35 citations · 62 across the 6 of their papers we have counts for
6 papers
Particle-hole Symmetric Slave Boson Method for the Mixed Valence Problem
Liam L. H. Lau, Piers Coleman
We introduce an analytic slave boson method for treating the finite Anderson impurity model. Our approach introduces two bosons to track both valenc…
Oscillate and Renormalize: Fast Phonons Reshape the Kondo Effect in Flat Band Systems
Liam L. H. Lau, Andreas Gleis, Daniel Kaplan +2
We examine the interplay between electron correlations and phonons in an Anderson-Holstein impurity model with an Einstein phonon. When the phonons are slow compared to charge fluc…
TBG as Topological Heavy Fermion: II. Analytical approximations of the model parameters
Dumitru Călugăru, Maksim Borovkov, Liam L. H. Lau +3
The recently-introduced Topological Heavy Fermion (THF) model [Phys. Rev. Lett. 129, 047601] of twisted bilayer graphene (TBG) aims to reconcile the quantum-dot-like electronic str…
Topological Mixed Valence Model for Twisted Bilayer Graphene
Liam L. H. Lau, Piers Coleman
Song and Bernevig (SB) have recently proposed a topological heavy fermion description of the physics of magic angle twisted bilayer graphene (MATBG), involving the hybridization of…
Quantum walk of two anyons across a statistical boundary
Liam L. H. Lau, Shovan Dutta
We model a quantum walk of identical particles that can change their exchange statistics by hopping across a domain wall in a 1D lattice. Such a "statistical boundary" is transpare…
ODEN: A Framework to Solve Ordinary Differential Equations using Artificial Neural Networks
Liam L. H. Lau, Denis Werth
We explore in detail a method to solve ordinary differential equations using feedforward neural networks. We prove a specific loss function, which does not require knowledge of the…