Interplay of Superconductivity and Localization

超导性和局域化的相互作用

基本信息

项目摘要

A central research area in condensed matter physics is theoretical prediction, classification, and description as well as experimental investigation of different phases of matter. The project is devoted to the theoretical study of phase transitions between superconducting, metallic, and insulating states in two-dimensional disordered interacting systems. The fundamental theoretical problem addressed in the proposal is that of the interplay of superconductivity, disorder, and electronic correlations. The major direction of the project is related to low-dimensional disordered superconducting structures. One of the central questions within this direction is the nature of the Superconductor-Insulator Transition in disordered systems, its degree of universality, and character of transport in its vicinity. The Superconductor-Insulator Transition (SIT) belongs to a broad class of disorder-induced quantum phase transitions which includes Anderson metal-insulator transition and quantum Hall transition. Localization-delocalization quantum phase transitions form an actively developing field of condensed matter physics. Electron-electron interaction effects at the transitions represent one of central research directions. Critical properties in the corresponding quantum critical regimes are governed by interplay of disorder- and interaction-controlled quantum-coherent effects. The project is intended to develop a coherent picture of disordered superconductors involving all the key ingredients: superconducting correlation, disorder-induced multifractality, and electron-electron interactions in various channels. The emphasis will be put on superconducting properties of thin films demonstrating the supeconductor -insulator transition and novel materials for high temperature superconductivity. The main expected result is the phase diagram describing different states of strongly correlated low-dimensional systems. The objectives of the project are expected to be particularly relevant for searching high-temperature superconductivity in novel materials. Methodologically, it is planned to generalize the interacting sigma-model with the interaction in the Cooper channel to include additional correlation mechanisms and unconventional symmetries.The Work Plan consists of the three inter-related Tasks:1. To develop a comprehensive theory of the SIT in thin films.2. To investigate the finite-T superconducting transition in disordered films, going beyond the mean-field description.3. To identify possibilities of disorder-induced enhancement of superconductivity in novel materials and nanosystems.
凝聚态物理的一个中心研究领域是对物质不同相的理论预测、分类和描述以及实验研究。本课题致力于二维无序相互作用系统中超导态、金属态和绝缘态相变的理论研究。提出的基本理论问题是超导性、无序性和电子相关性的相互作用。本课题主要研究方向为低维无序超导结构。这个方向的中心问题之一是无序系统中超导体-绝缘体跃迁的性质,其普遍性程度和其附近输运的特征。超导体-绝缘体相变(SIT)属于一类广泛的无序诱导量子相变,包括安德森金属-绝缘体相变和量子霍尔相变。局域-非局域量子相变是凝聚态物理中一个积极发展的领域。跃迁中的电子-电子相互作用效应是研究的中心方向之一。在相应的量子临界状态下,临界性质是由无序和相互作用控制的量子相干效应的相互作用决定的。该项目旨在发展一幅涉及所有关键成分的无序超导体的连贯图景:超导相关,无序诱导的多重分形,以及各种通道中的电子-电子相互作用。重点将放在展示超导-绝缘体转变的薄膜的超导特性和用于高温超导的新型材料上。主要的预期结果是描述强相关低维系统不同状态的相图。该项目的目标预计将与寻找新材料的高温超导性特别相关。在方法上,计划将相互作用的西格玛模型与库珀通道中的相互作用进行推广,以包括额外的相关机制和非常规对称性。《工作计划》包括三个相互关联的任务:发展薄膜中SIT的综合理论。研究无序薄膜中超越平均场描述的有限t超导跃迁。确定在新材料和纳米系统中无序诱导超导性增强的可能性。

项目成果

期刊论文数量(6)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Local density of states and its mesoscopic fluctuations near the transition to a superconducting state in disordered systems
  • DOI:
    10.1103/physrevb.93.205432
  • 发表时间:
    2016-03
  • 期刊:
  • 影响因子:
    3.7
  • 作者:
    I. Burmistrov;I. Gornyi;A. Mirlin
  • 通讯作者:
    I. Burmistrov;I. Gornyi;A. Mirlin
Superconductor-insulator transitions: Phase diagram and magnetoresistance
  • DOI:
    10.1103/physrevb.92.014506
  • 发表时间:
    2015-07-13
  • 期刊:
  • 影响因子:
    3.7
  • 作者:
    Burmistrov, I. S.;Gornyi, I. V.;Mirlin, A. D.
  • 通讯作者:
    Mirlin, A. D.
Mesoscopic fluctuations of the local density of states in interacting electron systems
相互作用电子系统中局域态密度的介观涨落
  • DOI:
    10.1134/s0021364017160019
  • 发表时间:
    2017
  • 期刊:
  • 影响因子:
    1.3
  • 作者:
    I.S. Burmistrov;I.V. Gornyi;A. D. Mirlin
  • 通讯作者:
    A. D. Mirlin
Superconductor-insulator transition in disordered Josephson-junction chains
  • DOI:
    10.1103/physrevb.96.064514
  • 发表时间:
    2017-08-11
  • 期刊:
  • 影响因子:
    3.7
  • 作者:
    Bard, M.;Protopopov, I. V.;Mirlin, A. D.
  • 通讯作者:
    Mirlin, A. D.
Berezinskii-Kosterlitz-Thouless transition in homogeneously disordered superconducting films
  • DOI:
    10.1103/physrevb.92.214503
  • 发表时间:
    2015-09
  • 期刊:
  • 影响因子:
    3.7
  • 作者:
    E. König;A. Levchenko;I. Protopopov;I. Gornyi;I. Burmistrov;A. Mirlin
  • 通讯作者:
    E. König;A. Levchenko;I. Protopopov;I. Gornyi;I. Burmistrov;A. Mirlin
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Privatdozent Dr. Igor Gornyi其他文献

Privatdozent Dr. Igor Gornyi的其他文献

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{{ truncateString('Privatdozent Dr. Igor Gornyi', 18)}}的其他基金

Correlations and defects in graphene and related materials: Charge and heat transport
石墨烯及相关材料的相关性和缺陷:电荷和热传输
  • 批准号:
    397373743
  • 财政年份:
    2018
  • 资助金额:
    --
  • 项目类别:
    Research Grants

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Collaborative Research: Optimizing KTaO3 Superconductivity for Quantum Applications
合作研究:优化 KTaO3 超导性以实现量子应用
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CAREER: Designing topological superconductivity and correlated phases in Van der Waals materials
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Study of chiral superconductivity by using high-frequency response to strain field and circular polarization
利用应变场和圆极化的高频响应研究手性超导
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Enhancement of the spin-orbit interaction and exotic superconductivity in correlated metals
相关金属中自旋轨道相互作用和奇异超导性的增强
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Elasto-superconductivity: a pathway to devising new unconventional superconductors
弹性超导:设计新型非常规超导体的途径
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