# Hidden Anderson Localization in Disorder-Free Ising-Kondo Lattice

## TL;DR

This paper demonstrates the existence of Anderson localization in a disorder-free Ising-Kondo lattice, revealing a new type of localization driven by quenched disorder from localized moments, with implications for translation-invariant systems.

## Contribution

It introduces a disorder-free Anderson localization phase in a modified Kondo lattice, supported by classical Monte Carlo simulations and quantum entanglement analysis, expanding understanding of localization phenomena.

## Key findings

- Identification of Anderson localization in a disorder-free system
- Existence of a many-body wavefunction capturing multiple phases
- Quantum entanglement characteristics of the localized phase

## Abstract

Anderson localization (AL) phenomena usually exists in systems with random potential. However, disorder-free quantum many-body systems with local conservation can also exhibit AL or even many-body localization transition. In this work, we show that the AL phase exists in a modified Kondo lattice without external random potential. The density of state, inverse participation ratio and temperature-dependent resistance are computed by classical Monte Carlo simulation, which uncovers the AL phase from previously studied Fermi liquid and Mott insulator regime. The occurrence of AL roots from quenched disorder formed by conservative localized moments. Interestingly, a many-body wavefunction is found, which captures elements in all three paramagnetic phases and is used to compute their quantum entanglement. In light of these findings, we expect the disorder-free AL phenomena can exit in generic translation-invariant quantum many-body systems.