Critical properties of quantum melting phase transitions

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Author: Beekman, Aron

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Publication date: 2020

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Note (General)：: type:textここ数年で実験室には2次元 4 Heの量子液晶相の実在可能性が提案されている。実験と比べる為に量子固体・液晶臨界点の有効場の理論を使ってくりこみ群(functional renormalization group)理論計算を行った。その結果荷電固定点を発見したので量子固体・液晶臨界...

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科研費研究者番号 : 90632985

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Material Type: 文書・図像類
Title: Critical properties of quantum melting phase transitions
Author/Editor: Beekman, Aron
Author Heading: Beekman, Aron
Publication Date: 2020
Publication Date (W3CDTF): 2020
Periodical title: 科学研究費補助金研究成果報告書
Text Language Code: eng
jpn
Subject Heading: quantum phase transition,quantum melting,liquid crystals,symmetry breaking,renormalization group
Target Audience: 一般
Note (General): type:text
ここ数年で実験室には2次元 4 Heの量子液晶相の実在可能性が提案されている。実験と比べる為に量子固体・液晶臨界点の有効場の理論を使ってくりこみ群(functional renormalization group)理論計算を行った。その結果荷電固定点を発見したので量子固体・液晶臨界点は二次相転移が決定した。 Laboratory experiments can deposit helium atoms on graphite substrates with extreme control, and are able to form perfect layers with controllable density, in the low-temperature, quantum regime. These experiments show there may exist a state of planar matter between a solid and a liquid, akin to a liquid crystal. The latter is characterized by preferred directions unlike a featureless liquid. As determining the nature of this state directly is difficult, one may instead obtain information about the transition from the solid to the potentially new, liquid-crystalline state. To compare with future experimental results, we have studied this quantum phase transition with theoretical methods. In particular, using a duality mapping where lattice vibrations (phonons) are represented as forces (gauge fields), we used the functional renormalization group to determine that this transition should be continuous (second-order). Many avenues for future study have been identified.
研究種目 : 若手研究研究期間 : 2018～2020 課題番号 : 18K13502 研究分野 : Physics
Source: https://koara.lib.keio.ac.jp/xoonips/modules/xoonips/download.php?koara_id=KAKEN_18K13502seika
https://koara.lib.keio.ac.jp/xoonips/modules/xoonips/download.php?koara_id=KAKEN_18K13502seika
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Related Material: 科研費研究者番号 : 90632985
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Original Data Provider (Database): 慶應義塾大学 : 慶應義塾大学学術情報リポジトリ