# Semiclassical dynamics of spin density waves

@article{Chern2018SemiclassicalDO, title={Semiclassical dynamics of spin density waves}, author={Gia-Wei Chern and Kipton Barros and Zhentao Wang and Hidemaro Suwa and Cristian D. Batista}, journal={Physical Review B}, year={2018}, volume={97}, pages={035120} }

We present a theoretical framework for equilibrium and nonequilibrium dynamical simulation of quantum states with spin-density-wave (SDW) order. Within a semiclassical adiabatic approximation that retains electron degrees of freedom, we demonstrate that the SDW order parameter obeys a generalized Landau-Lifshitz equation. With the aid of an enhanced kernel polynomial method, our linear-scaling quantum Landau-Lifshitz dynamics (QLLD) method enables dynamical SDW simulations with $N \simeq 10^5… Expand

#### 14 Citations

Nonequilibrium dynamics of superconductivity in the attractive Hubbard model

- Physics
- Physical Review B
- 2019

We present a framework of semiclassical superconductivity (SC) dynamics that properly includes effects of spatial fluctuations for the attractive Hubbard model. We consider both coherent and… Expand

Langevin approach to lattice dynamics in a charge-ordered polaronic system

- Physics
- Physical Review B
- 2019

We use a Langevin approach to treat the finite temperature dynamics of displacement variables in the half-filled spinless Holstein model. Working in the adiabatic regime we exploit the smallness of… Expand

Dynamics of the Phase Separated States in the Double Exchange Model

- Physics
- 2019

We present extensive large-scale dynamical simulations of phase-separated states in the double exchange model. These inhomogeneous electronic states that play a crucial role in the colossal… Expand

Strongly anharmonic collective modes in a coupled electron-phonon-spin problem

- Physics
- 2019

We solve for the finite temperature collective mode dynamics in the Holstein-double exchange problem, using coupled Langevin equations for the phonon and spin variables. We present results in a… Expand

Machine learning dynamics of phase separation in correlated electron magnets

- Physics, Computer Science
- ArXiv
- 2020

This work paves the way for large-scale dynamical simulations of correlated electron systems using machine-learning models and shows that linear-scaling exchange field computation can be achieved using neural networks trained by datasets from exact calculation on small lattices. Expand

Kinetics of thermal Mott transitions in the Hubbard model

- Physics
- 2019

We present the first-ever microscopic dynamical simulation of the temperature-controlled Mott metal-insulator transition in the Hubbard model. By combining the efficient Gutzwiller method with… Expand

Effect of magnetic anisotropy on skyrmions with a high topological number in itinerant magnets

- Physics
- Physical Review B
- 2019

We report our numerical results for the effect of magnetic anisotropy on a Skyrmion crystal with a high topological number of two, which was recently discovered in an itinerant electron model [R.… Expand

Anomalous magnetoresistance due to longitudinal spin fluctuations in a Jeff = 1/2 Mott semiconductor

- Physics, Medicine
- Nature Communications
- 2019

A positive anomalous magnetoresistance is observed in a SrIrO3/SrTiO3 superlattice, indicative of strong spin-charge fluctuations in this pseudospin-half square-lattices Mott insulator. Expand

Ultrafast reorientation of the N\'eel vector in antiferromagnetic Dirac semimetals.

- Physics
- 2020

Antiferromagnets exhibit distinctive characteristics such as ultrafast dynamics and robustness against perturbative fields, thereby attracting considerable interest in fundamental physics and… Expand

Gradient-based stochastic estimation of the density matrix

- Physics
- 2017

Fast estimation of the single-particle density matrix is key to many applications in quantum chemistry and condensed matter physics. The best numerical methods leverage the fact that the density… Expand

#### References

SHOWING 1-10 OF 105 REFERENCES

Longitudinal magnetic fluctuations in Langevin spin dynamics

- Physics
- 2012

We develop a generalized Langevin spin dynamics (GLSD) algorithm where both the longitudinal and transverse (rotational) degrees of freedom of atomic magnetic moments are treated as dynamic… Expand

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions

- Physics
- 1996

We review the dynamical mean-field theory of strongly correlated electron systems which is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.… Expand

Spin density waves in the Hubbard model: A DMFT approach

- Physics
- 2014

We analyze spin density waves (SDWs) in the Hubbard model on a square lattice within the framework of inhomogeneous dynamical mean field theory (iDMFT). Doping the half-filled Hubbard model results… Expand

Nonequilibrium dynamical mean-field theory and its applications

- Physics
- 2014

The study of nonequilibrium phenomena in correlated lattice systems has developed into one of the most active and exciting branches of condensed matter physics. This research field provides rich new… Expand

Dynamical structure factor of the triangular-lattice antiferromagnet

- Physics
- 2013

We elucidate the role of magnon interaction and spontaneous decays in the spin dynamics of the triangular-lattice Heisenberg antiferromagnet by calculating its dynamical structure factor within the… Expand

Spin-spin correlation functions for the square-lattice Heisenberg antiferromagnet at zero temperature.

- Physics, Medicine
- Physical review. B, Condensed matter
- 1993

The good agreement between the two formalisms reinforces the validity of spin-wave theory and the results with recent series-expansion estimates are compared. Expand

The density-matrix renormalization group

- Physics
- 2005

The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly correlated quantum systems based on a rather… Expand

Spin currents and spin dynamics in time-dependent density-functional theory.

- Physics, Medicine
- Physical review letters
- 2001

The equation of motion for the spin degrees of freedom within time-dependent spin-density-functional theory (TD-SDFT) is derived and a prescription for obtaining many-body corrections to the single-particle spin currents from the Kohn-Sham equation is obtained. Expand

Numerical study of the two-dimensional Hubbard model.

- Physics, Medicine
- Physical review. B, Condensed matter
- 1989

The results support the existence of long-range antiferromagnetic order in the ground state at half-Filling and its absence at quarter-filling and find evidence for an attractive effective /ital d/-wave pairing interaction near half- filling but have not found evidence for a phase transition to a superconducting state. Expand

Spin dynamics from time-dependent spin-density-functional theory.

- Physics, Medicine
- Physical review letters
- 2002

The spin-wave dynamics of a magnetic material is derived from the time-dependent spin-density-functional theory in the linear response regime and a gradient expansion scheme based on the homogeneous spin-polarized electron gas is proposed. Expand