TY - JOUR

T1 - Quantum hall systems studied by the density matrix renormalization group method

AU - Shibata, Naokazu

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

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U2 - 10.1143/PTPS.176.182

DO - 10.1143/PTPS.176.182

M3 - Article

AN - SCOPUS:67649532289

SP - 182

EP - 202

JO - Progress of Theoretical Physics Supplement

JF - Progress of Theoretical Physics Supplement

SN - 0375-9687

IS - 176

ER -