Quantum phases of disordered flatband lattice fractional quantum Hall systems

Details Quantum phases of disordered flatband lattice fractional quantum Hall systems Quantum phases of disordered flatband lattice fractional quantum Hall systems

2012-02-07

arxiv.org/abs/1202.1526v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures

Scientific paper

By numerical exact diagonalization techniques, we obtain the quantum phase diagram of the lattice fractional quantum Hall (FQH) systems in the presence of quenched disorder. By implementing an array of local potential traps representing the disorder, we show that the system undergoes a series of quantum phase transitions as the disorder and/or the interaction is tuned. As the strength of potential traps is increased, the FQH state turns into a compressible liquid, and then into a topologically trivial insulator. We use numerically calculated energy gap, quantum degeneracy, Chern number, entanglement spectrum, and fidelity to identify various quantum phases. The connection to continuum FQH effects is also discussed.

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