# Sauri BhattacharyyaTechnion - Israel Institute of Technology | technion · Department of Physics

Sauri Bhattacharyya

## About

11

Publications

1,309

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6

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Introduction

I'm presently trying to understand the behaviour of the Hall coefficient in strongly correlated models, using a formula which expresses the former in terms of static susceptibilities.
In my doctoral thesis, I've used a real-time, Langevin dynamics based approach, non-perturbative in both interactions and temperature, to study the dynamics of phonons and magnons in minimal correlated models.

**Skills and Expertise**

Additional affiliations

August 2014 - December 2020

## Publications

Publications (11)

We study the equilibrium dynamics of magnetic moments in the Mott insulating phase of the Hubbard model on the square and triangular lattice. We rewrite the Hubbard interaction in terms of an auxiliary vector field and use a recently developed Langevin scheme to study its dynamics. A thermal noise, derivable approximately from the Keldysh formalism...

We study the equilibrium dynamics of magnetic moments in the Mott insulating phase of the Hubbard model on the square and triangular lattice. We rewrite the Hubbard interaction in terms of an auxiliary vector field and use a recently developed Langevin scheme to study its dynamics. A thermal `noise', derivable approximately from the Keldysh formali...

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 strongly anharmonic regime, close to a polaronic instability. For our parameter choice, the system transits from an undistorted ferromagnetic metal at low t...

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 strongly anharmonic regime, close to a polaronic instability. For our parameter choice the system transits from an `undistorted' ferromagnetic metal at low...

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 the adiabatic parameter to simplify the memory effects and estimate displacement costs from an “instantaneous” electronic Hamiltonian. We use a phenomen...

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 the adiabatic parameter to simplify the memory effects and estimate displacement costs from an “instantaneous” electronic Hamiltonian. We use a phenomen...

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 the adiabatic parameter to simplify the memory effects and estimate displacement costs from an "instantaneous" electronic Hamiltonian. We use a phenomen...

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 the adiabatic parameter to simplify the memory effects and estimate displacement costs from an "instantaneous" electronic Hamiltonian. We use a phenomen...

We investigate the dynamical structure factor associated with lattice fluctuations in a model that approximates the manganites. It involves electrons strongly coupled to core spins, and to lattice distortions, in a weakly disordered background. This model is solved in the adiabatic limit in two dimensions via Monte Carlo, retaining all the thermal...

We study the Holstein model on a square lattice across the polaronic crossover by using an adiabatic approximation to compute the lattice distorted backgrounds and a Gaussian expansion in dynamical modes to compute phonon spectral properties. We capture phonon dynamics from the perturbatively renormalised weak coupling end to the `polaron insulator...

## Questions

Questions (2)

The DMFT way of looking at Many-Body problems is essentially mapping the original theory to an equivalent Anderson Model, which can feature Kondo effect. These are vacuum tunneling phenomena...

In metals, this type of 'spin-flip' scattering reduces the conductivity, contrary to the present case.

## Projects

Project (1)

Characterization of bosonic fluctuations in correlated systems in presence of short-range order at finite density and temperature,
impact of the resulting dynamics on the electronic constituents.