Berezinskii–Kosterlitz–Thouless Quantum Transition in Two Dimensions.
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| Title: | Berezinskii–Kosterlitz–Thouless Quantum Transition in Two Dimensions. |
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| 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] |
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| Database: | Engineering Source |
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| 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] |
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| ISSN: | 19961944 |
| DOI: | 10.3390/ma19050868 |
