , P. E. Dolgirev , C. Kuhlenkamp , A. Popert , Y. Shimazaki , P. Back , M. Kroner , K. Watanabe , T. Taniguchi , I. Esterlis , E. Demler , A. Imamoğlu

Combination of low-dimensionality and electron correlation is vital for exotic quantum phenomena such as the Mott-insulating phase and high-temperature superconductivity. Transition-metal dichalcogenide (TMD) 1T-TaS2 has evoked great…

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 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

Recent experiments on the twisted transition metal dichalcogenide (TMD) material, $\rm WSe_2/WS_2$, have observed insulating states at fractional occupancy of the moir\'e bands. Such states were conceived as generalized Wigner crystals…

Strongly Correlated Electrons · Physics 2021-03-31 Bikash Padhi , R. Chitra , Philip W. Phillips

Wigner-Mott insulating states represent a paradigmatic manifestation of strong electronic correlations, in which long-range Coulomb interactions drive spontaneous charge ordering and enable Mott localization at fractional electronic…

Strongly Correlated Electrons · Physics 2026-02-06 Hongqin Xiao , Geng Li , Yuxuan He , Ke Zhu , Yuhan Ye , Yumeng Li , Lijing Huang , Pucen Xiong , Haitao Yang , Ziqiang Wang , Hong-Jun Gao

The physics of interacting quantum wires has attracted a lot of attention recently. When the density of electrons in the wire is very low, the strong repulsion between electrons leads to the formation of a Wigner crystal. We review the rich…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Julia S. Meyer , K. A. Matveev

1T-TaS$_2$ undergoes successive phase transitions upon cooling and eventually enters an insulating state of mysterious origin. Some consider this state to be a band insulator with interlayer stacking order, yet others attribute it to Mott…

Strongly Correlated Electrons · Physics 2020-08-26 Y. D. Wang , W. L. Yao , Z. M. Xin , T. T. Han , Z. G. Wang , L. Chen , C. Cai , Yuan Li , Y. Zhang

We study the ground state of a system of spinless electrons interacting through a screened Coulomb potential in a lattice ring. By using analytical arguments, we show that, when the effective interaction compares with the kinetic energy,…

Statistical Mechanics · Physics 2021-07-29 Massimo Ostilli , Carlo Presilla

We report evidence that the metallic phase in high Tc cuprate superconductors results from an instability of the quasi 2D-electron gas at densities lower or larger than the critical density for the formation of a Wigner polaronic crystal.…

Superconductivity · Physics 2009-06-30 Antonio Bianconi , Mauro Missori

Strong Coulomb interactions can drive electrons to crystallize into a Wigner lattice. Achieving the bosonic analogue - a crystal of excitons - has remained elusive due to their short lifetimes and weaker interactions. Here, we report the…

When a strong magnetic field is applied perpendicularly (along z) to a sheet confining electrons to two dimensions (x-y), highly correlated states emerge as a result of the interplay between electron-electron interactions, confinement and…

Mesoscale and Nanoscale Physics · Physics 2009-04-27 B. A. Piot , Z. Jiang , C. R. Dean , L. W. Engel , G. Gervais , L. N. Pfeiffer , K. W. West

Electron-electron interactions strongly affect the behavior of low-dimensional systems. In one dimension (1D), arbitrarily weak interactions qualitatively alter the ground state producing a Luttinger liquid (LL) which has now been observed…

Strongly Correlated Electrons · Physics 2007-10-04 Vikram V. Deshpande , Marc Bockrath

One of the most fundamental and yet elusive collective phases of an interacting electron system is the quantum Wigner crystal (WC), an ordered array of electrons expected to form when the electrons' Coulomb repulsion energy eclipses their…

Mesoscale and Nanoscale Physics · Physics 2019-03-26 H. Deng , L. N. Pfeiffer , K. W. West , K. W. Baldwin , L. W. Engel , M. Shayegan
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