title: ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐµÐ¹ ÑÑÑÐ¾ÐµÐ½Ð¸Ñ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ¿ÐµÐºÑÑÐ° ÐÐ¢Ð¡Ð-ÑÐ¾ÐµÐ´Ð¸Ð½ÐµÐ½Ð¸Ð¹ Ð½Ð° Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÐºÐ¸Ð½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Modeling the influence of features of the energy spectrum structure in HTSC materials on the behavior of transport coefficients
Creators: name: ÐÐºÐ°ÑÐµÐ²Ð¸Ñ, ÐÐ°Ð²ÐµÐ»
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: ÐºÐ¸Ð½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ðµ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÑ
YBa2Cu3Oy
ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ¿ÐµÐºÑÑ
Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐ·ÐºÐ¾Ð¹ Ð·Ð¾Ð½Ñ
transport coefficients
energy spectrum
narrow band model

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ·ÐºÐ¾Ð¹ Ð·Ð¾Ð½, Ð°Ð½Ð°Ð»Ð¸Ð·Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½ÑÑ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐµÐ¹ ÐºÐ¸Ð½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² Ð² ÑÐ°Ð¼ÐºÐ°Ñ ÑÑÐ¸Ñ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¹ Ð¸ Ð¸Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°ÑÑ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ·ÐºÐ¾Ð¹ Ð·Ð¾Ð½Ñ. 2. ÐÑÐ¾Ð²ÐµÑÑÐ¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½ÑÑ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐµÐ¹ Ð¾Ð´Ð½Ð¾Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾ Ð²ÑÐµÑ ÑÐµÑÑÑÐµÑ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÑ ÐºÐ¸Ð½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ·ÐºÐ¾Ð¹ Ð·Ð¾Ð½Ñ Ð¿ÑÐ¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ð¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐ¿Ð¾ÑÐ¾Ð±Ð¾Ð² Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ð¸ ÑÑÐ½ÐºÑÐ¸Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¹, Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð¹ Ð¸ ÑÐ¾Ð»Ð»Ð¾Ð²ÑÐºÐ¾Ð¹ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð¼Ð¾ÑÑÐµÐ¹. 3. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÑÑ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð²Ð¸Ð´Ð° Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð¸ÑÑÑÑÐ¸Ñ ÑÑÐ½ÐºÑÐ¸Ð¹, Ð² ÑÐ»ÑÑÐ°Ðµ Ð¸Ñ Ð¾ÑÐ»Ð¸ÑÐ¸Ñ Ð¾Ñ Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½Ð¸ÐºÐ¾Ð², Ð½Ð° ÑÐ°ÑÐ°ÐºÑÐµÑ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½ÑÑ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐµÐ¹ ÐºÐ¸Ð½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð². Ð Ð°Ð±Ð¾ÑÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð½Ð° Ð±Ð°Ð·Ðµ Ð»Ð°Ð±Ð¾ÑÐ°ÑÐ¾ÑÐ¸Ð¸ Â«Ð¤Ð¸Ð·Ð¸ÐºÐ° Ð²ÑÑÐ¾ÐºÐ¾ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½ÑÑ ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ¾Ð²Â» Ð¡ÐÐ±ÐÐ£. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ» Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½ ÑÑÐ´ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ·ÐºÐ¾Ð¹ Ð·Ð¾Ð½Ñ, Ð¿ÑÐ¾Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½ÑÐµ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÑ ÐºÐ¸Ð½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² Ð² ÑÐ°Ð¼ÐºÐ°Ñ ÑÑÐ¸Ñ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¹, Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð° Ð¸Ñ ÑÐ²ÑÐ·Ñ Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸ Ð¸ Ð¿Ð¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð¿Ð¾Ð´Ð¾Ð±Ð½ÑÐµ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð¼Ð¾Ð³ÑÑ ÑÐ»ÑÑÑÐ¸ÑÑ ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²Ð¸Ðµ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÐºÑÐ¸Ð²ÑÑ Ð¸ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð´Ð»Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÐµÑÐ¼Ð¾ÑÐ´Ñ.
description: The work is devoted to the development of modifications of the narrow band model, the analysis of the temperature dependences of the transport coefficients in the frameworks of these modifications, and their comparison with the experimental data. The following goals were set for this research: 1. To analyze the possibilities of describing the experimental data using the narrow band model. 2. To simulate simultaneously the temperature dependences of the four main transport coefficients based on a narrow band model using various methods for approximating the density of states function, differential conductivity, and Hall conductivity. 3. To consider the influence of the type of the approximating functions, if they differ from rectangles, on the temperature dependences of the transport coefficients. The work was carried out in the laboratory "Physics of high-temperature superconductors" SPbPU. As a result, several modifications of the narrow-band model were constructed, the temperature dependences of the main transport coefficients were simulated in the frameworks of these modifications, their compliance with the experimental data was analyzed. It was shown that such modifications can improve the agreement between the theoretical curves and experimental data for the Seebeck coefficient.