Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
- X. Wan, A. Turner, A. Vishwanath, S. Savrasov
- Physics
- 2 May 2011
We investigate novel phases that emerge from the interplay of electron correlations and strong spin-orbit interactions. We focus on describing the topological semimetal, a three-dimensional phase of…
Weyl and Dirac semimetals in three-dimensional solids
- N. P. Armitage, E. Mele, A. Vishwanath
- Physics
- 2 May 2017
Weyl and Dirac semimetals are three-dimensional phases of matter with gapless electronic excitations that are protected by topology and symmetry. As three-dimensional analogs of graphene, they have…
One-dimensional quantum walks
- A. Ambainis, E. Bach, A. Nayak, A. Vishwanath, J. Watrous
- Mathematics, PhysicsSymposium on the Theory of Computing
- 6 July 2001
A quantum analog of the symmetric random walk, which the authors call the Hadamard walk, is analyzed, which has position that is nearly uniformly distributed in the range after steps, in sharp contrast to the classical random walk.
Deconfined Quantum Critical Points
- T. Senthil, A. Vishwanath, L. Balents, S. Sachdev, M. Fisher
- PhysicsScience
- 13 November 2003
It is shown that near second-order quantum phase transitions, subtle quantum interference effects can invalidate this paradigm for quantum criticality, and a theory of quantum critical points in a variety of experimentally relevant two-dimensional antiferromagnets is presented.
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
- T. Senthil, L. Balents, S. Sachdev, A. Vishwanath, M. Fisher
- Physics
- 23 December 2003
We present the critical theory of a number of zero-temperature phase transitions of quantum antiferromagnets and interacting boson systems in two dimensions. The most important example is the…
Origin of Magic Angles in Twisted Bilayer Graphene.
- G. Tarnopolsky, A. Kruchkov, A. Vishwanath
- PhysicsPhysical Review Letters
- 15 August 2018
A fundamental continuum model for TBG is reported which features not just the vanishing of the Fermi velocity, but also the perfect flattening of the entire lowest band.
Quasiparticle statistics and braiding from ground state entanglement
- Yi Zhang, T. Grover, A. Turner, M. Oshikawa, A. Vishwanath
- Physics
- 9 November 2011
Topologically ordered phases are gapped states, defined by the properties of excitations when taken around one another. Here we demonstrate a method to extract the statistics and braiding of…
Hydrodynamic Focusing on a Silicon Chip: Mixing Nanoliters in Microseconds
- J. Knight, A. Vishwanath, J. Brody, R. Austin
- Materials Science
- 27 April 1998
We describe the formation and control of nanoscale, submerged fluid jets. The focusing process necessary to achieve these small length scales is characterized experimentally and theoretically. Fast…
Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene
- H. Po, Liujun Zou, A. Vishwanath, T. Senthil
- PhysicsPhysical Review X
- 26 March 2018
A remarkable recent experiment has observed Mott insulator and proximate superconductor phases in twisted bilayer graphene when electrons partly fill a nearly flat mini-band that arises a `magic'…
Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
- A. Vishwanath, T. Senthil
- Physics
- 13 September 2012
We discuss physical properties of `integer' topological phases of bosons in D=3+1 dimensions, protected by internal symmetries like time reversal and/or charge conservation. These phases invoke…
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