Application of the Green's function diagrammatic technique to complex crystal field systems with bilinear and biquadratic exchange

Journal Article · Wed Mar 01 00:00:00 EST 1978 · J. Appl. Phys.; (United States)

DOI:https://doi.org/10.1063/1.324959· OSTI ID:5052098

Sablik, M J; Wang, Y

A diagrammatic Green's function technique is used to obtain the elementary excitations in a rare earth system with cubic crystal field and both bilinear and biquadratic couplings. We find three distinct modes of excitations: longitudinal (L) and transverse (T1 and T2). L modes and T1 modes consist of mixed dipolar and quadrupolar excitations below T/sub c/, but above T/sub c/ they are either pure dipolar or pure quadrupolar in character. The T2 modes are pure quadrupolar. Dispersion and temperature dependence of the exciton energies are shown for a particular model system, DySb, but the computer program used is general enough to be used on other systems whose molecular field states are known.

• Research Organization: Fairleigh Dickinson University, Teaneck, New Jersey 07666
• OSTI ID: 5052098
• Journal Information: J. Appl. Phys.; (United States), Vol. 49:3
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
ANTIMONY ALLOYS
CRYSTAL FIELD
DYSPROSIUM ALLOYS
HOLMIUM ALLOYS
BINARY ALLOY SYSTEMS
CRYSTAL-PHASE TRANSFORMATIONS
ELECTRONIC STRUCTURE
EXCHANGE INTERACTIONS
EXCITATION
EXCITONS
GREEN FUNCTION
PARAMAGNETISM
TEMPERATURE DEPENDENCE
ALLOY SYSTEMS
ALLOYS
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
INTERACTIONS
MAGNETISM
PHASE TRANSFORMATIONS
PNICTIDES
QUASI PARTICLES
RARE EARTH ALLOYS
360102* - Metals & Alloys- Structure & Phase Studies