# Long-term memory magnetic correlations in the Hubbard model: A dynamical mean-field theory analysis

@article{Watzenbock2021LongtermMM, title={Long-term memory magnetic correlations in the Hubbard model: A dynamical mean-field theory analysis}, author={Clemens Watzenbock and Martina Fellinger and Karsten Held and Alessandro Toschi}, journal={SciPost Physics}, year={2021} }

We investigate the onset of a not-decaying asymptotic behavior of temporal magnetic correlations in the Hubbard model in infinite dimensions. This long-term memory feature of dynamical spin correlations can be precisely quantified by computing the difference between the zero-frequency limit of the Kubo susceptibility and the corresponding static isothermal one.
Here, we present a procedure for reliably evaluating this difference starting from imaginary time-axis data, and apply it to the…

## 4 Citations

### Fermionic-propagator and alternating-basis quantum Monte Carlo methods for correlated electrons on a lattice

- PhysicsThe Journal of Chemical Physics
- 2023

Ultracold-atom simulations of the Hubbard model provide insights into the character of charge and spin correlations in and out of equilibrium. The corresponding numerical simulations, on the other…

### Alternating-basis quantum Monte Carlo method for correlated electrons on a lattice

- Physics
- 2022

We devise and benchmark a numerically exact quantum Monte Carlo (QMC) method for interacting electrons on a lattice, that we dub the alternating-basis QMC (ABQMC). The method is uniquely suited to…

### Timescale of local moment screening across and above the Mott transition

- Physics
- 2021

A material’s phase diagram typically indicates the types of realized long-range orders, corresponding to instabilities in static response functions. In correlated systems, however, key phenomena…

## References

SHOWING 1-10 OF 70 REFERENCES

### Two-particle Fermi liquid parameters at the Mott transition: Vertex divergences, Landau parameters, and incoherent response in dynamical mean-field theory

- PhysicsPhysical Review B
- 2019

We consider the interaction-driven Mott transition at zero temperature from the viewpoint of microscopic Fermi liquid theory. To this end, we derive an exact expression for the Landau parameters…

### Local magnetic moment formation and Kondo screening in the half-filled single-band Hubbard model

- PhysicsPhysical Review B
- 2022

We study the formation of local magnetic moments in the strongly correlated Hubbard model within dynamical mean-field theory and associate peculiarities of the temperature dependence of local charge…

### Bad-Metal Behavior Reveals Mott Quantum Criticality in Doped Hubbard Models.

- PhysicsPhysical review letters
- 2015

It is shown that for the doped Mott insulator regime, the coexistence dome and the associated first-order Mott metal-insulator transition are confined to extremely low temperatures, while clear signatures of Mott quantum criticality emerge across much of the phase diagram.

### Local magnetic moment formation and Kondo screening in the half filled two dimensional single band Hubbard model

- Physics
- 2021

We study formation of local magnetic moments in strongly correlated Hubbard model within dynamical mean field theory and associate peculiarities of temperature dependence of local charge χc and spin…

### Generic susceptibilities of the half-filled Hubbard model in infinite dimensions

- Physics
- 2009

(Dated: April 3, 2009)Around a metal-to-insulator transition driven by repulsive interaction (Mott transition) the singleparticle excitations and the collective excitations are equally important.…

### Magnetic fluctuations and effective magnetic moments in γ-iron due to electronic structure peculiarities

- Physics
- 2013

Applying the local density and dynamical mean field approximations to paramagnetic γ-iron we revisit the problem of the theoretical description of its magnetic properties in a wide temperature range.…

### Spin dynamics of itinerant electrons: Local magnetic moment formation and Berry phase

- Physics
- 2022

The state-of-the-art theoretical description of magnetic materials relies on solving e ﬀ ective Heisenberg spin problems or their generalizations to relativistic or multi-spin-interaction cases that…

### Dynamical vertex approximation for many-electron systems with spontaneously broken SU(2) symmetry

- PhysicsPhysical Review B
- 2021

We generalize the formalism of the dynamical vertex approximation (D$\Gamma$A) -- a diagrammatic extension of the dynamical mean-field theory (DMFT)-- to treat magnetically ordered phases. To this…

### Bethe-Salpeter Equation at the Critical End Point of the Mott Transition.

- PhysicsPhysical review letters
- 2020

It is shown that the relevant eigenvalue and eigenvector of the nonlocal Bethe-Salpeter kernel in the charge channel provide a unified picture of the hysteresis region and of the critical end point of the Mott transition on the DMFT's two-particle level.

### Spin freezing transition and non-Fermi-liquid self-energy in a three-orbital model.

- PhysicsPhysical review letters
- 2008

A single-site dynamical mean-field study of a three band model with the rotationally invariant interactions appropriate to the t_(2g) levels of a transition metal oxide reveals a quantum phase…