6533b870fe1ef96bd12cf1be
RESEARCH PRODUCT
High-frequency vibrational density of states of a disordered solid.
Walter SchirmacherWalter SchirmacherWalter SchirmacherC. TomarasC. Tomarassubject
PhysicsInstantonYield (engineering)Condensed matter physicsFOS: Physical sciencesDisordered Systems and Neural Networks (cond-mat.dis-nn)TrappingCondensed Matter - Disordered Systems and Neural NetworksCondensed Matter PhysicsVibrational density of statesDensity of statesGeneral Materials ScienceElastic modulusElectronic systemsdescription
We investigate the high-frequency behavior of the density of vibrational states in three-dimensional elasticity theory with spatially fluctuating elastic moduli. At frequencies well above the mobility edge, instanton solutions yield an exponentially decaying density of states. The instanton solutions describe excitations, which become localized due to the disorder-induced fluctuations, which lower the sound velocity in a finite region compared to its average value. The exponentially decaying density of states (known in electronic systems as the Lifshitz tail) is governed by the statistics of a fluctuating-elasticity landscape, capable of trapping the vibrational excitations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-06-25 | Journal of physics. Condensed matter : an Institute of Physics journal |