Formulation and Application of Quantum Monte Carlo Method to Fractional Quantum Hall Systems
نویسندگان
چکیده
Quantum Monte Carlo method is applied to fractional quantum Hall systems. The use of the linear programming method enables us to avoid the negative-sign problem in the Quantum Monte Carlo calculations. The formulation of this method and the technique for avoiding the sign problem are described. Some numerical results on static physical quantities are also reported.
منابع مشابه
A ug 1 99 6 Study of composite fermions : Beyond few particle systems
We construct a new representation of composite fermion wave functions in the lowest Landau level which enables Monte Carlo computations at arbitrary filling factors for a fairly large number of composite fermions, thus clearing the way toward a more detailed quantitative investigation of the fractional quantum Hall effect. As an illustrative application, thermodynamic estimates for the transpor...
متن کاملApplication of Fermi-hypernetted-chain theory to composite-fermion quantum Hall states
The Fermi-hypernetted-chain ~FHNC! theory and the effective hypernetted-chain method are applied to study the composite-fermion ~CF! states of the fractional quantum Hall effect. Using this theory we compute, in the thermodynamic limit, the correlation energy, radial distribution function, and static structure factor for all unprojected CF wave functions. The unprojected excitation gaps for n51...
متن کاملMonte Carlo simulation method for Laughlin-like states in a disk geometry
We discuss an alternative accurate Monte Carlo method to calculate the ground-state energy and related quantities for Laughlin states of the fractional quantum Hall effect in a disk geometry. This alternative approach allows us to obtain accurate bulk regime ~thermodynamic limit! values for various quantities from Monte Carlo simulations with a small number of particles ~much smaller than that ...
متن کاملQuantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study
A generalized diffusion Monte Carlo method for solving the many-body Schrödinger equation on curved manifolds is introduced and used to perform a “fixed-phase” simulation of the fractional quantum Hall effect on the Haldane sphere. This new method is used to study the effect of Landau level mixing on the n 1y3 energy gap and the relative stability of spin-polarized and spin-reversed quasielec...
متن کاملMonte Carlo Hamiltonian - From Statistical Physics to Quantum Theory
Monte Carlo techniques have been widely employed in statistical physics as well as in quantum theory in the Lagrangian formulation. However, in some areas of application to quantum theories computational progress has been slow. Here we present a recently developed approach: the Monte Carlo Hamiltonian method, designed to overcome the difficulties of the conventional approach.
متن کامل