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

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          Abstract

          A sufficiently large perpendicular magnetic field quenches the kinetic (Fermi) energy of an interacting two-dimensional (2D) system of fermions, making them susceptible to the formation of a Wigner solid (WS) phase in which the charged carriers organize themselves in a periodic array in order to minimize their Coulomb repulsion energy. In low-disorder 2D electron systems confined to modulation-doped GaAs heterostructures, signatures of a magnetic-field-induced WS appear at low temperatures and very small Landau level filling factors (ν≃1/5). In dilute GaAs 2D hole systems, on the other hand, thanks to the larger hole effective mass and the ensuing Landau level mixing, the WS forms at relatively higher fillings (ν≃1/3). Here we report our measurements of the fundamental temperature vs filling phase diagram for the 2D holes' WS-liquid thermal melting. Moreover, via changing the 2D hole density, we also probe their Landau level mixing vs filling WS-liquid quantum melting phase diagram. We find our data to be in good agreement with the results of very recent calculations, although intriguing subtleties remain.

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          Author and article information

          Journal
          Phys Rev Lett
          Physical review letters
          American Physical Society (APS)
          1079-7114
          0031-9007
          Jul 17 2020
          : 125
          : 3
          Affiliations
          [1 ] Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA.
          [2 ] Department of Physics, Northern Illinois University, DeKalb, Illinois 60115, USA.
          Article
          10.1103/PhysRevLett.125.036601
          32745416
          01e35e81-2f61-4976-92bc-bb0e05e46bc3
          History

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