Conical Intersections in Physics

An Introduction to Synthetic Gauge Theories

  • Jonas Larson
  • Erik Sjöqvist
  • Patrik Öhberg

Part of the Lecture Notes in Physics book series (LNP, volume 965)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jonas Larson, Erik Sjöqvist, Patrik Öhberg
    Pages 1-4
  3. Jonas Larson, Erik Sjöqvist, Patrik Öhberg
    Pages 5-32
  4. Jonas Larson, Erik Sjöqvist, Patrik Öhberg
    Pages 33-53
  5. Jonas Larson, Erik Sjöqvist, Patrik Öhberg
    Pages 55-91
  6. Jonas Larson, Erik Sjöqvist, Patrik Öhberg
    Pages 93-125
  7. Jonas Larson, Erik Sjöqvist, Patrik Öhberg
    Pages 127-147
  8. Back Matter
    Pages 149-160

About this book


This concise book introduces and discusses the basic theory of conical intersections with applications in atomic, molecular and condensed matter physics.

Conical intersections are linked to the energy of quantum systems. They can occur in any physical system characterized by both slow and fast degrees of freedom - such as e.g. the fast electrons and slow nuclei of a vibrating and rotating molecule - and are important when studying the evolution of quantum systems controlled by classical parameters. Furthermore, they play a relevant role for understanding the topological properties of condensed matter systems.

Conical intersections are associated with many interesting features, such as a breakdown of the Born-Oppenheimer approximation and the appearance of nontrivial artificial gauge structures, similar to the Aharonov-Bohm effect.

Some applications presented in this book include

- Molecular Systems: some molecules in nonlinear nuclear configurations undergo Jahn-Teller distortions under which the molecule lower their symmetry if the electronic states belong to a degenerate irreducible representation of the molecular point group.

- Solid State Physics: different types of Berry phases associated with conical intersections can be used to detect topologically nontrivial states of matter, such as topological insulators, Weyl semi-metals, as well as Majorana fermions in superconductors.

- Cold Atoms: the motion of cold atoms in slowly varying inhomogeneous laser fields is governed by artificial gauge fields that arise when averaging over the fast internal degrees of freedom of the atoms. These gauge fields can be Abelian or non-Abelian, which opens up the possibility to create analogs to various relativistic effects at low speed.


Berry phase Born-Oppenheimer approximation Jahn-Teller distortions Adiabatic theorem Dirac cones Aharonov-Bohm effect Artificial gauge fields

Authors and affiliations

  • Jonas Larson
    • 1
  • Erik Sjöqvist
    • 2
  • Patrik Öhberg
    • 3
  1. 1.Department of PhysicsStockholm UniversityStockholmSweden
  2. 2.Department of Physics and AstronomyUppsala UniversityUppsalaSweden
  3. 3.IPaQS/EPSHeriot-Watt UniversityEdinburghUK

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-030-34881-6
  • Online ISBN 978-3-030-34882-3
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site