**Institution:** Edinburgh

**Assessment: ** Course work 50% / Exam 50%

**Course Summary**

Soft Condensed Matter Physics studies complex fluids in which intermediate level structures with length scale between small molecules and the macroscopic world exist: colloidal particles, polymers, and aggregates spontaneously formed by soap-like (surfactant) molecules. This course emphasises the generic features of these systems (most importantly, Brownian motion), and develops simple models to account for their behaviour. It will also look at how the principle of soft matter physics can give insight into biological problems.

This course will explore the key principles and applications of Magnetism & Superconductivity, and their relevance to current developments in physics. The aims of this course are:

1. To describe the key physical principles of magnetism and superconductivity

2. To explore the theory and applications of ferromagnetism and the macroscopic behaviour of ferromagnets

3. To explore the basic properties, phenomenology and applications of superconducting devices

From our phones to our cars to devices that diagnose medical illness, magnetism is a fundamental tool that enables modern life. This recent video by the IEEE Magnetics Society provides an overview of the applications of magnetism and why it's such an important field. This course will cover the fundamentals of many of these concepts.

**Electronic Structure Theory (SUPAEST)**

**Lecturer:** Andreas Hermann

**Institution: **Edinburgh

**Hours Equivalent Credit:** 20

**Assessment: **Problem Sheets, Project

This is a biennial course which is not offered in 2020/21, but will be running in 2021/22.

**Course Summary**

This course will introduce the methods and approaches used in parameter-free descriptions of the electronic structure of materials, which aim to solve the quantum mechanical many-electron problem. We will discuss underlying ground state theories, such as wave-function based correlation methods and density functional theory, and their implementations in high-performance computing environments. We will study how to use the linear response ansatz and many-body perturbation theory to extract excited state information from those calculations, and thus accurately simulate spectroscopic and inelastic scattering experiments. Assignments will involve calculations on realistic materials on the UK’s national supercomputers.

**Lecturer:**Bernd Braunecker, Jonathan Keeling

**Institution:**St Andrews

**Hours Equivalent Credit:**18

**Assessment:**Continuous Assessment

This is a biennial course which will not run in 2020/21 but is expected to run in 2021/22.

**Course Summary**

These lecturers cover two closely related themes: models of magnetism, and quantum phase transitions. The two parts are strongly linked in that many of the models we will introduce to describe magnetism turn out to be paradigmatic models of quantum phase transitions. The course is intended to be relevant not just for those working on traditional solid state systems, but also those working on cold atom physics, where many of the same models and questions are also relevant.

**This course is no longer offered. **

The course will provide an overview of the field of matrix product and tensor network approaches to many body systems.

Many-body systems are hindered by an exponential complexity in the number of their constituents and thus are hard to solve. Large many body systems however present exotic emerging behaviour ( such as spin liquid, superconducting and super-fluid phases) that we want to understand from first principles. Tensor networks provide a novel theoretical and computational framework to analyse collective emergence in many body systems. We will use Tensor Networks to study classical and quantum many body systems at and out-of equilibrium. The syllabus includes an introduction to the tensor network formalism and graphical notation, the recipe for describing the partition function of a classical model as the norm of a matrix product state (1D),or tensor product state (higher D).

The characterization of the properties of these states like expectation values, correlation functions, and entropies. The renormalization group in the language of tensor networks. The correspondence between statistical mechanics and quantum mechanics and some aspects of outof- equilibrium dynamics in 1 and higher dimensions. We will describe powerful numerical algorithms based on tensor networks like DMRG in 1D and its generalizations in higher D. Students are expected to have a solid background in quantum mechanics and statistical mechanics.

Assessment: Continuous Assessment**This is a biennial course, and it is not expected to run in 2020/21. However, that decision may be revised in December. **

**This is a biennial course. It will run in 2020/21 but not in 2021/22.**

**Institution:**Heriot-Watt

**Hours Equivalent Credit:**20

**Assessment:**Problem sheets (60%) and Final Oral Discussion (40%)

Course Summary

Course Summary

This course explores experimental techniques to fabricate and characterize quantum devices, with particular emphasis on systems based on individual electrons and individual spins.

1) **How
can we fabricate nano-devices?** Growth techniques (evaporation,
sputtering, molecular beam epitaxy). Lithography (optical, electron beam).
Etching.

2) **How
can we characterize nanoscale devices?** AFM, STM, SEM, TEM, optical
microscopy

3) **Quantum
spintronic devices.** Introduction to spins. Spin initialization and
readout in different systems. Rabi oscillations, Ramsey interferometry,
spin-echo. Spin coherence timescales. Examples from different platforms
(quantum dots, nitrogen-vacancy centres in diamond).

4) **introduction
to superconducting devices**. Basic elements of superconductivity, Josephson
junctions, superconducting quantum interference devices.

**Lecturer: Margherita Mazzera**

**Institution:**Heriot-Watt

**Hours Equivalent Credit:**20

**Assessment:**Problem Sheets and Literature Review

**Course Summary**

This course will focus on the theoretical description of quantum materials and related devices where the small size plays a crucial role in determining their properties and behaviours. The fundamental aim is to provide the students with a working knowledge of contemporary theoretical nanophysics. The course explains how nanophysical phenomena can be understood and how predictions for behaviour can be made.