Dissipative dynamics of an extended magnetic nanostructure: Spin necklace in a metallic environment

Abstract

We study theoretically the dynamics of an ``xxz'' spin necklace coupled to a conduction electron sea, a model system for a nanostructure in a dissipative environment. We extract the long-time behavior via a mapping to a multichannel Coulomb gas problem followed by a scaling analysis. The strong quantum fluctuations of the necklace cause a nontrivial dependence of couplings on system size which we extract via an analysis involving the ``boundary condition changing operator'', and confirm via a detailed numerical evaluation of one case.

arXiv comment4 pages, 4 figures

References in corpus (5)

• Non-Fermi Liquid Behavior in U and Ce Alloys: Criticality, Disorder, Dissipation, and Griffiths-McCoy singularities
• The Fermi Edge Singularity and Boundary Condition Changing Operators
• Quantum Relaxation of Magnetisation in Magnetic Particles
• Local Defect in Metallic Quantum Critical Systems
• Anderson-Yuval approach to the multichannel Kondo problem

Cited by in corpus (15)

• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Impurity Quantum Phase Transitions
• Quantum Griffiths effects in itinerant Heisenberg magnets
• Exotic Kondo effect from magnetic trimers
• Consistent bosonization-debosonization II: The two-lead Kondo problem and the fate of its non-equilibrium Toulouse point
• A Tale of Two Theories: Quantum Griffiths Effects in Metallic Systems
• Prediction of the capacitance lineshape in two-channel quantum dots
• Mapping of the Anisotropic Two-channel Anderson Model onto a Fermi-Majorana bi-Resonant Level Model
• Consistent bosonization-debosonization I: A resolution of the non-equilibrium transport puzzle
• Bosonization approach to the mixed-valence two-channel Kondo problem
• Enhanced Two-Channel Kondo Physics in a Quantum Box Device
• Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality
• Effective classical correspondence of the Mott transition
• Proposal for a two-channel quantum dot setup: Prediction for the capacitance lineshape
• Bosonization solution of the Kondo lattice in a Luttinger liquid