The Spectrum of the two dimensional Hubbard model at low filling

Using group theoretical and numerical methods we have calculated the exact energy spectrum of the two-dimensional Hubbard model on square lattices with four electrons for a wide range of the interaction strength. All known symmetries, i.e.\ the full space group symmetry, the SU(2) spin symmetry, and, in case of a bipartite lattice, the SU(2) pseudospin symmetry, have been taken explicitly into account. But, quite remarkably, a large amount of residual degeneracies remains giving strong evidence for the existence of a yet unknown symmetry. The level spacing distribution and the spectral rigidity are found to be in close to but not exact agreement with random matrix theory. In contrast, the level velocity correlation function presents an unexpected exponential decay qualitatively different from random matrix behavior.Comment: 4 pages, latex (revtex), 3 uuencoded postscript figure

Dancing around the pole: holarctic phylogeography of the Arctic fairy shrimp Branchinecta paludosa (Anostraca, Branchiopoda)

The distributional patterns of Arctic species are commonly affected by the recurring Pleistocene glaciations, which contributed to transient or permanent genetic isolation. Here we explore the phylogeography of the climate-sensitive Arctic fairy shrimp Branchinecta paludosa, which has a circumpolar range of distribution, with certain southern alpine outreaches. We sequenced the mitochondrial cytochrome oxidase I subunit from samples collected at ten Nearctic and nine Palaearctic sites, including southern alpine populations. A handful of ambiguous bases in certain sequences strongly suggested heteroplasmy, possibly being reported for the first time in anostracans. Evolutionary analysis of the sequence variations showed a temporal divergence coinciding with the flooding of the Beringia land bridge. Sequence alignment with outgroup taxa for phylogenetic analysis showed three distinct major clades, reflecting geographical isolation. The most divergent clade, from isolated alpine ponds in the Rocky Mountains, probably represents a different and undescribed species. Two other major clades corresponded to the geographical areas of Nearctic and Palaearctic. Finally, the southern Palaearctic outstretch showed genetic separation, most likely representing a geographical and climatic isolated relict population.publishedVersio

Dynamic Response of Ising System to a Pulsed Field

The dynamical response to a pulsed magnetic field has been studied here both using Monte Carlo simulation and by solving numerically the meanfield dynamical equation of motion for the Ising model. The ratio R_p of the response magnetisation half-width to the width of the external field pulse has been observed to diverge and pulse susceptibility \chi_p (ratio of the response magnetisation peak height and the pulse height) gives a peak near the order-disorder transition temperature T_c (for the unperturbed system). The Monte Carlo results for Ising system on square lattice show that R_p diverges at T_c, with the exponent $\nu z \cong 2.0$, while \chi_p shows a peak at $T_c^e$, which is a function of the field pulse width $\delta t$. A finite size (in time) scaling analysis shows that $T_c^e = T_c + C (\delta t)^{-1/x}$, with $x = \nu z \cong 2.0$. The meanfield results show that both the divergence of R and the peak in \chi_p occur at the meanfield transition temperature, while the peak height in $\chi_p \sim (\delta t)^y$, $y \cong 1$ for small values of $\delta t$. These results also compare well with an approximate analytical solution of the meanfield equation of motion.Comment: Revtex, Eight encapsulated postscript figures, submitted to Phys. Rev.

Genetic diversity of the NE Atlantic sea urchin Strongylocentrotus droebachiensis unveils chaotic genetic patchiness possibly linked to local selective pressure

We compared the genetic differentiation in the green sea urchin Strongylocentrotus droebachiensis from discrete populations on the NE Atlantic coast. By using eight recently developed microsatellite markers, genetic structure was compared between populations from the Danish Strait in the south to the Barents Sea in the north (56–79°N). Urchins are spread by pelagic larvae and may be transported long distances by northwards-going ocean currents. Two main superimposed patterns were identified. The first showed a subtle but significant genetic differentiation from the southernmost to the northernmost of the studied populations and could be explained by an isolation by distance model. The second pattern included two coastal populations in mid-Norway (65°N), NH and NS, as well as the northernmost population of continental Norway (71°N) FV. They showed a high degree of differentiation from all other populations. The explanation to the second pattern is most likely chaotic genetic patchiness caused by introgression from another species, S. pallidus, into S. droebachiensis resulting from selective pressure. Ongoing sea urchin collapse and kelp forests recovery are observed in the area of NH, NS and FV populations. High gene flow between populations spanning more than 22° in latitude suggests a high risk of new grazing events to occur rapidly in the future if conditions for sea urchins are favourable. On the other hand, the possibility of hybridization in association with collapsing populations may be used as an early warning indicator for monitoring purposes.publishedVersio