7 citations · 22 across the 8 of their papers we have counts for
8 papers
Anyon related correlations in two-dimensional Coulomb gases
B. Abdullaev, U. Rössler, C. -H. Park
In our recent paper (Phys. Rev. B 76, 075403 (2007)), we have applied the anyon concept to derive an approximate analytic formula for the ground state energy, which applies to two-…
Analytic approach to the ground state energy of charged anyon gases in the high magnetic field
B. Abdullaev, U. Rössler, C. -H. Park
We present analytic formulas for the ground state energy of the two-dimensional (2D) anyon gas in the quantum limit of a perpendicular magnetic field (Landau level filling factor ν…
Analytic approach to the ground-state energy of charged anyon gases
B. Abdullaev, U. Roessler, M. Musakhanov
We derive an approximate analytic formula for the ground-state energy of the charged anyon gas. Our approach is based on the harmonically confined two-dimensional (2D) Coulomb anyo…
Approximate ground state of a confined Coulomb anyon gas in an external magnetic field
B. Abdullaev, G. Ortiz, U. Roessler +2
We derive an analytic, albeit approximate, expression for the ground state energy of N Coulomb interacting anyons with fractional statistics nu, 0<= |nu| <= 1, confined in a two-di…
Complex Diffusion Monte-Carlo method: tests by the simulations of 2D electron in magnetic field and 2D fermions-anyons in parabolic well
B. Abdullaev, M. Musakhanov, A. Nakamura
We propose a new Complex Diffusion Monte Carlo (CDMC) method for the simulation of quantum systems with complex wave function. In CDMC the modulus and phase of wave function are si…
Complex diffusion Monte-Carlo method: test by the simulation of the 2D fermions
B. Abdullaev, M. Musakhanov, A. Nakamura
On the base of the diffusion Monte-Carlo method we develop the method allowing to simulate the quantum systems with complex wave function. The method is exact and there are no appr…