title: Ð­Ð½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ¿ÐµÐºÑÑ Ð² ÑÐ¸Ð»ÑÐ½Ð¾Ð»ÐµÐ³Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¼ p-PbTe
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: Energy spectrum in highly alloyed p-PbTe
Creators: name: ÐÐ°ÐºÐ°ÑÐ¾Ð², ÐÑÑÐµÐ½Ð¸Ð¹
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: 2024
Subjects: Ð¿Ð¾Ð»ÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸Ðº
PbTe
Ð²Ð°Ð»ÐµÐ½ÑÐ½Ð°Ñ Ð·Ð¾Ð½Ð°
ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ¿ÐµÐºÑÑ Ð´ÑÑÐ¾Ðº
Ð¿ÑÐ¸Ð¼ÐµÑÐ¸ Tl Ð¸ Na
ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½ÑÐµ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ ÑÐ»ÐµÐºÑÑÐ¾Ð¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¾ÑÑÐ¸ Ð¸ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð¥Ð¾Ð»Ð»Ð°
ÑÐµÐ·Ð¾Ð½Ð°Ð½ÑÐ½ÑÐµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ Ð² Ð²Ð°Ð»ÐµÐ½ÑÐ½Ð¾Ð¹ Ð·Ð¾Ð½Ðµ
ÑÐ²ÑÐ·Ð°Ð½Ð½ÑÐµ Ñ ÑÐ°Ð»Ð»Ð¸ÐµÐ¼
ÑÐµÐ·Ð¾Ð½Ð°Ð½ÑÐ½Ð¾Ðµ ÑÐ°ÑÑÐµÑÐ½Ð¸Ðµ
ÑÑÐ°Ð±Ð¸Ð»Ð¸Ð·Ð°ÑÐ¸Ñ ÑÑÐ¾Ð²Ð½Ñ Ð¤ÐµÑÐ¼Ð¸
Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ Ð·Ð¾Ð½Ð½Ð¾Ð³Ð¾ ÑÐ¿ÐµÐºÑÑÐ°
semiconductor
valence band
energy spectrum of holes
Tl and Na impurities
temperature dependences of thermal conductivity and Halls coefficient
resonance states in the valence band
Fermi level stabilization
modification of the band spectrum

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ²Ð¾Ð¹ÑÑÐ² PbTe, Ð»ÐµÐ³Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¸Ð¼ÐµÑÑÐ¼Ð¸ Ð½Ð°ÑÑÐ¸Ñ Ð¸ ÑÐ°Ð»Ð»Ð¸Ñ, Ð¸ Ð¿ÑÐ¾Ð²ÐµÑÐºÐµ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, Ð¾Ð¿Ð¸ÑÑÐ²Ð°ÑÑÐ¸Ñ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ¿ÐµÐºÑÑ ÑÑÐ¾Ð³Ð¾ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°. 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ÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð»ÐµÐ³Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð½Ð° ÐºÐ¸Ð½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ðµ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÑ. 2. Ð¡Ð¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ¿ÐµÐºÑÑÐ°, Ð¾Ð¿Ð¸ÑÑÐ²Ð°ÑÑÐ¸Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ. 3. ÐÐ½Ð°Ð»Ð¸Ð· ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð² ÑÐ°Ð¼ÐºÐ°Ñ Ð²ÑÐµÑ ÑÑÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹. Ð Ð°Ð±Ð¾ÑÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð½Ð° Ð±Ð°Ð·Ðµ Ð¤Ð¢Ð Ð¸Ð¼. Ð.Ð¤. ÐÐ¾ÑÑÐµ, Ð³Ð´Ðµ Ð±ÑÐ»Ð¸ Ð¸Ð·Ð³Ð¾ÑÐ¾Ð²Ð»ÐµÐ½Ñ ÑÐµÑÐ¸Ð¸ Ð¾Ð±ÑÐ°Ð·ÑÐ¾Ð² Ð¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð´Ð²Ð¾Ð¹Ð½Ð¾Ð³Ð¾ Ð»ÐµÐ³Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»Ð¸ÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÑ. ÐÑÐ»Ð¸ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ñ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ ÑÐ»ÐµÐºÑÑÐ¾ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ²Ð¾Ð¹ÑÑÐ² Ð¾Ñ Ð¿ÑÐ¸Ð¼ÐµÑÐµÐ¹ Na Ð¸ Tl. