# Mutual information, quantum phase transition, and phase coherence in Kondo systems

@article{Dong2021MutualIQ, title={Mutual information, quantum phase transition, and phase coherence in Kondo systems}, author={Jian-Jun Dong and Dongchen Huang and Yi-feng Yang}, journal={Physical Review B}, year={2021} }

We propose a static auxiliary field approximation to study the hybridization physics of Kondo systems without the sign problem and use the mutual information to measure the intersite hybridization correlations. Our method takes full account of the spatial fluctuations of the hybridization fields at all orders and overcomes the artificial (first-order) phase transition predicted in the mean-field approximation. When applied to the two-impurity Kondo model, it reveals a logarithmically divergent…

## 2 Citations

### Development of long-range phase coherence on the Kondo lattice

- PhysicsPhysical Review B
- 2022

Despite of many eﬀorts, we still lack a clear picture on how heavy electrons emerge and develop on the Kondo lattice. Here we introduce a key concept named the hybridization bond phase and propose a…

### Superconducting fluctuations and charge-4$e$ plaquette state at strong coupling

- Physics, Education
- 2023

,

## References

SHOWING 1-10 OF 93 REFERENCES

### Mutual information in heavy-fermion systems

- PhysicsPhysical Review B
- 2019

A key notion in heavy fermion systems is the entanglement between conduction electrons and localized spin degrees of freedom. To study these systems from this point of view, we compute the mutual…

### Competition between Hund's coupling and Kondo effect in a one-dimensional extended periodic Anderson model

- Physics
- 2015

We study the ground-state properties of an extended periodic Anderson model to understand the role of Hund's coupling between localized and itinerant electrons using the density-matrix…

### Finite-temperature mutual information in a simple phase transition

- Physics, Computer Science
- 2011

This work provides a simple example in which the mutual information appears as a powerful tool to detect finite-temperature phase transitions, contrary to entanglement measures such as the concurrence.

### Local Entanglement Entropy and Mutual Information across the Mott Transition in the Two-Dimensional Hubbard Model.

- PhysicsPhysical review letters
- 2019

This work studies the Mott transition in the half-filled two-dimensional Hubbard model using cellular dynamical mean-field theory, and focuses on two key measures of quantum correlations: entanglement entropy and a measure of total mutual information.

### Quantum Criticality and Dynamical Kondo Effect in an SU(2) Anderson Lattice Model

- Physics
- 2020

Metallic quantum criticality often develops in strongly correlated systems with local effective degrees of freedom. In this work, we consider an Anderson lattice model with SU(2) symmetry. The model…

### Kondo breakdown and hybridization fluctuations in the kondo-heisenberg lattice.

- PhysicsPhysical review letters
- 2007

This work studies the deconfined quantum critical point of the Kondo-Heisenberg lattice in three dimensions using a fermionic representation for the localized spins and finds that the specific heat coefficient diverges logarithmically in temperature, as observed in a number of heavy fermion metals.

### Entanglement probe of two-impurity Kondo physics in a spin chain.

- PhysicsPhysical review letters
- 2012

It is shown how the antiferromagnetic RKKY interaction produces an effective decoupling of the impurities from the bulk already for intermediate strengths of this interaction, and how the non-Fermi liquid quantum critical point is signaled in the quantum entanglement between various parts of the system.

### Hybridization fluctuations in the half-filled periodic Anderson model

- PhysicsPhysical Review B
- 2019

Motivated by recent photoemission and pump-probe experiments, we report determinant Quantum Monte Carlo simulations of hybridization fluctuations in the half-filled periodic Anderson model. A…

### Kondo stripes in an Anderson-Heisenberg model of heavy fermion systems.

- PhysicsPhysical review letters
- 2008

Within the unrestricted mean-field treatment of the infinite-U 2D Anderson-Heisenberg model, there are two topologically distinct nondegenerate uniform heavy Fermi liquid states that may form as a consequence of the Kondo coupling between spinons and conduction electrons.

### Large- N approach to the two-channel Kondo lattice

- PhysicsPhysical Review B
- 2020

This paper studies the two-channel Kondo lattice in the large-N limit at half-filling. In this model, the continuous channel-symmetry is spontaneously broken, forming a channel ferromagnet in which…