Berezinskii–Kosterlitz–Thouless Quantum Transition in Two Dimensions.
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| Title: | Berezinskii–Kosterlitz–Thouless Quantum Transition in Two Dimensions. |
|---|---|
| Authors: | Diamantini, M. Cristina1 (AUTHOR), Trugenberger, Carlo A.2,3 (AUTHOR) ca.trugenberger@bluewin.ch, Vinokur, Valerii M.3,4 (AUTHOR) |
| Source: | Materials (1996-1944). Mar2026, Vol. 19 Issue 5, p868. 11p. |
| Subjects: | Topological defects (Physics), Two-dimensional models, Vortex motion, Quantum phase transitions, Gauge field theory, Magnetic monopoles |
| Abstract: | The Berezinskii–Kosterlitz–Thouless (BKT) transition is the prototype of a phase transition driven by the formation and interaction of topological defects in two-dimensional (2D) systems. In typical models, these are vortices: above a transition temperature T BKT , vortices are free; below this transition temperature, they get confined. In this work, we extend the concept of BKT transition to quantum systems in two dimensions. In particular, we demonstrate that a zero-temperature quantum BKT phase transition driven by a coupling constant can occur in 2D models governed by an effective gauge field theory with a diverging dielectric constant. One particular example is that of a compact U(1) gauge theory with a diverging dielectric constant, where the quantum BKT transition is induced by non-relativistic, purely 2D magnetic monopoles, which can be viewed also as electric vortices. These quantum BKT transitions have the same diverging exponent z as the quantum Griffiths transition but are not related to disorder. [ABSTRACT FROM AUTHOR] |
| Copyright of Materials (1996-1944) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 192640140 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Berezinskii–Kosterlitz–Thouless Quantum Transition in Two Dimensions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Diamantini%2C+M%2E+Cristina%22">Diamantini, M. Cristina</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Trugenberger%2C+Carlo+A%2E%22">Trugenberger, Carlo A.</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> ca.trugenberger@bluewin.ch</i><br /><searchLink fieldCode="AR" term="%22Vinokur%2C+Valerii+M%2E%22">Vinokur, Valerii M.</searchLink><relatesTo>3,4</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Materials+%281996-1944%29%22">Materials (1996-1944)</searchLink>. Mar2026, Vol. 19 Issue 5, p868. 11p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Topological+defects+%28Physics%29%22">Topological defects (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Two-dimensional+models%22">Two-dimensional models</searchLink><br /><searchLink fieldCode="DE" term="%22Vortex+motion%22">Vortex motion</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+phase+transitions%22">Quantum phase transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Gauge+field+theory%22">Gauge field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetic+monopoles%22">Magnetic monopoles</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The Berezinskii–Kosterlitz–Thouless (BKT) transition is the prototype of a phase transition driven by the formation and interaction of topological defects in two-dimensional (2D) systems. In typical models, these are vortices: above a transition temperature T BKT , vortices are free; below this transition temperature, they get confined. In this work, we extend the concept of BKT transition to quantum systems in two dimensions. In particular, we demonstrate that a zero-temperature quantum BKT phase transition driven by a coupling constant can occur in 2D models governed by an effective gauge field theory with a diverging dielectric constant. One particular example is that of a compact U(1) gauge theory with a diverging dielectric constant, where the quantum BKT transition is induced by non-relativistic, purely 2D magnetic monopoles, which can be viewed also as electric vortices. These quantum BKT transitions have the same diverging exponent z as the quantum Griffiths transition but are not related to disorder. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Materials (1996-1944) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3390/ma19050868 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 868 Subjects: – SubjectFull: Topological defects (Physics) Type: general – SubjectFull: Two-dimensional models Type: general – SubjectFull: Vortex motion Type: general – SubjectFull: Quantum phase transitions Type: general – SubjectFull: Gauge field theory Type: general – SubjectFull: Magnetic monopoles Type: general Titles: – TitleFull: Berezinskii–Kosterlitz–Thouless Quantum Transition in Two Dimensions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Diamantini, M. Cristina – PersonEntity: Name: NameFull: Trugenberger, Carlo A. – PersonEntity: Name: NameFull: Vinokur, Valerii M. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19961944 Numbering: – Type: volume Value: 19 – Type: issue Value: 5 Titles: – TitleFull: Materials (1996-1944) Type: main |
| ResultId | 1 |
