najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2026-17-3-311-316najo-1838Research ArticlePHYSICSФИЗИКАA variational study of electronic thermal conductivity of Anderson lattice model: an application to CMR manganites (Re1-xAxMnO3)Вариационное исследование электронной теплопроводности модели решетки Андерсона: применение к манганитам с конфигурацией CMR (Re1-xAxMnO3)https://orcid.org/0009-0007-2442-4093СаиниР.SainiR.

Рахул Саини

Rahul Saini – Department of Applied Science, Faculty of Engineering and Technology.

Haridwar-249404, Uttarakhand

rahulsaini441999@gmail.comhttps://orcid.org/0000-0003-1293-7477ПанварС.PanwarS.

Сунил Панвар

Dr. Sunil Panwar – Associate Professor, Physics, Department of Applied Science, Faculty of Engineering and Technology.

Haridwar-249404, Uttarakhand

dr.sunilpanwar66@gmail.comGurukula Kangri (Deemed to be University)India202618072026173311316Copyright © Saini R., Panwar S., 20262026Саини Р., Панвар С.Saini R., Panwar S.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1838

Using the variational method, we have investigated the temperature dependence of the electronic thermal conductivity (kel) in rare-earth manganites doped with alkaline-earth ions, which display the well-known CMR behavior. The analysis is based on a two-band (l − b) Anderson lattice model Hamiltonian appropriate for the strong electron-lattice Jahn–Teller (JT ) coupling regime, consistent with two-fluid descriptions incorporating (l −b) hybridization. Key model parameters includes Coulomb repulsion U , strong Hund’s coupling JH between eg and t2g spins and hybridization V between l-polarons and d-electrons of the same spin. In the ferromagnetic metallic phase, calculations show that the kel increases with increasing temperature and near the transition temperature Tc ≈ 400 K, it shows a minimum or a dip in kel for a fixed value of V , JH and x. The results of kel exhibit a typical crystalline character with grain boundary scattering as a main mechanism limiting the heat transfer in these compounds.

Используя вариационный метод, мы исследовали температурную зависимость электронной теплопроводности (КЭ) в редкоземельных манганитах, легированных ионами щелочноземельных металлов, которые демонстрируют хорошо известное поведение КМР (кандидомагнитного магнитосопротивления). Анализ основан на двухзонном (Ɩ-b) гамильтониане модели решетки Андерсона, подходящем для режима сильной электронно-решеточной связи Яна-Теллера (ЯТ), согласующемся с двухжидкостными описаниями, включающими (l-b) гибридизацию. Ключевые параметры модели включают кулоновское отталкивание «U», сильную связь Хунда «JH» между спинами eg и t2g и гибридизацию «V» между l-поляронами и d-электронами одного и того же спина. В ферромагнитной металлической фазе расчеты показывают, что КЭ увеличивается с повышением температуры, а вблизи температуры перехода Tc ≈ 400 К наблюдается минимум или провал КЭ при фиксированных значениях «V», «JH» и «x». Результаты, полученные для келина, демонстрируют типичный кристаллический характер, при этом рассеяние на границах зерен является основным механизмом, ограничивающим теплопередачу в этих соединениях.

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The authors declare that there are no conflicts of interest present.