2009/06/30 by Nabyendu Das, NABYENDU DAS · 4 citations
Materials Science · Physics and Astronomy · #Chemical and Physical Properties of Materials #Coupling (piping) #Critical point (mathematics) #Curse of dimensionality #Electronic and Structural Properties of Oxides #Phase transition #Quantum #Quantum critical point #Quantum phase transition #Renormalization #Renormalization group #Theoretical and Computational Physics #Transition point #cond-mat.mtrl-sci #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1142/s0217979213500288
published in International Journal of Modern Physics B 27(08), 1350028 (World Scientific) · Revised version
arxiv created 2012/07/27 · openalex publication_date 2013/03/04 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Here a recently observed weak first order transition in doped SrTiO 3 [Taniguchi, Itoh and Yagi, Phys. Rev. Lett.99, 017602 (2007)] is argued to be a consequence of the coupling between strain and order parameter fluctuations. Starting with a semi-microscopic action, and using renormalization group equations for vertices, we write the free energy of such a system. This fluctuation renormalized free energy is then used to discuss the possibility of first order transition at zero temperature as well as at finite temperature. An asymptotic analysis predicts small but a finite discontinuity in the order parameter near a mean field quantum critical point at zero temperature. In case of finite temperature transition, near quantum critical point such a possibility is found to be extremely weak. Results are in accord with some experimental findings on quantum paraelectrics such as SrTiO 3 and KTaO 3 .