Bosonic Peierls state emerging from the one-dimensional Ising-Kondo interaction

TL;DR

This paper demonstrates the emergence of a bosonic Peierls state in a one-dimensional Ising-Kondo lattice model, characterized by long-range spin-density-wave order, using perturbation and numerical methods, with potential realization in ultracold atom experiments.

Contribution

It introduces a bosonic analog of the Peierls state in a 1D Ising-Kondo model, expanding understanding of particle-lattice interactions beyond fermionic systems.

Findings

Bosonic Peierls state characterized by spin-density-wave order.

Phase diagram includes paramagnetic, ferromagnetic, and Peierls phases.

Potential realization with ultracold atoms in optical lattices.

Abstract

As an important effect induced by the particle-lattice interaction, the Peierls transition, a hot topic in condensed matter physics, is usually believed to occur in the one-dimensional fermionic systems. We here study a bosonic version of the one-dimensional Ising-Kondo lattice model, which describes itinerant bosons interact with the localized magnetic moments via only longitudinal Kondo exchange.\ We show that, by means of perturbation analysis and numerical density-matrix renormalization group method, a bosonic analog of the Peierls state can occur in proper parameters regimes. The Peierls state here is characterized by the formation of a long-range spin-density-wave order, the periodicity of which is set by the density of the itinerant bosons. The ground-state phase diagram is mapped out by extrapolating the finite-size results to thermodynamic limit. Apart from the bosonic Peierls state, we also reveal the presence of some other magnetic orders, including a paramagnetic phase and a ferromagnetic phase. We finally propose a possible experimental scheme with ultracold atoms in optical lattices. Our results broaden the frontiers of the current understanding of the one-dimensional particle-lattice interaction system.