Quantum hall systems studied by the density matrix renormalization group method

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8 Citations (Scopus)

Abstract

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

Original languageEnglish
Pages (from-to)182-202
Number of pages21
JournalProgress of Theoretical Physics Supplement
Issue number176
DOIs
Publication statusPublished - 2008 Jan 1

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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