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A. Panda

Publications and source records attributed to A. Panda.

4 recordsLinked to original sources

Strain-Induced Metal-to-Insulator Transition in Antiferromagnetic SrCrO$_3$ Thin Films

Antiferromagnetic (AF) metals are rare, yet they combine properties attractive for spintronic devices like robustness against stray fields and electrical readout. Among AF metal oxide candidates, SrCrO$_3$ remains largely unexplored due to its notoriously difficult synthesis. In this paper, we demonstrate the growth of high-quality SrCrO$_3$ thin films by magnetron sputtering on substrates that impose a wide range of tensile and compressive strains. Muon spin relaxation experiments, supported by x-ray magnetic dichroism, unveil the emergence of an AF phase with dilute magnetic disorder at low temperatures, while resistivity measurements confirm the simultaneous metallic ground state of SrCrO$_3$ under low strain. As both compressive and tensile strain increase, a metal-to-insulator transition is induced in the films, while the onset of the magnetic transition temperature remains unchanged. Moreover, an intriguing resistivity upturn, accompanied by a change in the dominant charge-carrier type, occurs at a temperature that correlates with strain. These observations suggest a complex strain-dependent band structure, with strain-induced Jahn-Teller distortions or tilting of the CrO$_6$ octahedra that emerge depending on the sign of the strain, as inferred from density functional theory calculations.

cond-mat.mtrl-sci

Multiplicity of solutions to an elliptic problem with singularity and measure data

In this paper, we prove the existence of multiple nontrivial solutions of the following equation. \begin{align*} \begin{split} -Δ_{p}u & = \fracλ{u^γ}+g(u)+μ~\mbox{in}\,\,Ω, u & = 0\,\, \mbox{on}\,\, \partialΩ, u&>0 \,\,\mbox{in}\,\,Ω, \end{split} \end{align*} where $Ω\subset \mathbb{R}^N$ is a smooth bounded domain with $N \geq 3$, $1 < p-1 < q$ , $ λ>0$, $γ>0$, $g$ satisfies certain conditions, $μ\geq 0$ is a bounded Radon measure.

math.AP

Elliptic Partial Differential Equation Involving a Singularity and a Radon measure

The aim of this paper is to prove the existence of solution for a partial differential equation involving a singularity with a general nonnegative, Radon measure $μ$ as its nonhomogenous term which is given as \begin{eqnarray} -Δu&=& f(x)h(u)+μ~\text{in}~Ω,\nonumber u&=&0~\text{on}~\partialΩ,\nonumber u&>& 0~\text{on}~Ω\nonumber, \end{eqnarray} where $Ω$ is a bounded domain of $\mathbb{R}^N$, $f$ is a nonnegative function over $Ω$.

math.AP