Essays about: "fractional quantum Hall effect"

Found 3 essays containing the words fractional quantum Hall effect.

  1. 1. The Quantum Hall Effect

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Conrad Grälls; [2020]
    Keywords : quantum hall effect; QHE; fractional quantum hall effect; FQHE; hall effect;

    Abstract : The quantum Hall effect occurs when a conductor carrying a current is placed in a perpendicular magnetic field. If certain conditions are met, such as strong magnetic field and low temperature, the resistivity becomes quantised, taking values of integer or fractional multiples of h/e2. READ MORE

  3. 2. Anyons in (1 + 1) dimensions and the deformed Calogero-Sutherland model

    University essay from KTH/Teoretisk fysik

    Author : Farrokh Atai; [2011]
    Keywords : Key words: FQHE; Anyons; Integrable many-body system; Deformed Calogero-Sutherland model;

    Abstract : This thesis deals with a conformal field theoretical treatment of abelian anyons in (1 + 1)-dimensions and their relation to the integrable Calogero-Sutherland models. We generalize previous work relating anyons to the Calogero-Sutherland model by showing that the correlation function of the anyon field operators corresponds to the eigenfunctions of the deformed Calogero-Sutherland model. READ MORE

  4. 3. Exact Diagonalization of Few-electron Quantum Dots

    University essay from Institutionen för datavetenskap, fysik och matematik, DFM

    Author : Shirin Hakimi; [2009]
    Keywords : two-dimensional quantum dot; strongly correlated system; few-electron system; exact diagonalization; Lanczos method; Landau level; fractional quantum Hall effect; Wigner crystal; Hartree-Fock approximation; Second quantization;

    Abstract : We consider a system of few electrons trapped in a two-dimensional circularquantum dot with harmonic confinement and in the presence of ahomogeneous magnetic field, with focus on the role of e-e interaction. Byperforming the exact diagonalization of the Hamiltonian in second quantization,the low-lying energy levels for spin polarized system are obtained. READ MORE