Nonequilibrium Transport through a Kondo-dot in a Magnetic Field

Peter Wölfle; Achim Rosch; Jens Paaske; Johann Kroha

doi:10.1007/3-540-45618-X_14

Nonequilibrium Transport through a Kondo-dot in a Magnetic Field

Peter Wölfle, Achim Rosch, Jens Paaske, Johann Kroha

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Abstract

Electron transport through a quantum-dot in the Coulomb blockade regime is modeled by a Kondo-type hamiltonian describing spin-dependent tunneling and exchange interaction with the local spin. We consider the regime of large transport voltage V and magnetic field B with max(V, B) » Tk, the Kondo temperature, and show that a renormalized perturbation theory can be formulated describing the local magnetization M and the differential conductance G quantitatively. Based on the structure of leading logarithmic corrections in bare perturbation theory we argue that the perturbative renormalization group has to be generalized to allow for frequency dependent coupling functions. We simplify the full RG equations in the spirit of poor man’s scaling and calculate M and G in leading order of 1/ln[(V, B)/T k].

Original language	English
Book series	Advances in Solid State Physics
Volume	42
Pages (from-to)	175-185
ISSN	1438-4329
DOIs	https://doi.org/10.1007/3-540-45618-X_14
Publication status	Published - 2002
Externally published	Yes

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10.1007/3-540-45618-X_14

AdvSolStatPhys WoelfleNonequKondoBfield 2002Submitted manuscript, 326 KB

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title = "Nonequilibrium Transport through a Kondo-dot in a Magnetic Field",

abstract = "Electron transport through a quantum-dot in the Coulomb blockade regime is modeled by a Kondo-type hamiltonian describing spin-dependent tunneling and exchange interaction with the local spin. We consider the regime of large transport voltage V and magnetic field B with max(V, B) » Tk, the Kondo temperature, and show that a renormalized perturbation theory can be formulated describing the local magnetization M and the differential conductance G quantitatively. Based on the structure of leading logarithmic corrections in bare perturbation theory we argue that the perturbative renormalization group has to be generalized to allow for frequency dependent coupling functions. We simplify the full RG equations in the spirit of poor man{\textquoteright}s scaling and calculate M and G in leading order of 1/ln[(V, B)/T k].",

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T1 - Nonequilibrium Transport through a Kondo-dot in a Magnetic Field

AU - Wölfle, Peter

AU - Rosch, Achim

AU - Paaske, Jens

AU - Kroha, Johann

PY - 2002

Y1 - 2002

N2 - Electron transport through a quantum-dot in the Coulomb blockade regime is modeled by a Kondo-type hamiltonian describing spin-dependent tunneling and exchange interaction with the local spin. We consider the regime of large transport voltage V and magnetic field B with max(V, B) » Tk, the Kondo temperature, and show that a renormalized perturbation theory can be formulated describing the local magnetization M and the differential conductance G quantitatively. Based on the structure of leading logarithmic corrections in bare perturbation theory we argue that the perturbative renormalization group has to be generalized to allow for frequency dependent coupling functions. We simplify the full RG equations in the spirit of poor man’s scaling and calculate M and G in leading order of 1/ln[(V, B)/T k].

AB - Electron transport through a quantum-dot in the Coulomb blockade regime is modeled by a Kondo-type hamiltonian describing spin-dependent tunneling and exchange interaction with the local spin. We consider the regime of large transport voltage V and magnetic field B with max(V, B) » Tk, the Kondo temperature, and show that a renormalized perturbation theory can be formulated describing the local magnetization M and the differential conductance G quantitatively. Based on the structure of leading logarithmic corrections in bare perturbation theory we argue that the perturbative renormalization group has to be generalized to allow for frequency dependent coupling functions. We simplify the full RG equations in the spirit of poor man’s scaling and calculate M and G in leading order of 1/ln[(V, B)/T k].

U2 - 10.1007/3-540-45618-X_14

DO - 10.1007/3-540-45618-X_14

M3 - Conference article

SN - 1438-4329

VL - 42

SP - 175

EP - 185

JO - Advances in Solid State Physics

JF - Advances in Solid State Physics

ER -

Nonequilibrium Transport through a Kondo-dot in a Magnetic Field

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