A Scaling Approach for Interacting Quantum Wires -a Possible Explanation for the 0.7 Anomalous Conductance

Abstract

We consider a weakly interacting finite wire with short and long range interactions. The long range interactions enhance the $4k_F$ scattering and renormalize the wire to a strongly interacting limit. For large screening lengths, the renormalized charge stiffness Luttinger parameter $K_{eff.}$ decreases to $K_{eff.}<1/2$, giving rise to a Wigner crystal at T=0 with an anomalous conductance at finite temperatures. For short screening lengths, the renormalized Luttinger parameter $K_{eff.}$ is restricted to $1/2\le K_{eff.}\le 1$. As a result, at temperatures larger than the magnetic exchange energy we find an interacting metal which for $K_{eff.}\approx 1/2$ is equivalent to the Hubbard $U\to \infty$ model, with the anomalous conductance $G\approx \frac{e^2}{h}$ .

26 pages and 6 figures

References in corpus (8)

• Magnetic impurity formation in quantum point contacts
• The spin-incoherent Luttinger liquid
• Wigner crystal physics in quantum wires
• Probing the microscopic structure of bound states in quantum point contacts
• Ferromagnetic Spin Coupling as the Origin of 0.7 Anomaly in Quantum Point Contacts
• Length-Dependent Conductance of a Spin-Incoherent Hubbard chain; Monte Carlo Calculations
• The theory of the "0.7 anomaly" in quantum point contacts
• Electronic transport in inhomogeneous quantum wires

Cited by in corpus (3)

• Dirac's method for constraints - an application to quantum wires,the 0.7 conductance anomaly
• Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime
• Fractional Topological Insulators- A Bosonization Approach