Quantum Hall Systems Studied by the Density Matrix Renormalization Group Method | Zendy

Naokazu Shibata | Zendy

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Quantum Hall Systems Studied by the Density Matrix Renormalization Group Method

Author(s) -

Naokazu Shibata

Publication year - 2008

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.176.182

Subject(s) - density matrix renormalization group , wigner crystal , condensed matter physics , quantum hall effect , ground state , renormalization group , physics , composite fermion , phase diagram , fermi liquid theory , spin (aerodynamics) , quantum phase transition , density matrix , quantum mechanics , quantum spin hall effect , phase transition , quantum , phase (matter) , thermodynamics , superconductivity , electron

The ground-state and low-energy excitations of quantum Hall systems arestudied by the density matrix renormalization group (DMRG) method. From theground-state pair correlation functions and low-energy excitions, theground-state phase diagram is determined, which consists of incompressibleliquid states, Fermi liquid type compressible liquid states, and many kinds ofCDW states called stripe, bubble and Wigner crystal. The spin transition andthe domain formation are studied at v=2/3. The evolution from composite fermionliquid state to an excitonic state in bilayer systems is investigated at totalfilling factor v=1.

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