Strongly correlated metal interfaces in the Gutzwiller approximation

Abstract

We study the effect of spatial inhomogeneity on the physics of a strongly correlated electron system exhibiting a metallic phase and a Mott insulating phase, represented by the simple Hubbard model. In three dimensions, we consider various geometries, including vacuum-metal-vacuum, a junction between a weakly and a strongly correlated metal, and finally the double junctions metal-Mott insulator-metal and metal-strongly correlated metal- metal. We applied to these problems the self-consistent Gutzwiller technique recently developed in our group, whose approximate nature is compensated by an extreme flexibility,ability to treat very large systems, and physical transparency. The main general result is a clear characterization of the position dependent metallic quasiparticle spectral weight. Its behavior at interfaces reveals the ubiquitous presence of exponential decays and crossovers, with decay lengths of clear physical significance. The decay length of metallic strength in a weakly-strongly correlated metal interface is due to poor screening in the strongly correlated side. The decay length of metallic strength from a metal into a Mott insulator (or into vacuum) is due to tunneling. In both cases, the decay length is a bulk property, and diverges with a critical exponent ($\sim 1/2$ in the present approximation, mean field in character) as the (continuous, paramagnetic) Mott transition is approached.

19 pages, 19 figures

References in corpus (8)

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• Kondo proximity effect: How does a metal penetrate into a Mott insulator?
• Gutzwiller description of non-magnetic Mott insulators: a dimer lattice model
• Surface dead layer for quasiparticles near a Mott transition
• Photoemission study of (V${}_{1-x}$M${}_x$)${}_2$O${}_3$ (M=Cr, Ti)
• Electronic structures of CeRu${}_2{X}_2$ ($X$ = Si, Ge) in the paramagnetic phase studied by soft X-ray ARPES and hard X-ray photoelectron spectroscopy
• Perfect dc conductance of a finite width Mott insulator sandwiched between metallic leads at zero temperature: a quantum emergent phenomenon in strongly correlated multilayers
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• Proximity effects in a topological-insulator/Mott-insulator heterostructure
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• Field effect on surface states in a doped Mott-Insulator thin film
• Strengthened correlations near [110] edges of $d$-wave superconductors in the t-J model with the Gutzwiller approximation
• Spin-imbalance induced buried topological edge currents in Mott \& topological insulator heterostructures