nLab Ashvin Vishwanath

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Selected writings

On 2d topological phases of matter via abelian Chern-Simons theory:

• Yuan-Ming Lu, Ashvin Vishwanath: Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach, Phys. Rev. B 86 (2012) 125119, Erratum Phys. Rev. B 89 (2014) 199903 [doi:10.1103/PhysRevB.86.125119, arXiv:1205.3156]

On characterizing anyon braiding / modular transformations on topologically ordered ground states by analysis of (topological) entanglement entropy of subregions:

• Yi Zhang, Tarun Grover, Ari M. Turner, Masaki Oshikawa, Ashvin Vishwanath, Quasiparticle statistics and braiding from ground-state entanglement, Phys. Rev. B 85 (2012) 235151 [doi:10.1103/PhysRevB.85.235151]

• Yi Zhang, Tarun Grover, Ashvin Vishwanath, General procedure for determining braiding and statistics of anyons using entanglement interferometry, Phys. Rev. B 91 (2015) 035127 [arXiv:1412.0677, doi:10.1103/PhysRevB.91.035127]

On topological semi-metals:

• Ari M. Turner, Ashvin Vishwanath, Part I of: Beyond Band Insulators: Topology of Semi-metals and Interacting Phases, in: Topological Insulators, Contemporary Concepts of Condensed Matter Science 6 (2013) 293-324 [arXiv:1301.0330, ISBN:978-0-444-63314-9]

• N. P. Armitage, Eugene Mele, Ashvin Vishwanath, Weyl and Dirac semimetals in three-dimensional solids, Rev. Mod. Phys. 90 015001 (2018) [doi:10.1103/RevModPhys.90.015001]

On symmetry protected topological phases:

• Xie Chen, Yuan-Ming Lu, Ashvin Vishwanath: Symmetry-protected topological phases from decorated domain walls, Nature Communications 5 3507 (2014) [doi:10.1038/ncomms4507]

and specifically for fractional quantum Hall systems via effective abelian Chern-Simons theory:

• Yuan-Ming Lu, Ashvin Vishwanath: Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications to $\mathbb{Z}_2$ spin liquids, Phys. Rev. B 93 (2016) 155121 [doi:10.1103/PhysRevB.93.155121, arXiv:1302.2634]

On “fragile” (unstable, nonabelian cohomology) effects in topological phases of matter, finer than the K-theory classification of topological phases:

• Hoi Chun Po, Haruki Watanabe, Ashvin Vishwanath: Fragile Topology and Wannier Obstructions, Phys. Rev. Lett. 121 (2018) 126402 [doi:10.1103/PhysRevLett.121.126402]

• Hoi Chun Po, Liujun Zou, T. Senthil, Ashvin Vishwanath: Faithful tight-binding models and fragile topology of magic-angle bilayer graphene, Phys. Rev. B 99 (2019) 195455 [doi:10.1103/PhysRevB.99.195455, arXiv:1808.02482]

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