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Collective Excitations of Magnetized Quantum Wires and Spin Chains with Spin-Orbital Interactions.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Collective Excitations of Magnetized Quantum Wires and Spin Chains with Spin-Orbital Interactions./
Author:	Wang, Ren-Bo.
Description:	1 online resource (136 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 84-08, Section: B.
Contained By:	Dissertations Abstracts International84-08B.
Subject:	Condensed matter physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=29323424click for full text (PQDT)
ISBN:	9798371977915

Collective Excitations of Magnetized Quantum Wires and Spin Chains with Spin-Orbital Interactions.
Wang, Ren-Bo.

Collective Excitations of Magnetized Quantum Wires and Spin Chains with Spin-Orbital Interactions. - 1 online resource (136 pages)

Source: Dissertations Abstracts International, Volume: 84-08, Section: B.

Thesis (Ph.D.)--The University of Utah, 2022.

Includes bibliographical references

Quasi-one-dimensional (Quasi-1d) materials and physical models describing them have long attracted the interest of researchers due to the numerous intriguing physical properties that these systems possess. 1d geometry strongly enhances quantum fluctuations which, in the case of magnetic insulators, promote unusual spin liquid phases of magnetic matter. In this dissertation, I discuss low-energy excitations of interacting 1d systems with spin-orbital couplings such as quantum wires and spin chains in the presence of an external magnetic field.First, I describe how Majorana states could appear at the ends of a quantum wire with Rashba spin-orbit interactions. This problem is analyzed by the bosonization technique under closed (periodic/anti-periodic) and open boundary conditions. Second, a large fraction of this dissertation is devoted to the behaviors of spinons in an antiferromagnetic Heisenberg spin-1/2 chain with uniform Dzyaloshinskii-Moriya interactions that originate from spin-orbit couplings. In this case, I analyze the problem via two different approaches, the fermion path integral and the hydrodynamic method, to obtain spin susceptibilities. It turns out that the results from these two analytical approaches coincide exactly and agree very well with both experiments and density matrix renormalization group simulations.In both 1d systems, interactions among the fundamental constituents play crucial roles in describing the physical properties of the excitations.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9798371977915Subjects--Topical Terms:

3173567
Condensed matter physics.
Subjects--Index Terms:

Majorana fermionsIndex Terms--Genre/Form:

542853
Electronic books.

Collective Excitations of Magnetized Quantum Wires and Spin Chains with Spin-Orbital Interactions.
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500 $a Source: Dissertations Abstracts International, Volume: 84-08, Section: B.
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502 $a Thesis (Ph.D.)--The University of Utah, 2022.
504 $a Includes bibliographical references
520 $a Quasi-one-dimensional (Quasi-1d) materials and physical models describing them have long attracted the interest of researchers due to the numerous intriguing physical properties that these systems possess. 1d geometry strongly enhances quantum fluctuations which, in the case of magnetic insulators, promote unusual spin liquid phases of magnetic matter. In this dissertation, I discuss low-energy excitations of interacting 1d systems with spin-orbital couplings such as quantum wires and spin chains in the presence of an external magnetic field.First, I describe how Majorana states could appear at the ends of a quantum wire with Rashba spin-orbit interactions. This problem is analyzed by the bosonization technique under closed (periodic/anti-periodic) and open boundary conditions. Second, a large fraction of this dissertation is devoted to the behaviors of spinons in an antiferromagnetic Heisenberg spin-1/2 chain with uniform Dzyaloshinskii-Moriya interactions that originate from spin-orbit couplings. In this case, I analyze the problem via two different approaches, the fermion path integral and the hydrodynamic method, to obtain spin susceptibilities. It turns out that the results from these two analytical approaches coincide exactly and agree very well with both experiments and density matrix renormalization group simulations.In both 1d systems, interactions among the fundamental constituents play crucial roles in describing the physical properties of the excitations.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2023
538 $a Mode of access: World Wide Web
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773 0 $t Dissertations Abstracts International $g 84-08B.
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