# QUANTUM MAGNETISM AND SUPERCONDUCTIVITY - 2019/0

Module code: PHYM062

## Module Overview

This module is designed to provide an introduction to the theory and applications of quantum magnetism and superconductivity and their applications in modern science and technology. Both superconductivity and magnetism are manifestations of electronic charge and spin, and constitute prime examples of phase transitions in metals. A range of phenomena that is resulting from these phase transitions is surveyed. A significant part of the module is devoted to modern technological applications in magnetometry, spintronics, and quantum information processing. Finally advanced topics such as an introduction to quantum phase transitions and quantum information processing are discussed.

### Module provider

Physics

### Module Leader

GINOSSAR Eran (Physics)

### Number of Credits: 15

### ECTS Credits: 7.5

### Framework: FHEQ Level 7

### Module cap (Maximum number of students): N/A

## Overall student workload

Lecture Hours: 22

Tutorial Hours: 11

## Module Availability

Semester 2

## Prerequisites / Co-requisites

The module will assume prior knowledge equivalent to the following modules. You are required to take Advanced Quantum Physics (PHY3044) before you take this module. Also, if you have not taken the following modules you should consult the module descriptors - Quantum Physics (PHY2069). Solid State Physics (PHY2068) & From atoms to Lasers (PHY2062).

## Module content

__Superconductivity__

Historical overview of superconductivity

Electrodynamics and thermodynamics of superconductors

Introduction to second quantisation and BCS Theory

__Magnetism__

Diamagnetism, Quantum mechanical (Brillouin) theory of paramagnetism

Magnetic order: Exchange interactions, Ferromagnetism & Currie temperature, anti-ferromagnetism, magnetism in metal (Pauli paramagnetism and itinerant ferromagnetism), domains.

Spintronics: Giant magnetoresistance (GMR), tunnel magnetoresistance (TMR), semiconductor spintronics (spin transistor, spin injection, spin dynamics)

Advanced Magnetic ordering, Broken symmetry, phase transitions, Landau theory of ferromagnetism, spin waves, quantum computing with spins

__Special Topics__

Examples: High-Tc superconductivity, topological insulators/superconductors

## Assessment pattern

Assessment type | Unit of assessment | Weighting |
---|---|---|

Coursework | COURSEWORK ASSIGNMENT I (SUPERCONDUCTIVITY) | 15 |

Coursework | COURSEWORK ASSIGNMENT II (MAGNETISM) | 15 |

Examination | EXAM | 70 |

## Alternative Assessment

None.

## Assessment Strategy

__Assessment Strategy__

- analytical ability by solution of unseen problems in both coursework and exam

subject knowledge by recall of both “textbook” theory and important research articles in the exam

ability to generalize text-book theory by open-ended research component in the coursework

Thus, the

__summative assessment__for this module consists of:

a 1.5 hour exam with 2 sections: Section A - Superconductivity (10 mark questions, answer 2 out of 3 ) & Section B: Magnetism (10 mark questions, answer 2 out of 3), weighted at 70%

2 assignments on specials topics, which will take a total of 40 hours of effort, each weighted at 15% - total of 30%

__Formative assessment and feedback__

Students will receive verbal feedback on progress with problems in tutorials and model solutions to the tutorial questions.

## Module aims

- To provide an introduction to the important role that electronic interaction plays in solid-state physics leading to phase transitions in electronic systems. To provide a theoretical introduction to microscopic theory and phenomenology of both quantum magnetic phenomena and superconductivity. To provide Introduction to applications of solid state physics to metrology, micro-electronics and quantum information processing. To provide an introduction to the theory of quantum phase transitions.

## Learning outcomes

Attributes Developed | ||

001 | Describe the electromagnetic behaviour of Type I superconductors in electromagnetic fields, and the London equations | KC |

002 | Exhibit a good understanding understanding of how the microscopic theory (BCS) is derived and how its predictions relate to experimental observations | KC |

003 | Demonstrate an ability to perform simple analytical derivations with second quantized operators | CT |

004 | Apply the principles of exchange interactions to determine magnetic ordering in materials. | KC |

005 | Discuss how each type of ordered phase is associate with a broken symmetry and to solve problems related magnetic ordering. | KC |

006 | Evaluate spin diffusion and injection efficiencies in multi-layer systems. | KC |

007 | Solve quantum mechanical problems related to the operation of quantum gates. | KC |

Attributes Developed

**C** - Cognitive/analytical

**K** - Subject knowledge

**T** - Transferable skills

**P** - Professional/Practical skills

## Methods of Teaching / Learning

The __learning and teaching__ strategy is designed to provide:

a comprehensive theoretical treatment for the subject knowledge

practice in problem solving for the cognitive skills

The

__learning and teaching__methods include:

“chalk and talk” lectures backed up with guided study to stimulate uptake of subject knowledge (2 hour per week x 11)

tutorial demonstration of solutions to key problems after students have attempted them for formative feedback (1 hour per week x 11)

Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.

## Reading list

https://readinglists.surrey.ac.uk

Upon accessing the reading list, please search for the module using the module code: **PHYM062**

## Programmes this module appears in

Programme | Semester | Classification | Qualifying conditions |
---|---|---|---|

Physics MSc | 2 | Optional | A weighted aggregate mark of 50% is required to pass the module |

Physics MPhys | 2 | Optional | A weighted aggregate mark of 50% is required to pass the module |

Physics with Quantum Technologies MPhys | 2 | Compulsory | A weighted aggregate mark of 50% is required to pass the module |

Physics with Nuclear Astrophysics MPhys | 2 | Optional | A weighted aggregate mark of 50% is required to pass the module |

Physics with Astronomy MPhys | 2 | Optional | A weighted aggregate mark of 50% is required to pass the module |

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2019/0 academic year.