Transport through a finite Hubbard chain connected to reservoirs

Article

关键词: FERMI-LIQUID THEORY;    RENORMALIZATION-GROUP;    MOTT INSULATOR;    QUANTUM WIRES;    CONDUCTANCE;   

DOI  :  10.1103/PhysRevB.59.12240

来源: SCIE

【 摘 要 】

The de conductance g(N) through a finite Hubbard chain of size N(=1,2,3,...) connected to reservoirs is studied at T=0 in an electron-hole symmetric case. We calculate a spatial dependence of the self-energy analytically at omega=0 within the second order in U, and obtain an inter-site Green's function G(N1), from which g(N) can be determined, via the Dyson equation. The results depend strongly on whether N is even or odd. For odd N, a perfect transmission occurs, and g(N)=2e(2)/h independent of the values of U. This may be attributed to a Kondo resonance appearing at omega=0. For even N, gN decreases with increasing N, and converges to a finite constant which is a smooth decreasing function of U. These behaviors are essentially owing to the presence of the reservoirs, which makes a quasiparticle description valid for low-energy states at omega much less than h upsilon(F)/(Na); where upsilon(F) is the Fermi velocity and a is the lattice constant. [S0163-1829(99)07519-0].

【 授权许可】

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