RECURSIVE APPROACHES TO THE ANALYSIS OF SHORT-RANGE DISORDED SYSTEMS IN THE LOW-TEMPERATURE REGIME

Extensions of transfer-matrix methods are presented for reconstructing the complete set of low-energy states for finite-size short-range dis crete-spin lattice models, allowing accurate low-temperature calculati ons on lattices of small size, unhindered by equilibration problems. A version that reconstructs every ground state is applied to calculate the order-parameter distribution at T=0 for the three-dimensional near est-neighbor +/-J Ising spin glass on lattice sizes up to 4(3). The me thods can also be applied to a number of problems in chemistry and bio logy, especially the study of macromolecular structure.