Supersymmetric spin operators

Abstract

We develop a supersymmetric representation of spin operators which unifies the Schwinger and Abrikosov representations of SU(N) spin operators, allowing a second-quantized treatment of representations of the SU(N) group with both symmetric and antisymmetric character. By applying this to the SU(N) Kondo model, we show that it is possible to develop a controlled treatment of both Magnetism and the Kondo effect within a single large N expansion.

Typos corrected. Two column version http://www.physics.rutgers.edu/~coleman/susypaper.ps.gz

References in corpus (1)

• Quantum Critical Behavior in Kondo Systems

Cited by in corpus (27)

• Locally critical quantum phase transitions in strongly correlated metals
• How do Fermi liquids get heavy and die?
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Local fluctuations in quantum critical metals
• Anomalous NMR Magnetic Shifts in CeCoIn_5
• Scaling in the Emergent Behavior of Heavy Electron Materials
• Locally critical point in an anisotropic Kondo lattice
• What is the fate of the heavy electron at a quantum critical point?
• Schwinger-Keldysh semionic approach for quantum spin systems
• Phase diagram and dynamics of the SU($\mathbf{N}$) symmetric Kondo lattice model
• Non-equilibrium Quantum Spin Dynamics from 2PI Functional Integral Techniques in the Schwinger Boson Representation
• Supersymmetric Hubbard Operators
• Tunable-spin-model generation with spin-orbit-coupled fermions in optical lattices
• Supersymmetric approach to heavy fermion systems
• Quantum many-body states and Green functions of nonequilibrium electron-magnon systems: Localized spin operators vs. their mapping to Holstein-Primakoff bosons
• Random Antiferromagnetic SU(N) Spin Chains
• Ginzburg-Landau functional for nearly antiferromagnetic perfect and disordered Kondo lattices
• Semi-fermionic representation for spin systems under equilibrium and non-equilibrium conditions
• Intermediate coupling fixed point study in the overscreened regime of generalized multichannel SU(N) Kondo models
• Bosonization and phase Diagram of the one-dimensional t-J model
• Anomalous Paramagnetic Magnetization in Mixed State of CeCoIn${}_5$ single crystals
• Local quantum critical point and non-Fermi liquid properties
• Supersymmetric approach to the infinite U Hubbard Model
• Fermi surface enlargement on the Kondo lattice
• Atomic Model of Susy Hubbard Operators
• Transition from a strong-coupling fixed point to an intermediate-coupling fixed point in a single-channel SU(N) Kondo model: role of the filling and two-stage screening
• Anomalous Local Criticality in Heavy Fermion Metals from Holography