عنوان

Theory of Magnetotransport in the Dirac and Weyl Semimetals

شماره

TL54737

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

عنوان اصلي

Theory of Magnetotransport in the Dirac and Weyl Semimetals

نام عام مواد

[Thesis]

نام نخستين پديدآور

Imran, Muhammad

نام ساير پديدآوران

Hershfield, Selman

نام ناشر، پخش کننده و غيره

University of Florida

تاریخ نشرو بخش و غیره

2020

متن يادداشت

98 p.

جزئيات پايان نامه و نوع درجه آن

Ph.D.

کسي که مدرک را اعطا کرده

University of Florida

امتياز متن

2020

متن يادداشت

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.

اصطلاح موضوعی

Condensed matter physics

اصطلاح موضوعی

Materials science

اصطلاح موضوعی

Physics

اصطلاح موضوعی

Topology

مستند نام اشخاص تاييد نشده

Imran, Muhammad

مستند نام اشخاص تاييد نشده

Hershfield, Selman

مستند نام تنالگان تاييد نشده

University of Florida

نام الکترونيکي

فرمت انتشار

p

نوع ماده

[Thesis]

کد کاربرگه

276903

سطح دسترسي

a

تكميل شده

Y