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- Matthew C Barr, Michael P Zaletel, Eric J Heller
- Nano letters
- 2010

We present an approach to predicting extrinsic electron resonance widths within quantum corral nanostructures based on analogies with acoustics. Established quantum mechanical methods for calculating resonance widths, such as multiple scattering theory, build up the scattering atom by atom, ignoring the structure formed by the atoms, such as walls or… (More)

- Haruki Watanabe, Hoi Chun Po, Ashvin Vishwanath, Michael Zaletel
- Proceedings of the National Academy of Sciences…
- 2015

We determine conditions on the filling of electrons in a crystalline lattice to obtain the equivalent of a band insulator--a gapped insulator with neither symmetry breaking nor fractionalized excitations. We allow for strong interactions, which precludes a free particle description. Previous approaches that extend the Lieb-Schultz-Mattis argument invoked… (More)

- Michael P Zaletel, Jens H Bardarson, Joel E Moore
- Physical review letters
- 2011

Universal logarithmic terms in the entanglement entropy appear at quantum critical points (QCPs) in one dimension (1D) and have been predicted in 2D at QCPs described by 2D conformal field theories. The entanglement entropy in a strip geometry at such QCPs can be obtained via the "Shannon entropy" of a 1D spin chain with open boundary conditions. The… (More)

- Hoi Chun Po, Haruki Watanabe, Michael P Zaletel, Ashvin Vishwanath
- Science advances
- 2016

An early triumph of quantum mechanics was the explanation of metallic and insulating behavior based on the filling of electronic bands. A complementary, classical picture of insulators depicts electrons as occupying localized and symmetric Wannier orbitals that resemble atomic orbitals. We report the theoretical discovery of band insulators for which… (More)

- Michael P Zaletel, Roger S K Mong, Frank Pollmann
- Physical review letters
- 2013

We show how to numerically calculate several quantities that characterize topological order starting from a microscopic fractional quantum Hall Hamiltonian. To find the set of degenerate ground states, we employ the infinite density matrix renormalization group method based on the matrix-product state representation of fractional quantum Hall states on an… (More)

- Michael P Zaletel, Zhenyue Zhu, Yuan-Ming Lu, Ashvin Vishwanath, Steven R White
- Physical review letters
- 2016

The anyonic excitations of a spin liquid can feature fractional quantum numbers under space group symmetries. Detecting these fractional quantum numbers, which are analogs of the fractional charge of Laughlin quasiparticles, may prove easier than the direct observation of anyonic braiding and statistics. Motivated by the recent numerical discovery of… (More)

- Haruki Watanabe, Hoi Chun Po, Michael P Zaletel, Ashvin Vishwanath
- Physical review letters
- 2016

Nonsymmorphic symmetries like screws and glides produce electron band touchings, obstructing the formation of a band insulator and leading, instead, to metals or nodal semimetals even when the number of electrons in the unit cell is an even integer. Here, we calculate the electron fillings compatible with being a band insulator for all 230 space groups, for… (More)

In a two-dimensional electron gas under a strong magnetic field, correlations generate emergent excitations distinct from electrons. It has been predicted that "composite fermions"--bound states of an electron with two magnetic flux quanta--can experience zero net magnetic field and form a Fermi sea. Using infinite-cylinder density matrix renormalization… (More)