Concentration Dependence of the Effective Mass of3HeAtoms in3He

Abstract

Recent measurements by Yorozu et al. (S. Yorozu, H. Fukuyama, and H. Ishimoto, Phys. Rev. B 48, 9660 (1993)) as well as by Simons and Mueller (R. Simons and R. M. Mueller, Czhechoslowak Journal of Physics Suppl. 46, 201 (1976)) have determined the effective mass of 3 He atoms in a 3 He-4 He-mixture with great accuracy. We here report theoretical calculations for the dependence of that effective mass on the 3 He concentration. Using correlated basis functions perturbation theory to infinite order to compute effective interactions in the appropriate channels, we obtain good agreement between theory and experiment.

Quantum Monte Carlo study of static properties of one3Heatom in superfluid4He

“…10 The 3 He effective mass plays a relevant role in the study of 3 He-4 He mixtures characterizing the 3 He excitations at low momenta. In a DMC calculation, the impurity effective mass can be obtained from the diffusion coefficient of the impurity in imaginary time 12…”

“…The results obtained with this approach reproduces the energetic and struc-tural properties of the system with a good accuracy but the impurity effective mass appears slightly underestimated. 10 The application of Monte Carlo methods, both variational 11 and ab initio, 12 to the impurity system in order to calculate a basic property as the chemical potential of the impurity in the bulk (µ I ), has been seriously hindered by the fact that µ I results from the difference of two energy terms of order N, N being the number of particles.…”

Lineshape of rotational spectrum of CO in He4 droplets

“…Since the correlated basis function theory is generally applicable to weakly or strongly correlated quantum systems, and, in particular, to impurities in such systems, [35][36][37][38][39] we expect that this result may be more general, and applicable to other finite systems, e.g., to quantum dots with a large size dispersion. The general result is that the inhomogeneous spectrum of a single particle excitation coupled to discrete collective excitations of a small system is Lorentzian, provided that there is a sufficient statistical spread of system sizes to cover a full resonance.…”

Fermi liquid theory applied to vibrating wire measurements inHe3-He4Virtanen1, Thuneberg2 2011Phys. Rev. B3000View full textAdd to dashboardCite

“…The effective mass m * is calculated using the interpolation formula by Krotscheck et al 29,30 As a starting point, the zero concentration limit effective mass (so-called hydrodynamic mass) m H is needed. We have used two alternative values: m H /m 3 = 2.15 based on extrapolation of the data by Simons et al 31 following Krotscheck et al, 29 Table I.…”