Dynamical criticality of magnetization transfer in integrable spin chains

Krajnik, Žiga (author), Schmidt, Johannes (author), Ilievski, Enej (author), Prosen, Tomaž (author)

Recent studies have found that fluctuations of magnetization transfer in integrable spin chains violate the central limit property. Here, we revisit the problem of anomalous counting statistics in the Landau-Lifshitz field theory by specializing to two distinct anomalous regimes featuring a dynamical critical point. By performing optimized numerical simulations using an integrable space-time discretization, we extract the algebraic growth exponents of time-dependent cumulants which attain their threshold values. The distinctly non-Gaussian statistics of magnetization transfer in the easy-axis regime is found to converge toward the universal distribution of charged single-file systems. At the isotropic point, we infer a weakly non-Gaussian distribution, corroborating the view that superdiffusive spin transport in integrable spin chains does not belong to any known dynamical universality class.

• Language: English
• Keywords: statistical mechanics
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication version: Author Accepted Manuscript
• Publication date: 03.01.2024
• Year: 2024
• Number of pages: Str. 017101-1-017101-7
• Numbering: Vol. 132, iss. 1
• PID: 20.500.12556/RUL-155534
• UDC: 536.9
• ISSN on article: 0031-9007
• DOI: 10.1103/PhysRevLett.132.017101
• COBISS.SI-ID: 191507715
• Publication date in RUL: 05.04.2024

KRAJNIK, Žiga, SCHMIDT, Johannes, ILIEVSKI, Enej and PROSEN, Tomaž, 2024, Dynamical criticality of magnetization transfer in integrable spin chains. Physical review letters [online]. 2024. Vol. 132, no. 1, p. 017101-1- 017101–7. [Accessed 24 April 2025]. DOI 10.1103/PhysRevLett.132.017101. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=155534

Record is a part of a journal

• Title: Physical review letters
• Shortened title: Phys. rev. lett.
• Publisher: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Secondary language

• Language: Slovenian
• Keywords: statistična mehanika