Conductance anomalies and the extended Anderson model for nearly perfect quantum wires

Abstract

Anomalies near the conductance threshold of nearly perfect semiconductor quantum wires are explained in terms of singlet and triplet resonances of conduction electrons with a single weakly-bound electron in the wire. This is shown to be a universal effect for a wide range of situations in which the effective single-electron confinement is weak. The robustness of this generic behavior is investigated numerically for a wide range of shapes and sizes of cylindrical wires with a bulge. The dependence on gate voltage, source-drain voltage and magnetic field is discussed within the framework of an extended Hubbard model. This model is mapped onto an extended Anderson model, which in the limit of low temperatures is expected to lead to Kondo resonance physics and pronounced many-body effects.

References in corpus (1)

• Kondo model for the "0.7 anomaly" in transport through a quantum point contact

Cited by in corpus (11)

• Entanglement between static and flying qubits in a semiconducting carbon nanotube
• Entanglement between static and flying qubits in quantum wires
• Theoretical study of electronic transport through a small quantum dot with a magnetic impurity
• Effect of assisted hopping on thermopower in an interacting quantum dot
• Quantum point contact with large localized spin: fractional quantization of the ballistic conductance
• Shot noise reduction in quantum wires with "0.7 structure"
• Mechanism of electron localization in a quantum wire
• Entanglement and transport anomalies in nanowires
• Large Zeeman Splitting in Out-of-Plane Magnetic Field in a Double-Layer Quantum Point Contact
• Quantum currents and pair correlation of electrons in a chain of localized dots
• Spin transport in Aharonov-Bohm ring with exchange interaction