Infinite density matrix renormalization group for multicomponent quantum Hall systems

Article

关键词: LANDAU-LEVEL;    WAVE-FUNCTIONS;    STATES;    QUANTIZATION;    TRANSITION;    ELECTRONS;   

DOI  :  10.1103/PhysRevB.91.045115

来源: SCIE

【 摘 要 】

While the simplest quantum Hall plateaus, such as the nu = 1/3 state in GaAs, can be conveniently analyzed by assuming only a single active Landau level participates, for many phases the spin, valley, bilayer, subband, or higher-Landau-level indices play an important role. These multicomponent problems are difficult to study using exact diagonalization because each component increases the difficulty exponentially. An important example is the plateau at nu = 5/2, where scattering into higher Landau levels chooses between the competing non-Abelian Pfaffian and anti-Pfaffian states. We address the methodological issues required to apply the infinite density matrix renormalization group to quantum Hall systems with multiple components and long-range Coulomb interactions, greatly extending accessible system sizes. As an initial application we study the problem of Landau-level mixing in the nu = 5/2 state. Within the approach to Landau-level mixing used here, we find that at the Coulomb point the anti-Pfaffian state is preferred over the Pfaffian state over a range of Landau-level mixing up to the experimentally relevant values.

【 授权许可】

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