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ñ ÑÐ»ÐµÐºÑÑÐ¾ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° ÑÐµÑÐ¸Ð¸ Ð¾Ð±ÑÐ°Ð·ÑÐ¾Ð² PbTe, Ð»ÐµÐ³Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÑ Tl Ð¸ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ Ð¿ÑÐ¸Ð¼ÐµÑÑÑ Na. ÐÐ°Ð±Ð»ÑÐ´Ð°ÐµÐ¼ÑÐµ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½ÑÑ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐµÐ¹ ÑÐ»ÐµÐºÑÑÐ¾Ð¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¾ÑÑÐ¸ Ð¸ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð¥Ð¾Ð»Ð»Ð° Ð¾Ð±ÑÑÑÐ½ÑÑÑÑÑ Ð² ÑÐ°Ð¼ÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐµÐ·Ð¾Ð½Ð°Ð½ÑÐ½ÑÑ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¹ ÑÐ°Ð»Ð»Ð¸Ñ Ñ ÑÑÑÑÐ¾Ð¼ ÑÐ»Ð¾Ð¶Ð½Ð¾Ð³Ð¾ ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð²Ð°Ð»ÐµÐ½ÑÐ½Ð¾Ð¹ Ð·Ð¾Ð½Ñ. ÐÐ¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¾Ð± Ð¸Ð´ÐµÐ°Ð»ÑÐ½Ð¾Ð¼ ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ðµ Ð¸ Ð·Ð¾Ð½Ð½Ð¾Ð¹ ÑÑÑÑÐºÑÑÑÐµ Ð² ÑÐ°Ð¼ÐºÐ°Ñ Ð¾Ð´Ð½Ð¾ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¸Ð±Ð»Ð¸Ð¶ÐµÐ½Ð¸Ñ Ð½ÐµÐ´Ð¾ÑÑÐ°ÑÐ¾ÑÐ½Ð¾ Ð´Ð»Ñ Ð¾Ð±ÑÑÑÐ½ÐµÐ½Ð¸Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¿Ð¾ ÑÑÑÐµÐºÑÑ Ð¥Ð¾Ð»Ð»Ð°. ÐÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾ ÑÑÐ¸ÑÑÐ²Ð°ÑÑ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ¿ÐµÐºÑÑÐ° Ñ ÑÑÑÑÐ¾Ð¼ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿ÑÐ¸Ð¼ÐµÑÐµÐ¹ Ð¸ Ð´ÐµÑÐµÐºÑÐ¾Ð² Ð¸ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ ÑÐ°ÑÑÐ¸Ñ.
description: This work is devoted to studying the electrical properties of PbTe doped with sodium and thallium impurities and testing theoretical models describing the energy spectrum of this material. Problems that were solved during the study: 1. Study of the effect of doping on kinetic coefficients. 2. Comparison of energy spectrum models describing experimental data. 3. Analysis of experimental data within the framework of all these models. The work was fulfilled on the premises of the Physicotechnical Institute named after. A.F. Ioffe, where a series of samples were manufactured and experiments were carried out using the double alloyage method. The dependences of the electrical properties on Na and Tl impurities were plotted. The electrophysical properties of a series of PbTe samples doped with Tl and an additional admixture of Na are investigated. Observed features of temperature dependences of electrical conductivity and Hallâs coefficient are explained within the framework of the model of resonant states of thallium, taking into account the complex structure of the valence band. It is shown that the ideal crystal and a band structure in the framework of the one-electron approximation is insuffitient to explain the experimental data on the Hall effect. It is necessary to take into account the modification of the energy spectrum taking into account the statistical distribution of impurities and defects and the additional interaction of particles.