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- W2019883348 abstract "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 `multi-component' 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 is preferred over the Pfaffian state over a range of Landau level mixing up to the experimentally relevant values." @default.
- W2019883348 created "2016-06-24" @default.
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- W2019883348 date "2015-01-14" @default.
- W2019883348 modified "2023-10-10" @default.
- W2019883348 title "Infinite density matrix renormalization group for multicomponent quantum Hall systems" @default.
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- W2019883348 doi "https://doi.org/10.1103/physrevb.91.045115" @default.
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