• Publications
  • Influence
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 of
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 have
One-dimensional quantum walks
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
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
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
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 invoke
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. Fast
Discrete Time Crystals: Rigidity, Criticality, and Realizations.
A simple model for a one-dimensional discrete time crystal which explicitly reveals the rigidity of the emergent oscillations as the drive is varied is considered and a blueprint based upon a one dimensional chain of trapped ions is proposed.
Operator Spreading and the Emergence of Dissipative Hydrodynamics under Unitary Evolution with Conservation Laws
We study the scrambling of local quantum information in chaotic many-body systems in the presence of a locally conserved quantity like charge or energy that moves diffusively. The interplay between
Quasiparticle statistics and braiding from ground state entanglement
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