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SUMMARY:Criticality of structurally-disordered spin systems with weak long
 -range interactions
DTSTART;VALUE=DATE-TIME:20260922T085000Z
DTEND;VALUE=DATE-TIME:20260922T091000Z
DTSTAMP;VALUE=DATE-TIME:20260914T013606Z
UID:indico-contribution-527@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Maxym Dudka (Yukhnovskii Institute of Condensed Matt
 er Physics\, National Academy of Sciences of Ukraine\, 79011 Lviv\, Ukrain
 e\;	${\\mathbb L}^4$ Collaboration \\& Doctoral College for the Statistica
 l Physics of Complex Systems\, Leipzig-Lorraine-Lviv-Coventry\, Europe\;	L
 viv Polytechnic National University 79013 Lviv\, Ukraine)\nStudies of low-
 temperature ordering in long-range interacting many-particle systems conti
 nue to attract significant interest. While such systems are common in natu
 re\, some features of their critical behavior remain unexplained. We addre
 ss the combined impact of weak structural disorder  and weak long-range in
 teractions  decaying in $d$-dimensional space as $x^{-d-\\sigma}$ with $\\
 sigma > 0$ on the critical behavior of classical  model with $n$-component
  spins.  Whithin specific regions of the parameter space $(n\, d\, \\sigma
 )$\, this model exibits a distinct disorder-induced long-range universalit
 y class. To characterize this universality class we calculate the marginal
  dimensions [1] and scaling  exponents [2\,3] governing the system's criti
 cality within the three-loop approximation of field-theoretical renormaliz
 ation group approach. Furthermore\, we present refined estimates of these 
 universal quantities by applying resummation techniques to the divergent p
 erturbation series.\n\nM.D. and D.S. acknowledge  support of the U. S. Dep
 artment of Energy (DOE)\, Office of Science\, Basic Energy Sciences\, Mate
 rials Science and Engineering Division\, under Award No. DE–SC0013599\n\
 n[1] D. Shapoval\, M. Dudka\, Yu. Holovatch\, *Low Temp. Phys.* $\\textbf{
 48}$ (2022) 1049.\n[2]  M. Dudka\, D. Shapoval\, Yu. Holovatch\, *Journal 
 of Physical Studies* $\\textbf{28}$ (2024) 2601.\n[3] D. Shapoval\, M. Dud
 ka\, *Condens. Matter Phys.* $\\textbf{28}$ (2025) 43503.\n\nhttps://indic
 o.bitp.kiev.ua/event/18/contributions/527/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/527/
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