Abstract
Low-dimensional nano and two-dimensional materials are of great interest to many disciplines and may have a lot of applications in fields such as electronics, optoelectronics, and photonics. One can create quantum Hall phases by applying a strong magnetic field perpendicular to a two-dimensional electron system. One characterizes the nature of the system by looking at magneto-transport data. There have been a few quantum phases seen in past experiments on GaAs/AlGaAs heterostructures that manifest anisotropic magnetoresistance, typically, in high Landau levels. In this work, we model the source of anisotropy as originating from an internal anisotropic interaction between electrons. We use this framework to study the possible anisotropic behavior of finite clusters of electrons at filling factor 1/6 of the lowest Landau level.
Highlights
Low-dimensional systems in which electrons are restricted to move in less than three spatial dimensions have always attracted great interest as a result of novel theoretical phenomena and potential for technological applications in the field of electronic devices and materials
The objective of the current study is to examine the energetic stability of a liquid crystalline phase that lacks rotational symmetry at filling factor ν = 1/6 of the Landau level (LLL) in presence of a degree of anisotropy introduced by an anisotropic Coulomb interaction potential
We focused our attention on small 2D systems of electrons in the quantum Hall regime in which the kinetic energy is practically frozen to the LLL value in absence of interactions
Summary
Low-dimensional systems in which electrons are restricted to move in less than three spatial dimensions have always attracted great interest as a result of novel theoretical phenomena and potential for technological applications in the field of electronic devices and materials. The objective of the current study is to examine the energetic stability of a liquid crystalline phase that lacks rotational symmetry at filling factor ν = 1/6 of the LLL in presence of a degree of anisotropy introduced by an anisotropic Coulomb interaction potential. We choose this particular filling factor since it is very close to the critical filling factor ν ≈ 1/7 where a transition to a Winger solid state takes place.
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