Sauri Bhattacharyya

Sauri Bhattacharyya
Technion - Israel Institute of Technology | technion · Department of Physics

About

11
Publications
1,309
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6
Citations
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.
Additional affiliations
August 2014 - December 2020
Harish-Chandra Research Institute
Position
  • PhD Student

Publications

Publications (11)
Article
Full-text available
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...
Preprint
Full-text available
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...
Article
Full-text available
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...
Preprint
Full-text available
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...
Article
Full-text available
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...
Article
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...
Preprint
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...
Preprint
Full-text available
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...
Preprint
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...
Article
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)
Question
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...
Question
In metals, this type of 'spin-flip' scattering reduces the conductivity, contrary to the present case.

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Projects

Project (1)
Project
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.