Transport and optical
Properties of chiral quantum materials
Alexander G.
Abanov (PI) & Dmitri E. Kharzeev (co-PI), Stony Brook University
Chirality (or “handedness”) is a ubiquitous concept in modern
science, from particle physics to biology. In particle and nuclear physics, the
fundamental constituents of matter - quarks and leptons – possess a definite
chirality that is defined as a projection of spin on momentum. Chirality plays
a crucial role in fundamental interactions, with weak force discriminating
between the left- and right-handed particles. In nuclear physics, high energy
collisions produce collective states of strongly interacting chiral quarks.
Recently, the progress in fabricating new materials has resulted in the
discovery that a number of 3D materials possess emergent chiral quasiparticles
that behave similarly to quarks and leptons.
A development of an adequate theory of strongly correlated
systems of chiral fermions has thus become an urgent problem in both condensed
matter physics and nuclear theory. We propose to study these systems
using approaches developed in condensed-matter and nuclear physics and
combining them with more recent topological methods. The latter methods are
also known to describe the properties of materials robust with respect to the
interaction strength. Specifically, we propose to investigate how a non-trivial
topology is imprinted on hydrodynamic and kinetic equations through quantum
anomalies. The three directions of research are:
-
Magnetotransport in Dirac/Weyl semimetals
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Topology and hydrodynamics of strongly interacting condensed matter systems
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Modeling QCD effects in condensed matter physics
The proposed research explores broad interdisciplinary
connections between condensed matter physics and nuclear/particle physics. The
hydrodynamics and topology might hold the key to understanding many universal
dynamical properties of systems at vastly different scales, from femto-meter
(quarks and gluons of Quantum Chromo-Dynamics), to nano-meter (e.g., cold
atoms, quantum Hall effect, topological insulators and graphene), to parsec
(e.g., magnetic helicity and polarization of cosmic microwave background in
cosmology). The projects outlined in this proposal will lead to the improved
understanding of macroscopic phenomena induced by the quantum anomalies and can
result in the discovery of new quantum effects; they can also result in
practical applications beyond the academic domain.