Using Path Integral Monte Carlo and the Maximum Entropy method, we calculate the dynamic structure factor of solid 3 He in the bcc phase at a finite temperature of T = 1.6 K and a molar volume of 21.5 cm 3 . From the single phonon dynamic structure factor, we obtain both the longitudinal and transverse phonon branches along the main crystalline directions, [001], [011] and [111]. Our results are compared with other theoretical predictions and available experimental data.Keywords quantum solid · Path Integral Monte Carlo · Maximum Entropy method · phonon spectrum · solid helium PACS 67.80.-s · 05.10.Ln · 63.20.Dj
IntroductionThe two isotopes of solid helium, 3 He and 4 He, are the most prominent examples of quantum solids [2,3]. These isotopes display highly anharmonic dynamics: their atoms are strongly correlated, loosely bound and make large excursions to the nearest neighbor sites. The effects are especially significant in the bcc phase of solid helium.