Correlations in fully-spin-polarized liquid sup 3 He: Ladders, rings, and the particle-hole irreducible interaction

Journal Article · Fri Nov 01 04:00:00 EST 1991 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.44.10239· OSTI ID:6029211

Clements, B E; Greeff, C W ^[1]; Glyde, H R ^[2]

---

1. Department of Physics, University of Delaware, Newark, Delaware (USA)
2. Department of Physics, University of Alberta, Edmonton, Alberta (Canada)

We investigate the relative contribution of ladder and ring diagrams to the single-particle self-energy in fully-spin-polarized liquid {sup 3}He ({sup 3}He{sup {up arrow}}). Ladder diagrams are summed to all orders of the bare {sup 3}He-{sup 3}He interaction using the Galitskii-Feynman-Hartree-Fock (GFHF) analysis. Previous studies of {sup 3}He{sup {up arrow}}, using GFHF analysis, have neglected the part of the GFHF self-energy coming from the correlation potential, {ital V}{sub co}. These calculations produced ground-state energies in fair agreement with values obtained from variational Monte Carlo (VMC) calculations. However, properties such as Landau parameters, which are directly related to long-range correlations, tend to differ considerably from known values. In the present work we have evaluated {ital V}{sub co} and found it to have an appreciable effect on the single-particle excitation energies, {var epsilon}({ital k}) and the ground-state energy: Including {ital V}{sub co} significantly reduces the ground-state energy. As a further refinement over previous GFHF calculations, we have used a more accurate center-of-mass momentum, {ital P}, dependence for the Galitskii-Feynman {ital t} matrix in the self-energy calculation. Again we find an undesirably large decrease in the ground-state energy. Finally, upon including a contribution from a summation of ring diagrams, we find a ground-state energy that is once again in fair agreement with the VMC values. The ring diagrams are driven by a local particle-hole interaction obtained by the method of correlated basis functions (CBF). Ring diagrams are then summed within a random-phase approximation. Our final {var epsilon}({ital k}) is used to calculate the particle-hole irreducible interaction {ital I}{sub {ital p}-{ital h}}.

• DOE Contract Number: FG02-84ER45082
• OSTI ID: 6029211
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 44:18; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

665420* -- Superfluidity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATIONS
ENERGY
ENERGY LEVELS
EVEN-ODD NUCLEI
FERMI GAS
FLUIDS
GASES
GROUND STATES
HELIUM 3
HELIUM ISOTOPES
HOLES
ISOTOPES
LADDER APPROXIMATION
LIGHT NUCLEI
LIQUIDS
NUCLEI
ORIENTATION
SELF-ENERGY
SPIN ORIENTATION
STABLE ISOTOPES