Quantum Phase Transition in a Multilevel Dot

2001/08/31 by Walter Hofstetter, Herbert Schoeller · 11 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.88.016803

published as Phys. Rev. Lett. 88, 016803 (2002) · 4 pages, 5 eps figures, published version

openalex publication_date 2001/12/19 · arxiv created 2001/12/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss electronic transport through a lateral quantum dot close to the singlet-triplet degeneracy in the case of a single conduction channel per lead. By applying the numerical renormalization group, we obtain rigorous results for the linear conductance and the density of states. A new quantum phase transition of the Kosterlitz-Thouless-type is found, with an exponentially small energy scale T(*) close to the degeneracy point. Below T(*), the conductance is strongly suppressed, corresponding to a universal dip in the density of states. This explains recent transport measurements.

Citations

• Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• Relation between the Anderson and Kondo Hamiltonians
• The renormalization group: Critical phenomena and the Kondo problem

Cited by

• Kondo shuttling in a nanoelectromechanical single-electron transistor
• Tunable Kondo screening in a quantum dot device
• Kondo effect in coupled quantum dots with RKKY interaction: Effects of finite temperature and magnetic field
• Zero-Bias Anomaly and Kondo-Assisted Quasiballistic 2D Transport
• Singular dynamics of underscreened magnetic impurity models
• Quantum impurity models of noisy qubits
• Interference effects in the conductance of multilevel quantum dots
• Enhancement of Kondo Effect in Multilevel Quantum Dots
• Quantum phase transitions
• Perturbative theory of the non-equilibrium singlet-triplet transition
• Flux-dependent level attraction in double-dot Aharonov-Bohm interferometers