Type
Text
Type
Dissertation
Advisor
Zahed, Ismael | Abanov, Alexander G | Du, Xu | Kharzeev, Dmitri E | Tsvelik, Alexei | .
Date
2016-12-01
Keywords
Condensed matter physics -- Theoretical physics | Chiral systems, Hydrodynamics, Kinetic theory, Quantum anomalies
Department
Department of Physics
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/76648
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
The experimental realization of Dirac and Weyl semimetals in 2014 and 2015 respectively has increased the interest in the topic. Similarly to graphene, the discovered materials are characterized by massless quasiparticles. In three dimensions these quasiparticles can be described by the Weyl Hamiltonian which exhibits so-called chiral anomaly at low energies. The chiral anomaly has a transport signature, namely, the enhancement of longitudinal conductivity along the direction of external magnetic field. This effect in new materials is the condensed matter version of the chiral magnetic effect (CME) predicted to happen in heavy ion collisions. Due to its topological nature the chiral anomaly it is believed to be robust with respect to the interaction strength and anomalous contribution to transport is believed to be universal and independent of the interaction. This thesis is devoted to the study of magnetotransport in Dirac and Weyl metals. For that, we use the chiral kinetic theory to describe within the same framework both the negative magnetoresistance caused by chiral magnetic effect and quantum oscillations in the magnetoresistance due to the existence of the Fermi surface. In the second part, we refer to the hydrodynamics with gauge anomaly and study the non-dissipative transport using variational principle as a main tool. In the last part of the Thesis we also apply variational approach to study the Hall viscosity in two-dimensional systems. | 89 pages
Recommended Citation
Machado Monteiro, Gustavo, "Anomalous Transport in Chiral Systems" (2016). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 2535.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/2535