Detecting signatures of topological order from microscopic Hamiltonians

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Detecting signatures of topological order from microscopic Hamiltonians

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Pollmann, Frank

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2015-05

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I will show that numerical investigations of a many-body ground state wavefunction using the density matrix renormalization group (DMRG) method can yield a remarkably complete characterization of different types of topological orders. A central tool is the entanglement which encodes many of the essential features. First, I will show how characteristic properties of the topological excitations in fractional quantum Hall states can be extracted directly from the ground state wave function. Second, I will consider symmetry protected topological phases for which the characterizing symmetry fractionalization can be determined.

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Symmetries and Interactions in Topological Matter 2015

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Pollmann, Frank. (2015). Detecting signatures of topological order from microscopic Hamiltonians. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/172322.

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