Glenn Wagner

Glenn Wagner

I am a third-year PhD student at the University of Oxford working on strongly correlated electron systems.

Posts by Collection

portfolio

publications

Interaction Effects and Charge Quantization in Single-Particle Quantum Dot Emitters

Published in Physical Review Letters, 2019

We discuss a theoretical model of an on-demand single-particle emitter that employs a quantum dot, attached to an integer or fractional quantum Hall edge state. Via an exact mapping of the model onto the spin-boson problem we show that Coulomb interactions between the dot and the chiral quantum Hall edge state, unavoidable in this setting, lead to a destruction of precise charge quantization in the emitted wave packet. Our findings cast doubt on the viability of this setup as a single-particle source of quantized charge pulses. We further show how to use a spin-boson master equation approach to explicitly calculate the current pulse shape in this setup.

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talks

Journal Club on the Ising gauge theory

Published:

I will introduce the Ising gauge theory as the simplest example of a lattice gauge theory. I will discuss the physical observables in this model before moving on to describe the phase diagram. Along the way we will discover a duality to the transverse field Ising model and the topological aspects of this model.

Journal Club on topological Insulators: Toy models and anomalies

Published:

I will talk about the Haldane model for the Quantum Anomalous Hall Effect and the Kane and Mele model for the Quantum Spin Hall Effect. I will then discuss the relation between topological insulators and anomalies and the theta-term.

Journal Club on bosonization

Published:

Bosonization is an example of a duality—it relates fermions and bosons in 1+1d. In my talk, I will describe the bosonization formalism, in particular, I will motivate and offer a heuristic derivation (without detailed proof) of the bosonization identity. I will follow the constructive approach of van Delft and Schoeller. As an application of the formalism, I will explain the connection to Luttinger liquids.

teaching

Condensed Matter for 3rd years

Undergraduate course, Merton College, University of Oxford, 2015

Two terms of teaching solid state physics, including classes and tutorials.