Novel duality in disorder driven local quantum criticality

Abstract

We find that competition between random Kondo and random magnetic correlations results in a quantum phase transition from a local Fermi liquid to a spin liquid. The local charge susceptibility turns out to have exactly the same critical exponent as the local spin susceptibility, suggesting novel duality between the Kondo singlet phase and the critical local moment state beyond the Landau-Ginzburg-Wilson symmetry breaking framework. This leads us to propose an enhanced symmetry at the local quantum critical point, described by an O(4) vector for spin and charge. The symmetry enhancement serves mechanism of electron fractionalization in critical impurity dynamics, where such fractionalized excitations are identified with topological excitations.

References in corpus (11)

• "Deconfined" quantum critical points
• Quantum Criticality in Heavy Fermion Metals
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Masses in graphene-like two-dimensional electronic systems: topological defects in order parameters and their fractional exchange statistics
• Chiral Topological Insulators, Superconductors and other competing orders in three dimensions
• Many-body spin Berry phases emerging from the $\pi$-flux state: antiferromagnetic/valence-bond-solid competition
• Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
• Quantum critical properties of the Bose-Fermi Kondo Model in a large-N limit
• Strongly Inhomogeneous Phases and Non-Fermi Liquid Behavior in Randomly Depleted Kondo Lattices
• Spin Liquid Behavior in Electronic Griffiths Phases
• Exact duality relations in correlated electron systems

Cited by in corpus (5)

• Probing surface states of topological insulator: Kondo effect and Friedel oscillation under magnetic field
• Kondo-Anderson Transitions
• Competition between Kondo and RKKY correlations in the presence of strong randomness
• Magnetic Quantum Phase Diagram of Magnetic Impurities in 2 Dimensional Disordered Electron Systems
• Stoner instability revisited: Emergence of local quantum criticality?