174 research outputs found
Energy spectrum of strongly correlated particles in quantum dots
The ground state and the excitation spectrum of strongly correlated electrons
in quantum dots are investigated. An analytical solution is constructed by
exact diagonalization of the Hamiltonian in terms of the -particle
eigenmodes.Comment: 10 pages, 10 figures, to appear in Journal of Physics: Conf. Serie
Phase Transition in Strongly Degenerate Hydrogen Plasma
Direct fermionic path-integral Monte-Carlo simulations of strongly coupled
hydrogen are presented. Our results show evidence for the hypothetical plasma
phase transition. Its most remarkable manifestation is the appearance of
metallic droplets which are predicted to be crucial for the electrical
conductivity allowing to explain the rapid increase observed in recent shock
compression measurments.Comment: 1 LaTeX file using jetpl.cls (included), 5 ps figures. Manuscript
submitted to JETP Letter
Interacting electrons in a one-dimensional random array of scatterers - A Quantum Dynamics and Monte-Carlo study
The quantum dynamics of an ensemble of interacting electrons in an array of
random scatterers is treated using a new numerical approach for the calculation
of average values of quantum operators and time correlation functions in the
Wigner representation. The Fourier transform of the product of matrix elements
of the dynamic propagators obeys an integral Wigner-Liouville-type equation.
Initial conditions for this equation are given by the Fourier transform of the
Wiener path integral representation of the matrix elements of the propagators
at the chosen initial times. This approach combines both molecular dynamics and
Monte Carlo methods and computes numerical traces and spectra of the relevant
dynamical quantities such as momentum-momentum correlation functions and
spatial dispersions. Considering as an application a system with fixed
scatterers, the results clearly demonstrate that the many-particle interaction
between the electrons leads to an enhancement of the conductivity and spatial
dispersion compared to the noninteracting case.Comment: 10 pages and 8 figures, to appear in PRB April 1
Hole crystallization in semiconductors
When electrons in a solid are excited to a higher energy band they leave
behind a vacancy (hole) in the original band which behaves like a positively
charged particle. Here we predict that holes can spontaneously order into a
regular lattice in semiconductors with sufficiently flat valence bands. The
critical hole to electron effective mass ratio required for this phase
transition is found to be of the order of 80.Comment: accepted for publication in J. Phys. A: Math. Ge
Wigner function quantum molecular dynamics
Classical molecular dynamics (MD) is a well established and powerful tool in
various fields of science, e.g. chemistry, plasma physics, cluster physics and
condensed matter physics. Objects of investigation are few-body systems and
many-body systems as well. The broadness and level of sophistication of this
technique is documented in many monographs and reviews, see for example
\cite{Allan,Frenkel,mdhere}. Here we discuss the extension of MD to quantum
systems (QMD). There have been many attempts in this direction which differ
from one another, depending on the type of system under consideration. One
direction of QMD has been developed for condensed matter systems and will not
discussed here, e.g. \cite{fermid}. In this chapter we are dealing with unbound
electrons as they occur in gases, fluids or plasmas. Here, one strategy is to
replace classical point particles by wave packets, e.g.
\cite{fermid,KTR94,zwicknagel06} which is quite successful. At the same time,
this method struggles with problems related to the dispersion of such a packet
and difficulties to properly describe strong electron-ion interaction and bound
state formation. We, therefore, avoid such restrictions and consider a
completely general alternative approach. We start discussion of quantum
dynamics from a general consideration of quantum distribution functions.Comment: 18 pages, based on lecture at Hareaus school on computational phyics,
Greifswald, September 200
Effective interaction potential and superfluid-solid transition of spatially indirect excitons
Using an adiabatic approximation we derive an effective interaction
potentially for spatially indirect excitons. Using this potential and path
integral Monte Carlo simulations we study exciton crystllization and the
quantum melting phase transition in a macroscopic system of 2D excitons.
Furthermore, the superfluid fraction is calculated as a function of density and
shown to vanish upon crystallization. We show that the commonly used dipole
model fails to correctly describe indirect excitons in quantum well structures
Influence of the nature of confinement on the melting of Wigner molecules in quantum dots
We analyze the quantum melting of two-dimensional Wigner molecules (WM) in
confined geometries with distinct symmetries and compare it with corresponding
thermal melting. Our findings unfold complementary mechanisms that drive the
quantum and thermal crossovers in a WM and show that the symmetry of the
confinement plays no significant role in determining the quantum crossover
scale . This is because the zero-point motion screens the boundary effects
within short distances. The phase diagram as a function of thermal and quantum
fluctuations determined from independent criteria is unique, and shows
"melting" from the WM to both the classical and quantum "liquids." An
intriguing signature of weakening liquidity with increasing temperature, ,
is found in the extreme quantum regime. The crossover is associated with
production of defects. However, these defects appear to play distinct roles in
driving the quantum and thermal "melting." Our study will help comprehending
melting in a variety of experimental traps - from quantum dots to complex
plasma.Comment: 14 pages, 9 figure
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