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Title: Theoretical Studies on Magnetic Structures, Hysteresis Loops and Size Effects of a Pair of Frustrated Double-Walled Nanotubes

Abstract

We propose a theoretical quantum model and derive a set of analytic formulas to study the physical properties of a pair of double-walled magnetic nanotubes. The Heisenberg exchange parameters between the two walls of the nanotubes are assumed to differ only in sign. Thus, in the absence of external magnetic field, our calculated macroscopic properties of this pair of nanotubes are almost precisely identical, exhibiting fascinating duality of the nanosystems and demonstrating the correctness of our theoretical model. The two spin systems are all frustrated, so that sudden changes in the macroscopic properties are observed around T{sub M2} that is well below the transition temperature T{sub M1}. However, only the inner shell consisting of smaller A-type spins has been obviously affected. In the temperature range T{sub M2} < T < T{sub M1}, this shell becomes semi-antiferromagnetic and its magnetization is considerably suppressed, whereas as temperature falls below T{sub M2} the shell gradually restores its ferromagnetic nature. The longitudinal hysteresis behavior of such a double-waled nanotube is ferromagnetic-like below T{sub M2}, but antiferromagnetic-like in the temperature interval T{sub M2} < T < T{sub M1}. Moreover, we find that the diameter of the nanotube has seemly no effects on its physical properties,more » whereas its length does affects the two temperatures slightly, and also its spin configuration at very low temperatures if the tube is sufficiently long. More importantly, the theoretical results presented in this paper can be precisely reproduced with the quantum computational method we develop in recent years, justifying the validity of the numerical approach once again.« less

Authors:
 [1];  [2]
  1. Nanjing University of Information Science and Technology, Department of Applied Physics (China)
  2. University of Macau, Institute of Applied Physics and Materials Engineering (China)
Publication Date:
OSTI Identifier:
22773902
Resource Type:
Journal Article
Journal Name:
Journal of Superconductivity and Novel Magnetism
Additional Journal Information:
Journal Volume: 31; Journal Issue: 8; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1557-1939
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANALYTIC FUNCTIONS; ANTIFERROMAGNETISM; HEISENBERG MODEL; HYSTERESIS; MAGNETIC FIELDS; MAGNETIZATION; NANOTUBES; QUANTUM MECHANICS; SPIN; TEMPERATURE RANGE 0013-0065 K; TRANSITION TEMPERATURE; WALLS

Citation Formats

Liu, Zhaosen, and Ian, Hou. Theoretical Studies on Magnetic Structures, Hysteresis Loops and Size Effects of a Pair of Frustrated Double-Walled Nanotubes. United States: N. p., 2018. Web. doi:10.1007/S10948-017-4476-8.
Liu, Zhaosen, & Ian, Hou. Theoretical Studies on Magnetic Structures, Hysteresis Loops and Size Effects of a Pair of Frustrated Double-Walled Nanotubes. United States. doi:10.1007/S10948-017-4476-8.
Liu, Zhaosen, and Ian, Hou. Wed . "Theoretical Studies on Magnetic Structures, Hysteresis Loops and Size Effects of a Pair of Frustrated Double-Walled Nanotubes". United States. doi:10.1007/S10948-017-4476-8.
@article{osti_22773902,
title = {Theoretical Studies on Magnetic Structures, Hysteresis Loops and Size Effects of a Pair of Frustrated Double-Walled Nanotubes},
author = {Liu, Zhaosen and Ian, Hou},
abstractNote = {We propose a theoretical quantum model and derive a set of analytic formulas to study the physical properties of a pair of double-walled magnetic nanotubes. The Heisenberg exchange parameters between the two walls of the nanotubes are assumed to differ only in sign. Thus, in the absence of external magnetic field, our calculated macroscopic properties of this pair of nanotubes are almost precisely identical, exhibiting fascinating duality of the nanosystems and demonstrating the correctness of our theoretical model. The two spin systems are all frustrated, so that sudden changes in the macroscopic properties are observed around T{sub M2} that is well below the transition temperature T{sub M1}. However, only the inner shell consisting of smaller A-type spins has been obviously affected. In the temperature range T{sub M2} < T < T{sub M1}, this shell becomes semi-antiferromagnetic and its magnetization is considerably suppressed, whereas as temperature falls below T{sub M2} the shell gradually restores its ferromagnetic nature. The longitudinal hysteresis behavior of such a double-waled nanotube is ferromagnetic-like below T{sub M2}, but antiferromagnetic-like in the temperature interval T{sub M2} < T < T{sub M1}. Moreover, we find that the diameter of the nanotube has seemly no effects on its physical properties, whereas its length does affects the two temperatures slightly, and also its spin configuration at very low temperatures if the tube is sufficiently long. More importantly, the theoretical results presented in this paper can be precisely reproduced with the quantum computational method we develop in recent years, justifying the validity of the numerical approach once again.},
doi = {10.1007/S10948-017-4476-8},
journal = {Journal of Superconductivity and Novel Magnetism},
issn = {1557-1939},
number = 8,
volume = 31,
place = {United States},
year = {2018},
month = {8}
}