Emergent States of Quantum Matter

mckenzie

Prof. Ross McKenzie, The University of Queensland

When a system is composed of many interacting components new properties can emerge that are qualitatively different from the properties of the individual components. Emergence can be particularly striking and challenging to understand for quantum matter, which is composed of macroscopic numbers of particles that obey quantum statistics, such as electrons. Important examples of emergent states of quantum matter include superfluidity, superconductivity, and the fractional quantum Hall effect.

I will introduce some of the organising principles for describing such phenomena: quasi-particles, spontaneously broken symmetry, and effective Hamiltonians. I will briefly describe how these ideas undergird some of my own theoretical research on complex molecular materials such as superconducting organic charge transfer salts, fluorescent proteins, and hydrogen bonded complexes. The interplay of emergence and reductionism raises issues in philosophy and as to the best scientific strategy for describing complex systems.