# Calendar

A Wigner Crystal (WC) is an exciting platform for learning fundamental concepts of long-range orders that is key to magnetism, superconductivity, superfluidity, and topological matters. This solid phase of electrons is expected to emerge only when the inter-particle Coulomb energy dominates the zero-point energy. Even though such a condition can be intuitively assumed in ultra-dilute two-dimensional (2D) systems where the ratio of the Coulomb energy *E _{ee}* and the Fermi energy

*E*,

_{F}*r*, reaches values close to the anticipated onset point, the experimental realization of it has proven to be an outstanding challenge. The tininess of

_{s}=E_{ee}/E_{F}*E*and

_{ee}*E*makes a WC fragile even to moderate random disorders that usually overwhelm the interaction effect by driving an Anderson localization or a glass. Moreover, random disorder and quantum fluctuations are important factors that reduces the melting point even below what can be reached with modern low temperature (T) experimental capabilities. Consequently, a WC has not been rigorously demonstrated. Important questions in relations to Mermin-Wagner theorem and the Kosterlitz-Thouless (KT) transition [1], with possible intermediate phases such as hexatic [2] or microemulsions [3] including bubble and stripe phases, remain to be explored.

_{F}We utilize ultra-high purity *p*-GaAs 2D systems in which the carrier density can be continuously tuned from 5x10^{10} cm^{-2} down to 7x10^{8} cm^{-2}. Effective sample cooling down to 10 mK is achieved via a state-of-the-art helium-3 immersion cell technique. Delicate dc and dc+ac transport study reveals benchmark signatures in terms of both many-body pinning and melting transitions. Rigorously pinned WCs are characterized by enormous (G?) pinning strength, even stronger than those found in charge density waves (CDWs), consistent with a macroscopic correlation length. Melting occurs under both pressure and temperature variations both of which confirm two-stage characteristics: 1^{st} stage-discontinuous WC-intermediate phase transition; 2^{nd} stage-smooth intermediate phase-liquid transition. Remarkably, the 1^{st} stage transition, in contrast to the KT model, exhibits first-order characteristics according to the steep discontinuous drop in the pinning strength and it occurs at T below a melting temperature (T_{m}) of 30 mK. The 2^{nd} stage is a smooth crossover occurring around 120mK, consistent with numerous previous results. T_{m}, being only ¼ of the classical estimate, is likely a confirmation of the disorder effect influencing melting.

__References __

[1] J.M. Kosterlitz, J. M., and D. J. Thouless, Journal of Physics C: Solid State Physics 5(11), L124(1972)

[2] David R. Nelson and B. I. Halperin, Physical Review B 19, 2457 (1979)

[3] B.I. Spivak and S. A. Kivelson, Physical Review B 43, 3740 (1991)

\n\nSPEAKER:Jian Huang, Wayne State University

ESB 190

false## Condensed Matter Seminar: "Melting of two-dimensional Wigner Crystals"

Speaker |
(sign-up)
Jian Huang, Wayne State University |
---|---|

Date: | 9/1/2017 |

Time: | 1 p.m. |

Location: | ESB 190 |

Sponsor: | Physics - Condensed Matter |

Event Type: | Seminar/Symposium |

A Wigner Crystal (WC) is an exciting platform for learning fundamental concepts of long-range orders that is key to magnetism, superconductivity, superfluidity, and topological matters. This solid phase of electrons is expected to emerge only when the inter-particle Coulomb energy dominates the zero-point energy. Even though such a condition can be intuitively assumed in ultra-dilute two-dimensional (2D) systems where the ratio of the Coulomb energy E, _{F}r, reaches values close to the anticipated onset point, the experimental realization of it has proven to be an outstanding challenge. The tininess of _{s}=E_{ee}/E_{F}E and _{ee}E makes a WC fragile even to moderate random disorders that usually overwhelm the interaction effect by driving an Anderson localization or a glass. Moreover, random disorder and quantum fluctuations are important factors that reduces the melting point even below what can be reached with modern low temperature (T) experimental capabilities. Consequently, a WC has not been rigorously demonstrated. Important questions in relations to Mermin-Wagner theorem and the Kosterlitz-Thouless (KT) transition [1], with possible intermediate phases such as hexatic [2] or microemulsions [3] including bubble and stripe phases, remain to be explored._{F}We utilize ultra-high purity
[1] J.M. Kosterlitz, J. M., and D. J. Thouless, Journal of Physics C: Solid State Physics 5(11), L124(1972) [2] David R. Nelson and B. I. Halperin, Physical Review B 19, 2457 (1979) [3] B.I. Spivak and S. A. Kivelson, Physical Review B 43, 3740 (1991) |

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