We demonstrate theoretically how, by imposing epitaxial strain in a ferroelectric perovskite, it is possible to achieve a dynamical control of phonon propagation by means of external electric fields, which yields a giant electrophononic response, i.e. the dependence of the lattice thermal conductivity on external electric fields. Specifically, we study the strain-induced manipulation of the lattice structure and analyze its interplay with the electrophononic response. We show that tensile biaxial strain can drive the system to a regime where the electrical polarization can be effortlessly rotated and thus yield giant electrophononic responses that are at least one order of magnitude larger than in the unstrained system. These results derive directly from the almost divergent behavior of the electrical susceptibility at those critical strains that drive the polarization on the verge of a spontaneous rotation.
PACS numbers:1 Heat in insulators and semiconductors is carried by phonons, the quanta of lattice vibrations, and the thermal conductivity is determined by the associated dissipative processes. The manipulation of phonons and the dynamical tuning of the thermal conductivity of a solid are problems of fundamental interest in condensed matter physics [1-3] and have important implications in renewable energy applications -such as vibrational energy harvesting [4], thermoelectricity [5] or electrocaloric cooling [6]-and for the implementation of a phonon-based logic, which relies on thermal diodes [7, 8] and transistors [9], and where information is transmitted and processed by heat carriers.Ferroelectric materials favor a spontaneous lattice distortion, below a critical temperature, which has an associated dipole moment that can be controlled with an external electric field. Therefore, they are the ideal playground to explore phonon manipulation, because the modifications of the lattice structure translate directly into changes of the vibrational properties and thus of the thermal conductivity. The polarization, P, can be selectively oriented, for instance, creating neighboring regions separated by domain walls, which may act as phonon scatterers or filters [10,11]. More generally, an electric field can strengthen or weaken P, when it is parallel to it, or partially rotate it, when it has a component perpendicular to it [12][13][14]. This electrophononic effect, whereby an electric field is used to tune the thermal conductivity via a controlled modification of the crystal lattice, paves the way toward an all-electrical control of the heat flux.The temperature-and field-dependent thermal conductivity, κ, can be written as a second-order expansion in terms of the thermal-response tensors α and β aswhere i, j, k, and l are the spatial directions x, y, and z and κ 0 is the conductivity at zero applied field. The physical mechanisms that lead to a coupling between E and κ are different for fields parallel or perpendicular to P. As shown in Ref. 12 by some of us, in the former case the applied field results in a harde...