Spin models of quasi-1D quantum ferrimagnets with competing interactions

We present a brief survey of the recent theoretical work related to generic Heisenberg spin models describing quasi-one-dimensional quantum ferrimagnets. The emphasis is on quantum chains and ladders with strong competing interactions, such as the frustrated J₁ - J₂ chain with alternating (1, 1/2)...

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Видавець:Інститут фізики конденсованих систем НАН України
Дата:2009
Автор: Ivanov, N.B.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики конденсованих систем НАН України 2009
Назва видання:Condensed Matter Physics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/120016
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Цитувати:Spin models of quasi-1D quantum ferrimagnets with competing interactions / N.B. Ivanov // Condensed Matter Physics. — 2009. — Т. 12, № 3. — С. 435-447. — Бібліогр.: 88 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1200162017-06-11T03:05:20Z Spin models of quasi-1D quantum ferrimagnets with competing interactions Ivanov, N.B. We present a brief survey of the recent theoretical work related to generic Heisenberg spin models describing quasi-one-dimensional quantum ferrimagnets. The emphasis is on quantum chains and ladders with strong competing interactions, such as the frustrated J₁ - J₂ chain with alternating (1, 1/2) spins, the spin-1/2 diamond chain with four-spin cyclic couplings, and some generic types of mixed-spin ladders with geometric frustration. As a rule, the discussed models exhibit rich quantum phase diagrams and provide some interesting examples of one-dimensional magnetic-paramagnetic quantum phase transitions. A number of open problems in the reviewed research area are discussed. Ми представляємо короткий огляд недавньої теоретичної роботи, пов’язаної з загальними спiновими моделями Гайзенберга, що описують квазiодновимiрнi квантовi ферiмагнетики. Наголос зроблено на квантових ланцюжках i драбинках з сильною конкуренцiєю взаємодiй, таких, як фрустрований J₁ - J₂ ланцюжок зi змiнними (1, 1/2) спiнами, спiн-1/2 ромбiчний ланцюжок з чотириспiновими циклiчними взаємодiями i деякi загальнi типи драбинок з геометричними фрустрацiями з рiзними значеннями спiна. Як правило, обговорюванi моделi виявляють багатi квантовi фазовi дiаграми i становлять цiкавi приклади одновимiрних квантових фазових переходiв магнетик – парамагнетик. Оговорюються деякi вiдкриттi проблеми у цiй областi дослiджень. 2009 Article Spin models of quasi-1D quantum ferrimagnets with competing interactions / N.B. Ivanov // Condensed Matter Physics. — 2009. — Т. 12, № 3. — С. 435-447. — Бібліогр.: 88 назв. — англ. 1607-324X PACS: 75.10.Jm, 75.10Pq, 75.45.+j DOI:10.5488/CMP.12.3.435 http://dspace.nbuv.gov.ua/handle/123456789/120016 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description We present a brief survey of the recent theoretical work related to generic Heisenberg spin models describing quasi-one-dimensional quantum ferrimagnets. The emphasis is on quantum chains and ladders with strong competing interactions, such as the frustrated J₁ - J₂ chain with alternating (1, 1/2) spins, the spin-1/2 diamond chain with four-spin cyclic couplings, and some generic types of mixed-spin ladders with geometric frustration. As a rule, the discussed models exhibit rich quantum phase diagrams and provide some interesting examples of one-dimensional magnetic-paramagnetic quantum phase transitions. A number of open problems in the reviewed research area are discussed.
format Article
author Ivanov, N.B.
spellingShingle Ivanov, N.B.
Spin models of quasi-1D quantum ferrimagnets with competing interactions
Condensed Matter Physics
author_facet Ivanov, N.B.
author_sort Ivanov, N.B.
title Spin models of quasi-1D quantum ferrimagnets with competing interactions
title_short Spin models of quasi-1D quantum ferrimagnets with competing interactions
title_full Spin models of quasi-1D quantum ferrimagnets with competing interactions
title_fullStr Spin models of quasi-1D quantum ferrimagnets with competing interactions
title_full_unstemmed Spin models of quasi-1D quantum ferrimagnets with competing interactions
title_sort spin models of quasi-1d quantum ferrimagnets with competing interactions
publisher Інститут фізики конденсованих систем НАН України
publishDate 2009
url http://dspace.nbuv.gov.ua/handle/123456789/120016
citation_txt Spin models of quasi-1D quantum ferrimagnets with competing interactions / N.B. Ivanov // Condensed Matter Physics. — 2009. — Т. 12, № 3. — С. 435-447. — Бібліогр.: 88 назв. — англ.
series Condensed Matter Physics
work_keys_str_mv AT ivanovnb spinmodelsofquasi1dquantumferrimagnetswithcompetinginteractions
first_indexed 2023-10-18T20:36:01Z
last_indexed 2023-10-18T20:36:01Z
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