%0 Book Section %1 statphys23_0283 %A Frahm, H. %A Broeer, J. %A Osterloh, A. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K ansatz bethe finite model size statphys23 supersymmetric topic-1 vertex %T Finite size spectrum of an alternating $sl(2|1)$ superspin chain %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=283 %X The critical properties at disorder-driven phase transitions in systems of 2d electrons can be analyzed in network models which are generated by certain 1d superspin chains. Here, we analyze the finite size spectrum of an integrable $sl(2|1)$ symmetric superspin chain based on a vertex model with alternating representations $3$ and $3$ which also arises in the description of the finite temperature properties of the supersymmetric $t$--$J$ model. In the zero charge sector the ground state is identified as a singlet for chains with the same number of the two different representations. The finite-size spectrum of low-lying excitations in this sector is characterized by a continuum of states with energies differing by $O(1/LL)$. In addition we present first results for some excitations with non-zero charge.

@incollection{statphys23_0283, abstract = {The critical properties at disorder-driven phase transitions in systems of 2d electrons can be analyzed in network models which are generated by certain 1d superspin chains. Here, we analyze the finite size spectrum of an \emph{integrable} $sl(2|1)$ symmetric superspin chain based on a vertex model with alternating representations $3$ and $\bar{3}$ which also arises in the description of the finite temperature properties of the supersymmetric $t$--$J$ model. In the zero charge sector the ground state is identified as a singlet for chains with the same number of the two different representations. The finite-size spectrum of low-lying excitations in this sector is characterized by a continuum of states with energies differing by $O(1/L\ln L)$. In addition we present first results for some excitations with non-zero charge.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Frahm, H. and Broeer, J. and Osterloh, A.}, biburl = {https://www.bibsonomy.org/bibtex/2aa9fc531cd6c02574dbff6deaceaf4da/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {c77a80a8f97c658e8f8b97c3f6135227}, intrahash = {aa9fc531cd6c02574dbff6deaceaf4da}, keywords = {ansatz bethe finite model size statphys23 supersymmetric topic-1 vertex}, month = {9-13 July}, timestamp = {2007-06-20T10:16:16.000+0200}, title = {Finite size spectrum of an alternating $sl(2|1)$ superspin chain}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=283}, year = 2007 }