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Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
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 ofExpand
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One-dimensional quantum walks
We define and analyze quantum computational variants of random walks on one-dimensional lattices, including the Hadamard walk, a quantum analog of the symmetric random walk. Expand
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Weyl and Dirac semimetals in three-dimensional solids
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 haveExpand
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Deconfined Quantum Critical Points
The theory of second-order phase transitions is one of the foundations of modern statistical mechanics and condensed-matter theory. A central concept is the observable order parameter, whose nonzeroExpand
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Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
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 theExpand
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Hydrodynamic Focusing on a Silicon Chip: Mixing Nanoliters in Microseconds
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. FastExpand
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Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
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 invokeExpand
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Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene.
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'Expand
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Dirac Fermions in Solids: From High-Tc Cuprates and Graphene to Topological Insulators and Weyl Semimetals
Understanding Dirac-like fermions has become an imperative in modern condensed matter sciences: All across the research frontier, from graphene to high Tc superconductors to the topologicalExpand
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One-dimensional topologically protected modes in topological insulators with lattice dislocations
Topological defects, such as domain walls and vortices, have long fascinated physicists. A novel twist is added in quantum systems such as the B-phase of superfluid helium He3, where vortices areExpand
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