6533b858fe1ef96bd12b5832

RESEARCH PRODUCT

Linear response in multipolar glasses

H. O. Carmesin

subject

PhysicsRandom fieldBilinear interpolationSecond moment of areaCondensed Matter PhysicsCondensed Matter::Disordered Systems and Neural NetworksElectronic Optical and Magnetic MaterialsCondensed Matter::Soft Condensed Mattersymbols.namesakeDistribution functionElectric fieldQuantum mechanicssymbolsGeneral Materials ScienceIsing modelStatistical physicsHamiltonian (quantum mechanics)Potts model

description

We consider the unified hamiltonian with a bilinear coupling, describing the Ising-, vector-, Potts-, octupolar-glass and other glasses [1, 2]. We systematically derive the response to a homogeneous tensor-field as well as the response to an inhomogeneous random tensor-field. We investigate the overlap distribution function and its first and second moment. In all these considerations, we recover the results of the Ising spin glass for sufficiently symmetric multipolar glasses, but we also obtain differnt results for less symmetric glasses.

https://doi.org/10.1007/bf01314277