The paper we presented is essentially the logical conclusion of a large-scale work - from developing a strategy for detecting topological BKT phase transitions in a Josephson medium of granular high-temperature superconductors to establishing the identity of topological phases arising from two fundamentally different types of external influence. The work is devoted to the study of the topological phases arising in the two-dimensional Josephson medium of granular high-temperature superconductors YBa₂Cu₃O_7-δ during the Berezinskii-Kosterlits-Thouless phase transitions (BKT transition) under the influence of temperature, external magnetic field and transport current. The features of the behavior of magnetoresistance isotherms R(Н_ext)_T=const and current – voltage characteristics (CVCs) E(j)_T=const in the vicinity of the temperatures of the BKT phase transitions have been discovered. It has been experimentally established that granular HTSC YBa₂Cu₃O_7-δ is a unique object for studying the influence of external actions (magnetic field, transport current) on topological phase transitions and topological phases, since in its crystal structure there are no sources of an internal magnetic field.

我们提出的论文基本上是一项大规模工作的合乎逻辑的结论——从开发一种策略来检测颗粒高温超导体约瑟夫森介质中的拓扑 BKT 相变，到建立由两种根本不同类型的超导体产生的拓扑相的同一性。外部影响。该工作致力于研究在 Berezinskii-Kosterlits-Thouless 相变（BKT 相变）期间颗粒状高温超导体 YBa ₂ Cu ₃ O _7-δ二维约瑟夫森介质中的拓扑相。温度、外磁场和传输电流。磁阻等温线的行为特征R (Н _ext ) _{T =const}和电流-电压特性 (CVC) E ( j ) _{T =}在 BKT 相变温度附近的_常数已被发现。实验表明，粒状 HTSC YBa ₂ Cu ₃ O _7-δ是研究外部作用（磁场、输运电流）对拓扑相变和拓扑相的影响的独特对象，因为在其晶体结构中没有内部磁场的来源。