Competition between fractional quantum Hall liquid and Wigner solid at small fillings: Role of layer thickness and Landau level mixing

Villegas Rosales, K. A.; Singh, S. K.; Ma, Meng K.; Hossain, Md. Shafayat; Chung, Y. J.; Pfeiffer, L. N.; West, K. W.; Baldwin, K. W.; Shayegan, M.

doi:10.1103/PhysRevResearch.3.013181

Title: Competition between fractional quantum Hall liquid and Wigner solid at small fillings: Role of layer thickness and Landau level mixing

Journal Article · Thu Feb 25 00:00:00 EST 2021 · Physical Review Research

DOI:https://doi.org/10.1103/PhysRevResearch.3.013181· OSTI ID:1767353

Villegas Rosales, K. A.; Singh, S. K.; Ma, Meng K.;

; Chung, Y. J.; Pfeiffer, L. N.; West, K. W.; Baldwin, K. W.;

What is the fate of the ground state of a two-dimensional electron system at very low Landau level filling factors (ν) where interaction reigns supreme? An ordered array of electrons, the so-called Wigner crystal, has long been believed to be the answer. It was in fact the search for the elusive Wigner crystal that led to the discovery of an unexpected, incompressible liquid state, namely the fractional quantum Hall state at ν = 1/3. Understanding the competition between the liquid and solid ground states has since remained an active field of fundamental research. Here we report experimental data for a new two-dimensional system where the electrons are confined to an AlAs quantum well. The exceptionally high quality of the samples and the large electron effective mass allow us to determine the liquid-solid phase diagram for the two-dimensional electrons in a large range of filling factors near ≃1/3 and ≃1/5. The data and their comparison with an available theoretical phase diagram reveal the crucial role of Landau level mixing and finite electron layer thickness in determining the prevailing ground states.

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-00-ER45841; FG02-00ER45841

OSTI ID:: 1767353

Alternate ID(s):: OSTI ID: 1832470

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Vol. 3 Journal Issue: 1; ISSN 2643-1564

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Competition between fractional quantum Hall liquid and Wigner solid at small fillings: Role of layer thickness and Landau level mixing

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