자료유형  

 학위논문

Control Number  

0017162738

International Standard Book Number  

9798342105590

Dewey Decimal Classification Number  

500

Main Entry-Personal Name  

Li, Guangjie.

Publication, Distribution, etc. (Imprint  

[S.l.] : Purdue University., 2024

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2024

Physical Description  

167 p.

General Note  

Source: Dissertations Abstracts International, Volume: 86-04, Section: B.

General Note  

Advisor: Vayrynen, Jukka.

Dissertation Note  

Thesis (Ph.D.)--Purdue University, 2024.

Summary, Etc.  

요약A bath of free electrons interacting with a local quantum impurity leads to various exotic non-Fermi liquid behaviors, such as the non-integer effective ground state degeneracy of the impurity and the correction to the zero temperature conductance, which is temperature to the power of a fractional number. The former indicates emergent anyons, which are the key ingredients for achieving topological protected quantum computations. The latter can be used for experimentally probing non-Fermi liquid physics. It was recently proposed that a Coulomb blockaded M-Majorana island coupled to normal metal leads realizes a novel type of Kondo effect where the effective impurity "spin" transforms under the orthogonal group SO(M). Inspired by the multichannel generalization of the original Kondo model, we introduce a physically motivated N-channel generalization of this topological Kondo model whose impurity spin stems from the non-local topological ground state degeneracy of the island. This multichannel topological Kondo model supports Z3 parafermion and Fibonacci anyon (not supported by one-channel topological Kondo model) but may be limited to experiments because it is unstable to channel anisotropy. Therefore, we propose a Majorana-free meso- scopic setup which implements the Kondo effect of the symplectic Lie group and can harbor emergent anyons (including Majorana fermions, Fibonacci anyons, and Z3parafermions) even in the absence of perfect channel symmetry. Besides, I comment on the future work such as the strong tunneling case that is beyond the topological Kondo regime and the two-impurity Kondo physics.

Subject Added Entry-Topical Term  

Decomposition.

Subject Added Entry-Topical Term  

Phase transitions.

Subject Added Entry-Topical Term  

Anisotropy.

Subject Added Entry-Topical Term  

Algebra.

Subject Added Entry-Topical Term  

Energy.

Subject Added Entry-Topical Term  

Electrons.

Subject Added Entry-Topical Term  

Entropy.

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Lie groups.

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Symmetry.

Subject Added Entry-Topical Term  

Atomic physics.

Subject Added Entry-Topical Term  

Mathematics.

Added Entry-Corporate Name  

Purdue University.

Host Item Entry  

Dissertations Abstracts International. 86-04B.

Electronic Location and Access  

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Control Number  

joongbu:654205