2015/09/30 by Jian-Huang She, A. R. Bishop, Alexander V. Balatsky
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Electronic and Structural Properties of Oxides #Engineering physics #Magnetic and transport properties of perovskites and related materials #Physics #Quantum #Quantum mechanics #Theoretical physics #cond-mat.str-el #cond-mat.supr-con #hep-th
paper · pdf · doi:10.1103/physrevb.93.195122
published as Phys. Rev. B 93, 195122 (2016) · Revised version; 12 pages, 5 figures
arxiv created 2016/05/02 · openalex publication_date 2016/05/11 · arxiv updated 2016/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Our current understanding of strongly correlated electron systems is based on a homogeneous framework. Here we take a step going beyond this paradigm by incorporating inhomogeneity from the beginning. Specifying to systems near the Mott metal-insulator transition, we propose a real-space picture of itinerant electrons functioning in the fluctuating geometries bounded by interfaces between metallic and insulating regions. In 2+1 dimensions, the interfaces are closed bosonic strings, and we have a system of strings coupled to itinerant electrons. When the interface tension vanishes, the geometric fluctuations become critical, which gives rise to non-Fermi-liquid behavior for the itinerant electrons. In particular, the poles of the fermion Green's function can be converted to zeros, indicating the absence of propagating quasiparticles. Furthermore, the quantum geometric fluctuations mediate Cooper pairing among the itinerant electrons, indicating the intrinsic instability of electronic systems near the Mott transition.