Thermal and Quantum Melting Phase Diagrams for a Magnetic-Field-Induced Wigner Solid

Meng, Kyle C.; Rosales, K. A. Villegas; Deng, Hao; Chung, Yoon Jang; Pfeiffer, L. N.; West, K. W.; Baldwin, K. W.; Winkler, Roland; Shayegan, M.

doi:10.1103/physrevlett.125.036601

Cited by 38 publications

(24 citation statements)

References 55 publications

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“…The Wigner lattice instability point was shown to be located very close to the point of the Kosterlitz-Thouless topological transition in 2D systems [37], in agreement both with earlier numerical studies [30] and with most current thermodynamical interpretation of the Linde-mann's law [32]. The microscopic anharmonic theory of melting is confirmed by molecular dynamics simulations [38] and is consistent with experimental studies [39][40][41][42][43][44][45]. Recent experimental measurements of the magnetic-field-induced Wigner crystallization in semiconductor 2D electron systems can be found in Refs.…”

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confidence: 86%

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Magnetic-Field-Induced Wigner Crystallization of Charged Interlayer Excitons in van der Waals Heterostructures

Bondarev¹,

Lozovik²

2021

Preprint

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We develop the theory of the magnetic-field-induced Wigner crystallization effect for charged interlayer excitons (CIE) discovered recently in highly excited transition-metal-dichalcogenide (TMD) heterobilayers [26]. We derive the ratio of the average potential interaction energy to the average kinetic energy for the many-particle CIE system subjected to the perpendicular magnetic field of an arbitrary strength, analyze the weak and strong field regimes, and discuss the 'cold' crystallization phase transition for the CIE system in the strong field regime. We also generalize the effective g-factor concept previously formulated for interlayer excitons [53], to include the formation of CIEs in electrostatically doped TMD heterobilayers. We show that magnetic-field-induced Wigner crystallization and melting of CIEs can be observed in strong-field magneto-photoluminescence experiments with TMD heterobilayes of systematically varied electron-hole doping concentrations.Our results advance the capabilities of this new family of transdimensional quantum materials.

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confidence: 86%

“…Recent experimental measurements of the magnetic-field-induced Wigner crystallization in semiconductor 2D electron systems can be found in Refs. [44,45].…”

mentioning

confidence: 99%

Magnetic-Field-Induced Wigner Crystallization of Charged Interlayer Excitons in van der Waals Heterostructures

Bondarev¹,

Lozovik²

2021

Preprint

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“…A key question is the role of residual CF interactions in giving rise to exotic states 6 . A Wigner solid is found for small ν , which also exhibits re-entrance with a maximum melting temperature of 50 mK above the ν = 1/3 FQHE state 7 . Interactions are also believed to play a role at other fractional fillings such as ν = 4/11, which has a measured activation energy of 5 mK 8 .…”

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confidence: 86%

Cooling low-dimensional electron systems into the microkelvin regime

et al. 2022

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Two-dimensional electron gases (2DEGs) with high mobility, engineered in semiconductor heterostructures host a variety of ordered phases arising from strong correlations, which emerge at sufficiently low temperatures. The 2DEG can be further controlled by surface gates to create quasi-one dimensional systems, with potential spintronic applications. Here we address the long-standing challenge of cooling such electrons to below 1 mK, potentially important for identification of topological phases and spin correlated states. The 2DEG device was immersed in liquid 3He, cooled by the nuclear adiabatic demagnetization of copper. The temperature of the 2D electrons was inferred from the electronic noise in a gold wire, connected to the 2DEG by a metallic ohmic contact. With effective screening and filtering, we demonstrate a temperature of 0.9 ± 0.1 mK, with scope for significant further improvement. This platform is a key technological step, paving the way to observing new quantum phenomena, and developing new generations of nanoelectronic devices exploiting correlated electron states.

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“…As the temperature increases, one needs to confront the problem of crystal melting. Although an accurate estimation of this melting temperature can be a subtle issue [48][49][50], for simplicity, we estimate it using the classical Lindemann criterion, k B T L 0.01U . Our discussions in this paper will be confined to the physics of a GWC at T T L .…”

Section: Tmd Candidacy For Wigner Crystallizationmentioning

confidence: 99%

Generalized Wigner crystallization in moiré materials

Padhi,

Chitra,

Phillips

2020

Preprint

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Recent experiments on the twisted transition metal dichalcogenide (TMD) material, WSe2/WS2, have observed insulating states at fractional occupancy of the moiré bands. Such states were conceived as generalized Wigner crystals (GWCs). In this article, we investigate the problem of Wigner crystallization in the presence of an underlying (moiré) lattice. Based on the best estimates of the system parameters, we find a variety of homobilayer and heterobilayer TMDs to be excellent candidates for realizing GWCs. In particular, our analysis based on rs indicates that MoSe2 (among the homobilayers) and MoSe2/WSe2 or MoS2/WS2 (among the heterobilayers) are the best candidates for realizing GWCs. We also establish that due to larger effective mass of the valence bands, in general, hole-crystals are easier to realize that electron-crystals as seen experimentally. For completeness, we show that satisfying the Mott criterion n 1/2 Mott a * = 1 requires densities nearly three orders of magnitude larger than the maximal density for GWC formation. This indicates that for the typical density of operation, HoM or HeM systems are far from the Mott insulating regime. These crystals realized on a moiré lattice, unlike the conventional Wigner crystals, are incompressible due the gap arising from pinning with the lattice. Finally, we capture this many-body gap by variationally renormalizing the dispersion of the vibration modes. We show these low-energy modes, arising from coupling of the WC with the moiré lattice, can be effectively modeled as a Sine-Gordon theory of fluctuations.

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Thermal and Quantum Melting Phase Diagrams for a Magnetic-Field-Induced Wigner Solid

Cited by 38 publications

References 55 publications

Magnetic-Field-Induced Wigner Crystallization of Charged Interlayer Excitons in van der Waals Heterostructures

Magnetic-Field-Induced Wigner Crystallization of Charged Interlayer Excitons in van der Waals Heterostructures

Cooling low-dimensional electron systems into the microkelvin regime

Generalized Wigner crystallization in moiré materials

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