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Topological States in Condensed Matt...

Li, Yi.

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Topological States in Condensed Matter and Cold Atom Systems.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Topological States in Condensed Matter and Cold Atom Systems./
Author:	Li, Yi.
Description:	141 p.
Notes:	Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.
Contained By:	Dissertation Abstracts International74-10B(E).
Subject:	Low temperature physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3567981
ISBN:	9781303212086

Topological States in Condensed Matter and Cold Atom Systems.
Li, Yi.

Topological States in Condensed Matter and Cold Atom Systems. - 141 p.

Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.

Thesis (Ph.D.)--University of California, San Diego, 2013.

This item must not be sold to any third party vendors.

The study of topological states has become a major research focus of contemporary physics. This thesis consists of several investigations on novel states of matter with non-trivial topological properties in both condensed matter and ultra-cold atom systems.

ISBN: 9781303212086Subjects--Topical Terms:

3173917
Low temperature physics.

Topological States in Condensed Matter and Cold Atom Systems.
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020 $a 9781303212086
035 $a (MiAaPQ)AAI3567981
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100 1 $a Li, Yi. $3 911053
245 1 0 $a Topological States in Condensed Matter and Cold Atom Systems.
300 $a 141 p.
500 $a Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.
500 $a Advisers: Congjun Wu; Kenneth M. Intriligator.
502 $a Thesis (Ph.D.)--University of California, San Diego, 2013.
506 $a This item must not be sold to any third party vendors.
520 $a The study of topological states has become a major research focus of contemporary physics. This thesis consists of several investigations on novel states of matter with non-trivial topological properties in both condensed matter and ultra-cold atom systems.
520 $a We have systematically generalized Landau levels (LL) from the two dimensions (2D) to 3D and above for both non-relativistic and relativistic fermions. LLs with the full 3D rotation symmetry and flat energy spectra are constructed by coupling fermions to the SU(2) Aharanov-Casher potential. Fermion spins are coupled to orbital motions with a helicity structure, and time-reversal symmetry is maintained. The lowest LL wavefunctions exhibit the quaternionic analyticity as a generalization of the complex analyticity of the 2D cases. Each LL contributes one branch of gapless helical Dirac modes to the surface spectra. The elegant analytic properties together with the flat energy spectra are expected to facilitate future studies of high dimensional fractional topological states. LLs in the Landau-like gauge are also constructed in high dimensions, which exhibit spatial separations of 2D helical Dirac modes with opposite helicities or 3D Weyl modes with opposite chiralities. As a square root problem of the non-relativistic cases, LLs of Dirac electrons are constructed in 3D and above. The zeroth LL states are a branch of half-fermion Jackiw-Rebbi modes. We have also found parity breaking LL quantization in harmonic traps in the presence of strong spin-orbit(SO) couplings.
520 $a We have studied topological properties in fermion systems with magnetic dipolar interactions. Different from electric dipoles which are classic vectors, atomic magnetic dipoles are quantum-like. Magnetic dipolar interactions are isotropic under simultaneous SO rotations. This feature gives rise to a novel p-wave spin triplet pairing symmetry with the total angular momentum J = 1 of the Cooper pair. Such a state is fundamentally different from both 3He A and B-phases and exhibits Weyl type Bogoliubov excitations. In Fermi liquid theory, there exists a novel SO coupled zero-sound-like collective mode exhibiting non-trivial spin configurations over the Fermi surface.
590 $a School code: 0033.
650 4 $a Low temperature physics. $3 3173917
650 4 $a Condensed matter physics. $3 3173567
650 4 $a Atomic physics. $3 3173870
690 $a 0598
690 $a 0611
690 $a 0748
710 2 $a University of California, San Diego. $b Physics. $3 1035951
773 0 $t Dissertation Abstracts International $g 74-10B(E).
790 $a 0033
791 $a Ph.D.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3567981