Quantum dots in strong magnetic fields: stability criteria for the maximum density droplet
TLDR
In this paper, the ground state of a parabolically confined quantum dot in the limit of very strong magnetic fields where the electron system is completely spin-polarised and all electrons are in the lowest Landau level is discussed.Abstract:
In this article we discuss the ground state of a parabolically confined quantum dot in the limit of very strong magnetic fields where the electron system is completely spin-polarised and all electrons are in the lowest Landau level. Without electron-electron interactions the ground state is a single Slater determinant corresponding to a droplet centred on the minimum of the confinement potential and occupying the minimum area allowed by the Pauli exclusion principle. Electron-electron interactions favour droplets of larger area. We derive exact criteria for the stability of the maximum density droplet against edge excitations and against the introduction of holes in the interior of the droplet. The possibility of obtaining exact results in the strong magnetic field case is related to important simplifications associated with broken time-reversal symmetry in a strong magnetic field.read more
Citations
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Electronic structure of quantum dots
Stephanie Reimann,M. Manninen +1 more
TL;DR: In this paper, the properties of quasi-two-dimensional semiconductor quantum dots are reviewed, and the formation of the so-called maximum-density droplet and its edge reconstruction is discussed.
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Plasmons and magnetoplasmons in semiconductor heterostructures
TL;DR: In this article, the status of the theory and experiment which can contribute to our knowledge of plasmon excitations in synthetic semiconductor heterostructures is surveyed. But, beyond the presentation of the results achieved, there is a need to examine carefully the methodologies employed to obtain such results.
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Symmetry breaking and quantum correlations in finite systems: studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
TL;DR: In this article, a unified description of strongly correlated phenomena in finite systems of repelling particles (whether fermions or bosons) is presented through the development of a two-step method of symmetry breaking at the unrestricted Hartree?Fock level and of subsequent symmetry restoration via post Hartree?Fock projection techniques.
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Hamiltonian theories of the fractional quantum Hall effect
TL;DR: In this paper, the authors review progress on the fractional quantum Hall effect (FQHE) based on what we term Hamiltonian theories, i.e., theories that proceed from the microscopic electronic Hamiltonian to the final solution via a sequence of transformations and approximations, in either the Hamiltonian or path-integral approach, as compared with theories based on exact diagonalization or trial wave functions.
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Non-equilibrium edge-channel spectroscopy in the integer quantum Hall regime
TL;DR: In this article, a new spectroscopic technique for probing the flow of energy in the edge channels of a quantum Hall device finds no loss of energy to such extra edge states.
References
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Mesoscopic phenomena in solids
TL;DR: In this article, the authors present a model for the distribution of mesoscopic fluctuations and relaxation processes in disordered conductors, which is based on random matrix theory and maximum entropy models.