Quantum nematic as ground state of a two-dimensional electron gas in a magnetic field

Abstract

We study the ground state of a nematic phase of the two-dimensional electron gas at filling fraction $\nu =1/2$ using a variational wavefunction having Jastrow pair-correlations of the form ${\Pi }_{i<j}(z_i-z_j{)}^2$ and an elliptical Fermi sea. Using the Fermi hypernetted chain approximation we find that below a critical value of the broken symmetry parameter, the nematic phase is energetically favorable as compared to the isotropic state for the second excited Landau level. We also find that below a critical value of the layer ``thickness'' parameter $\lambda$ (and in the actual materials) the quantum nematic is energetically favorable relative to the stripe ordered Wigner crystal phase.

arXiv comment4 two-column pages, 4 figures

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Cited by in corpus (18)

• Theory of Nematic Fractional Quantum Hall State
• Fluctuating Stripes in Strongly Correlated Electron Systems and the Nematic-Smectic Quantum Phase Transition
• Evidence of a fractional quantum Hall nematic phase in a microscopic model
• Observation of pinning mode of stripe phases of 2D systems in high Landau levels
• Nematic quantum phase transition of composite Fermi liquids in half-filled Landau levels and their geometric response
• Symmetry-breaking Fermi surface deformations from central interactions in two dimensions
• Pomeranchuk Instability of Composite Fermi Liquids
• Pinning mode resonances of 2D electron stripe phases: Effect of in-plane magnetic field
• Lifshitz transitions and crystallization of fully-polarised dipolar Fermions in an anisotropic 2D lattice
• Anisotropic magnetoresistance and piezoelectric effect in GaAs Hall samples
• Pomeranchuk instability: symmetry breaking and experimental signatures
• States of interacting composite fermions at Landau level fillig $\nu =2+3/8$
• Nematic phase in a two-dimensional Hubbard model at weak coupling and finite temperature
• Variational Monte-Carlo calculation of the nematic state of the two-dimensional electron gas in a magnetic field
• Nematic order on the surface of a three-dimensional topological insulator
• Tuning the effects of Landau-level mixing on anisotropic transport in quantum Hall systems
• Competition between Pomeranchuk instabilities in the nematic and hexatic channels in a two-dimensional spinless Fermi fluid
• Metastable anisotropy orientation of nematic quantum Hall fluids