عنوان

Theory of Magnetotransport in the Dirac and Weyl Semimetals

Number

TLpq2468393989

.Language of Text, Soundtrack etc

انگلیسی

Title Proper

Theory of Magnetotransport in the Dirac and Weyl Semimetals

General Material Designation

[Thesis]

First Statement of Responsibility

Imran, Muhammad

Subsequent Statement of Responsibility

Hershfield, Selman

Name of Publisher, Distributor, etc.

University of Florida

Date of Publication, Distribution, etc.

2020

Specific Material Designation and Extent of Item

98

Dissertation or thesis details and type of degree

Ph.D.

Body granting the degree

University of Florida

Text preceding or following the note

2020

Text of Note

The electron transport is a very active area of research in physics. In this thesis we study the magnetotransport of the Dirac and Weyl semimetals, theoretically. We find their dependence on external magnetic field. These materials are exotic, and exhibit unusual magnetic field dependence on their magnetotransport properties. The most prominent effect is the chiral anomaly effect. This is a Berry curvature effect. According to this effect the magneoconductivity increases in the direction of magnetic field. At first chiral anomaly was observed in Weyl semimetals, TaAs. Now there are plenty of materials that exhibit chiral anomaly characteristics. We study these semimetals magnetotransport properties both from the semiclassical and quantum perspective. For the semicalssical theory, we develop an equation of motion theory for the Dirac and Weyl semimetals by using the Wigners method. Later we solve the distribution function to calculate formulas of magnetotransport. We limit ourself to the linear response of the electric field. The derived formulas are matched with the experimental results. This includes the chiral anomaly effect. For the quantum theory, we use the Kubo formalism. This is a linear response theory. We derive the magnetotransport properties in a strong magnetic field. The formulas of magnetotransport show quantization effect. This is consistent with the Shubnikov De has oscillations in the magneto transport properties. The low energy Dirac and Weyl semimetals are allowed to have asymmetric energy dispersion. This is interesting that this asymmetry in energy dispersion allows a type of Hall effect, Planar Hall effect. We derive the formula of the Planar Hall effect. The oscillations in the Planar Hall effect can become a fingerprint to detect the anomalous transport in the Dirac and Weyl semimetals. The Planar Hall effect is also observed in the Dirac and Weyl semimetals, experimentally.

Condensed matter physics

Materials science

Physics

Topology

Hershfield, Selman

Imran, Muhammad

Electronic name

p

[Thesis]

276903

a

Y