Year: 2014
Type: preprint
Abstract: The intrinsic geometric degree of freedom that was proposed to determine the optimal correlation energy of the fractional quantum Hall states, is analyzed for quantum confined planar electron systems. One major advantage in this case is that the role of various unimodular metrics resulting from the absence of rotational symmetry can be investigated independently or concurrently. For interacting electrons in our system, the confinement metric due to the anisotropy shifts the minimum of the ground state and the low-lying excited states from the isotropic case much more strongly than the corresponding shift due to the unimodular Galilean metric. Implications of these results for possible observation of higher Landau level filling fractions have been elucidated.
Source: arXiv (Cornell University)
Authors: Ghazaryan, Areg, Chakraborty, Tapash
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1832335232