title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÐºÑÐ»Ð¾Ð½Ð¾Ð²ÑÐºÐ¾Ð³Ð¾ ÑÑÐµÐºÐ»Ð° Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð¿ÑÑÐ¼Ð¾Ð³Ð¾ ÑÑÐ¼Ð¿Ð»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ
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: Study of Coulomb glass by direct sampling
Creators: name: ÐÐ»ÑÐµÐ², ÐÐ¾Ð½ÑÑÐ°Ð½ÑÐ¸Ð½
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: Ð¾Ð´Ð½Ð¾ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½Ð°Ñ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÑ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¹
ÐºÑÐ»Ð¾Ð½Ð¾Ð²ÑÐºÐ°Ñ ÑÐµÐ»Ñ
Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÑ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ
Ð¼ÐµÑÐ¾Ð´ Ð¿ÑÑÐ¼Ð¾Ð³Ð¾ ÑÑÐ¼Ð¿Ð»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ
one-electron density of states
coulomb gap
density of states of the system
direct sampling method

description: Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð·Ð°Ð´Ð°ÑÐµ Ð¿Ð¾ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ Ð»ÐµÐ³Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÑ Ð¿Ð¾Ð»ÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ¾Ð² Ñ Ð½ÐµÐ½ÑÐ»ÐµÐ²Ð¾Ð¹ ÑÑÐµÐ¿ÐµÐ½ÑÑ ÐºÐ¾Ð¼Ð¿ÐµÐ½ÑÐ°ÑÐ¸Ð¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¹. ÐÐ»Ñ ÑÑÐ¾Ð³Ð¾ ÑÐ¾Ð·Ð´Ð°Ð½Ð° Ð¼Ð¾Ð´ÐµÐ»Ñ ÐºÑÐ»Ð¾Ð½Ð¾Ð²ÑÐºÐ¾Ð³Ð¾ ÑÑÐµÐºÐ»Ð° ÑÐ¾ ÑÐ»ÑÑÐ°Ð¹Ð½Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð½ÑÐ¼Ð¸ Ð¿ÑÐ¸Ð¼ÐµÑÑÐ¼Ð¸, Ð´Ð¾Ð½Ð¾ÑÐ°Ð¼Ð¸ Ð¸ Ð°ÐºÑÐµÐ¿ÑÐ¾ÑÐ°Ð¼Ð¸, Ð¸ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð¿ÑÑÐ¼Ð¾Ð³Ð¾ ÑÑÐ¼Ð¿Ð»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ñ Ð¿Ð¾ Ð¿ÑÐ¸Ð¼ÐµÑÑÐ¼ Ð·Ð°ÑÑÐ´Ñ. ÐÐ¾Ð²ÑÐ¾ÑÐ¸Ð² Ð¼ÐµÑÐ¾Ð´ Ð¿ÑÑÐ¼Ð¾Ð³Ð¾ ÑÑÐ¼Ð¿Ð»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð±Ð¾Ð»ÑÑÐ¾Ðµ ÑÐ¸ÑÐ»Ð¾ ÑÐ°Ð· Ð¿Ð¾Ð»ÑÑÐ°ÐµÐ¼ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¾Ñ Ð´Ð¸Ð¿Ð¾Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¼Ð¾Ð¼ÐµÐ½ÑÐ° Ð¸ ÑÐ½ÐµÑÐ³Ð¸Ð¸ ÑÐ¸ÑÑÐµÐ¼Ñ. ÐÐºÐ°Ð·Ð°Ð»Ð¾ÑÑ, ÑÑÐ¾ Ð´Ð°Ð½Ð½Ð¾Ðµ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð´Ð»Ñ ÑÐ°Ð·Ð½ÑÑ Ð´Ð¸Ð¿Ð¾Ð»ÑÐ½ÑÑ Ð¼Ð¾Ð¼ÐµÐ½ÑÐ¾Ð² ÑÐ²Ð»ÑÐµÑÑÑ ÐÐ°ÑÑÑÐ¾Ð²ÑÐ¼. Ð­ÑÐ¾ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ð»Ð¾ Ð¾Ð¿Ð¸ÑÐ°ÑÑ ÐµÐ³Ð¾ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸. Ð§Ð¸ÑÐ»Ð¾ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¹ Ð´Ð»Ñ ÑÐ°Ð·Ð½ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹ Ð´Ð¸Ð¿Ð¾Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¼Ð¾Ð¼ÐµÐ½ÑÐ°, ÑÐ´Ð°Ð»Ð¾ÑÑ Ð¾Ð¿Ð¸ÑÐ°ÑÑ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑ ÐÐ°Ð¼Ð¼Ð° ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ. ÐÐ¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð²Ð¾ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð²ÑÐ¸ÑÑ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ð¼ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸ÐµÐ¼ Ð¼Ð¾Ð¶Ð½Ð¾ ÑÐ°ÑÑÑÐ¸ÑÐ°ÑÑ Ð²ÐµÑÐ¾ÑÑÐ½Ð¾ÑÑÑ Ð¾Ð±Ð½Ð°ÑÑÐ¶ÐµÐ½Ð¸Ñ ÑÐ¸ÑÑÐµÐ¼Ñ Ð² ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÑÑÐµÐ¼ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¸, Ð° Ð´Ð¾Ð±Ð°Ð²Ð¸Ð² Ðº ÑÑÐ¾Ð¼Ñ Ð²ÑÐ²Ð¾Ð´ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÐ¼Ð¼Ñ â ÑÐ°ÑÑÑÐ¸ÑÐ°ÑÑ Ð¼Ð½Ð¾Ð³Ð¸Ðµ ÑÐµÑÐ¼Ð¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° ÑÐ¸ÑÑÐµÐ¼Ñ.
description: The work is devoted to the problem of describing doped semiconductors with a non-zero degree of stability using the hardness method. For this model, a model of coulomb glass with randomly distributed impurities, donors and acceptors, as well as a method of direct sampling of charges distributed over the impurities, was created. By repeating the method of direct sampling of a large number of times, it is possible to determine the state of the system from the dipole moment and the energy system. It turned out that this distribution for different dipole moments is Gaussian. This made it possible to describe it analytically. The number of states for different valuesÂ  of the dipole moment could be described analytically using the Gamma distribution. It is shown that using an analytical description, one can calculate the probability of detecting a system in the appropriate state, and adding to this the conclusion of a partition function, one can calculate many thermodynamic properties of the system.