Nonlinear breathers with crystalline symmetries

Add to your list(s) Download to your calendar using vCal

• Frank Schindler, Imperial College London
• Thursday 02 November 2023, 14:00-15:00
• TCM Seminar Room.

If you have a question about this talk, please contact Gaurav.

Nonlinear lattice models can support ``discrete breather’’ excitations that stay localized in space for all time. By contrast, the localized Wannier states of linear lattice models are dynamically unstable. Nevertheless, symmetric and exponentially localized Wannier states are a central tool in the classification of band structures with crystalline symmetries. Moreover, the quantized transport observed in nonlinear Thouless pumps relies on the fact that—at least in a specific model—discrete breathers recover Wannier states in the limit of vanishing nonlinearity. In my talk, I will explain a simple formalism to analytically predict the nonlinear breather spectrum, center of mass and symmetry representations, and apply this to nonlinear generalizations of the Su-Schrieffer-Heeger chain and the breathing kagome lattice.

This talk is part of the Theory of Condensed Matter series.

This talk is included in these lists:

• All Cavendish Laboratory Seminars
• All Talks (aka the CURE list)
• Centre for Health Leadership and Enterprise
• Combined TCM Seminars and TCM blackboard seminar listing
• Featured lists
• Lennard-Jones Centre external
• ME Seminar
• Neurons, Fake News, DNA and your iPhone: The Mathematics of Information
• PMRFPS's
• School of Physical Sciences
• TCM Seminar Room
• Theory of Condensed Matter
• Thin Film Magnetic Talks
• few29

Note that ex-directory lists are not shown.