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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
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Posts
Future Blog Post
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Blog Post number 4
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Blog Post number 3
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Blog Post number 2
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Blog Post number 1
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portfolio
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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: The TKNN invariant
Published:
An overview of the TKNN invariant and the connection to the mathematics of fibre bundles.
Journal Club on TQFTs and category theory
Published:
An introduction to categpry theory for physicists and the formulation of TQFTs in this language.
Journal Club on the Ising gauge theory
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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
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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
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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.