Geraedts, S. (2014). Numerical Study of a Bosonic Topological Insulator in Three Dimensions. Perimeter Institute for Theoretical Physics. https://pirsa.org/14100113
MLA
Geraedts, Scott. Numerical Study of a Bosonic Topological Insulator in Three Dimensions. Perimeter Institute for Theoretical Physics, Oct. 21, 2014, https://pirsa.org/14100113
BibTex
@misc{ scivideos_PIRSA:14100113,
doi = {10.48660/14100113},
url = {https://pirsa.org/14100113},
author = {Geraedts, Scott},
keywords = {Quantum Matter},
language = {en},
title = {Numerical Study of a Bosonic Topological Insulator in Three Dimensions},
publisher = {Perimeter Institute for Theoretical Physics},
year = {2014},
month = {oct},
note = {PIRSA:14100113 see, \url{https://scivideos.org/index.php/pirsa/14100113}}
}
We construct a model which realizes a (3+1)-dimensional symmetry-protected topological phase of bosons with U(1) charge conservation and time reversal symmetry, envisioned by A. Vishwanath and T. Senthil [PRX 4 011016]. Our model works by introducing an additional spin degree of freedom, and binding its hedgehogs to a species of charged bosons. We study the model using Monte Carlo and determine its bulk phase diagram; the phase where the bound states of hedgehogs and charges condense is the topological phase, and we demonstrate this by observing a Witten effect. We also study the surface phase diagram on a (2+1)-dimensional boundary between the topological and trivial insulators. We find a number of exotic phases on the surface, including exotic superfluids, a phase with a Hall conductivity quantized to half the value possible in 2D, and a phase with intrinsic topological order. We also find a new bulk phase with intrinsic topological order.
