Strain and ferroelectric soft mode induced superconductivity in strontium titanate

Abstract

We investigate the effects of strain on superconductivity with particular reference to SrTiO${}_3$. Assuming that a ferroelectric mode that softens under tensile strain is responsible for the coupling, an increase in the critical temperature and range of carrier densities for superconductivity is predicted, while the peak of the superconducting dome shifts towards lower carrier densities. Using a Ginzburg-Landau approach in 2D, we find a linear dependence of the critical temperature on strain: if the couplings between the order parameter and strains in different directions differ while their sum is fixed, different behaviours under uniaxial and biaxial (uniform) strain can be understood.

5 + 3 pages; 3 + 2 figures

References in corpus (3)

• Restoring the density-gradient expansion for exchange in solids and surfaces
• Generalized gradient approximation for solids and their surfaces
• A ferroelectric quantum phase transition inside the superconducting dome of Sr${}_{1-x}$Ca${}_x$TiO${}_{3-\delta }$

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• Geometric Induction in Chiral Superfluids
• Theoretical investigation of twin boundaries in WO${}_3$: Structure, properties and implications for superconductivity
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• A local maximum in the superconducting transition temperature of Nb-doped strontium titanate under uniaxial compressive stress
• Ferroelectricity-induced multiorbital odd-frequency superconductivity in SrTiO${}_3$
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• Superconductivity in tin telluride films grown by molecular beam epitaxy
• Understanding the onset of negative electronic compressibility in one- and two-band 2D electron gases: Application to LaAlO${}_3$/SrTiO${}_3$
• A large modulation of electron-phonon coupling and an emergent superconducting dome in doped strong ferroelectrics
• Strain-engineered interaction of quantum polar and superconducting phases