# Two-particle response in cluster dynamical mean-field theory: formalism and application to the Raman response of high-temperature superconductors.

@article{Lin2012TwoparticleRI, title={Two-particle response in cluster dynamical mean-field theory: formalism and application to the Raman response of high-temperature superconductors.}, author={Nansheng Lin and Emanuel Gull and Andrew J. Millis}, journal={Physical review letters}, year={2012}, volume={109 10}, pages={ 106401 } }

A method is presented for the unbiased numerical computation of two-particle response functions of correlated electron materials via a solution of the dynamical mean-field equations in the presence of a perturbing field. The power of the method is demonstrated via a computation of the Raman B(1g) and B(2g) scattering intensities of the two-dimensional Hubbard model in parameter regimes believed to be relevant to high-temperature superconductivity. The theory reproduces the "two-magnon" peak…

## 29 Citations

Divergent precursors of the Mott-Hubbard transition at the two-particle level.

- Physics, MedicinePhysical review letters
- 2013

Dynamical mean-field calculations demonstrate that the first nonperturbative precursors of the Mott physics are unambiguously identified well inside the metallic regime by the divergence of the local Bethe-Salpeter equation in the charge channel.

d-wave superconductivity in the frustrated two-dimensional periodic Anderson model

- Physics
- 2014

Superconductivity in heavy-fermion materials can sometimes appear in the incoherent regime and in proximity to an antiferromagnetic quantum critical point. Here we study these phenomena using large…

Local Electronic Correlation at the Two-Particle Level

- Physics
- 2012

Electronic-correlated systems are often well described by dynamical mean field theory (DMFT). While DMFT studies have mainly focused hitherto on one-particle properties, valuable information is also…

Electronic correlations at the two-particle level

- 2013

The theoretical analysis of two-particle quantities for correlated electron systems is a valuable task. Not only can one compare some of these quantities directly to a large number of experiments…

Magnetic susceptibility and simulated neutron signal in the two-dimensional Hubbard model

- PhysicsPhysical Review B
- 2019

We compute dynamic spin susceptibilities in the two-dimensional Hubbard model using the method of Dual Fermions and provide comparison to lattice Monte Carlo and cluster dynamical mean field theory.…

Simulation of the NMR response in the pseudogap regime of the cuprates

- Physics, MedicineNature communications
- 2017

The temperature and doping evolution of these quantities on the two-dimensional Hubbard model using cluster dynamical mean field theory recovers the suppression of the Knight shift and the linear-in-T spin echo decay that increases with doping and suggests that the pseudogap is well described by strong short-range correlation effects.

Hubbard models on general lattices: a dynamical cluster approximation approach

- Physics
- 2016

The topic of this thesis is simulation of the Hubbard model on general lattices in strongly correlated regime. We approached the task with the dynamical cluster approximation (DCA), a cluster…

Multiorbital cluster dynamical mean-field theory with an improved continuous-time quantum Monte Carlo algorithm

- Physics
- 2014

We implement a multi-orbital cluster dynamical mean-field theory (DMFT), by improving a sample-update algorithm in the continuous-time quantum Monte Carlo method based on the interaction expansion.…

Conductivity in the Square Lattice Hubbard Model at High Temperatures: Importance of Vertex Corrections.

- Physics, MedicinePhysical review letters
- 2019

It is found that, at relevant (high) temperatures, the self-energy is practically local, yet the vertex corrections remain rather important, contrary to expectations.

Magnetic response of
Sr2RuO4
: Quasi-local spin fluctuations due to Hund's coupling

- PhysicsPhysical Review B
- 2019

We study the magnetic susceptibility in the normal state of Sr$_2$RuO$_4$ using dynamical mean-field theory including dynamical vertex corrections. Besides the well known incommensurate response, our…