Effects of Berry phase and instantons in one dimensional Kondo-Heisenberg model

Abstract

Motivated by the global phase diagram of antiferromagnetic heavy-fermion metals, we study the Kondo effect from the perspective of a nonlinear sigma model in the one dimensional Kondo-Heisenberg model. We focus on the effects of the instanton configurations of the sigma-model field and the associated Berry phase. Guided by the results derived using bosonization methods, we demonstrate that the Kondo singlet formation is accompanied by an emergent Berry phase. This Berry phase also captures the competition between the Kondo-singlet formation and spin Peierls correlations. Related effects are likely to be realized in Kondo lattice systems in higher dimensions.

7 pages; replaced with the version published in PRL

References in corpus (8)

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Cited by in corpus (9)

• Quantum phase transitions in heavy fermion metals and Kondo insulators
• Kondo Destruction and Quantum Criticality in Kondo Lattice Systems
• Itinerant quantum multi-criticality of two dimensional Dirac fermions
• Quantum critical metals and loss of quasiparticles
• Topological defects of Néel order and Kondo singlet formation for Kondo-Heisenberg model on a honeycomb lattice
• Skyrmion defects and competing singlet orders in a half-filled antiferromagnetic Kondo-Heisenberg model on the honeycomb lattice
• Self-duality of the integer quantum Hall to insulator transition: composite fermion description
• Non-Abelian bosonization in a (3+1)-d Kondo semimetal via quantum anomalies
• Dynamic zero modes of Dirac fermions and competing singlet phases of antiferromagnetic order