7.1k citations · 54.5k across the 318 of their papers we have counts for
19 papers · 1 filter
Fermionic tensor networks for higher order topological insulators from charge pumping
Anna Hackenbroich, B. Andrei Bernevig, Norbert Schuch +1
We apply the charge pumping argument to fermionic tensor network representations of d-dimensional topological insulators (TIs) to obtain tensor network states for (d+1)-dimensional…
Cascade of electronic transitions in magic-angle twisted bilayer graphene
Dillon Wong, Kevin P. Nuckolls, Myungchul Oh +7
Magic-angle twisted bilayer graphene (MATBG) exhibits a rich variety of electronic states, including correlated insulators, superconductors, and topological phases. Understanding t…
Thermalization and its absence within Krylov subspaces of a constrained Hamiltonian
Sanjay Moudgalya, Abhinav Prem, Rahul Nandkishore +2
We study the quantum dynamics of a simple translation invariant, center-of-mass (CoM) preserving model of interacting fermions in one dimension (1D), which arises in multiple exper…
Multi-Layer Restricted Boltzmann Machine Representation of 1D Quantum Many-Body Wave Functions
Huan He, Yunqin Zheng, B. Andrei Bernevig +1
We consider representing two classes of 1D quantum wave functions of spin systems, including the AKLT and CFT correlator wave functions, in terms of multi-layer restricted Boltzman…
Real Space Invariants: Twisted Bulk-Boundary Correspondence of Fragile Topology
Zhi-Da Song, Luis Elcoro, B. Andrei Bernevig
In this paper, we propose a new type of bulk-boundary correspondence as a generic approach to theoretically and experimentally detect fragile topological states. When the fragile p…
Detection of Topological Materials with Machine Learning
Nikolas Claussen, B. Andrei Bernevig, Nicolas Regnault
Databases compiled using ab-initio and symmetry-based calculations now contain tens of thousands of topological insulators and topological semimetals. This makes the application of…