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Particle-hole symmetries in condensed matter

Date
Jan 20, 2025
Time
4:30 PM - 5:30 PM
Speaker
Prof. Martin Zirnbauer
Affiliation
University of Cologne
Series
MPI-PKS Kolloquium
Language
en
Main Topic
Physik
Other Topics
Physik
Description
Non-relativistic condensed matter breaks the charge conjugation symmetry, C, of relativistic quantum fields. Nonetheless, for half-filled bands a close analog may emerge, namely particle-hole symmetry, K. The two symmetry operations C and K are similar in that they transform any excitation of energy E and charge Q to another excitation with the same energy E but the opposite charge -Q; they differ in that charge conjugation is a unitary operation, whereas particle-hole symmetries are anti-unitary. After reviewing the notion of symmetries in quantum mechanics and some background material from many-body theory, this colloquium talk highlights a few examples of particle-hole symmetries in condensed matter, foremost the spectacular case of the half-filled lowest Landau level.

Last modified: Jan 20, 2025, 7:38:05 AM

Location

Max-Planck-Institut für Physik komplexer SystemeNöthnitzer Straße3801187Dresden
Phone
+ 49 (0)351 871 0
E-Mail
MPI-PKS
Homepage
http://www.mpipks-dresden.mpg.de

Organizer

Max-Planck-Institut für Physik komplexer SystemeNöthnitzer Straße3801187Dresden
Phone
+ 49 (0)351 871 0
E-Mail
MPI-PKS
Homepage
http://www.mpipks-dresden.mpg.de
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