Chaos in Fermionic Many-Body Systems and the Metal-Insulator Transition TeX Export

@article{citeulike:6058473, abstract = {We show that finite Fermi systems governed by a mean field and a few-body interaction generically possess spectral fluctuations of the Wigner-Dyson type and are thus chaotic. Our proof is based on an analogy to the metal-insulator transition. We construct a sparse random-matrix ensemble \$H^{\rm cr}\$ that mimicks that transition. Our claim then follows from the fact that the generic random-matrix ensemble modeling a fermionic interacting many-body is much less sparse than \$H^{\rm cr}\$.}, archivePrefix = {arXiv}, author = {Pluhar, Z. and Weidenmueller, H. A. and Papenbrock, T. and Tithof, J.}, citeulike-article-id = {6058473}, citeulike-linkout-0 = {http://arxiv.org/abs/0911.0316}, citeulike-linkout-1 = {http://arxiv.org/pdf/0911.0316}, day = {2}, eprint = {0911.0316}, keywords = {many-body\_systems, metal\_insulator\_transition, rmt\_applications}, month = {Nov}, posted-at = {2009-11-03 07:40:55}, priority = {2}, title = {Chaos in Fermionic Many-Body Systems and the Metal-Insulator Transition}, url = {http://arxiv.org/abs/0911.0316}, year = {2009} }

TY - JOUR ID - citeulike:6058473 L3 - citeulike-article-id:6058473 N2 - We show that finite Fermi systems governed by a mean field and a few-body interaction generically possess spectral fluctuations of the Wigner-Dyson type and are thus chaotic. Our proof is based on an analogy to the metal-insulator transition. We construct a sparse random-matrix ensemble $H^{\rm cr}$ that mimicks that transition. Our claim then follows from the fact that the generic random-matrix ensemble modeling a fermionic interacting many-body is much less sparse than $H^{\rm cr}$. TI - Chaos in Fermionic Many-Body Systems and the Metal-Insulator Transition KW - many-body_systems KW - metal_insulator_transition KW - rmt_applications AU - Pluhar, Z AU - Weidenmueller, HA AU - Papenbrock, T AU - Tithof, J PY - 2009/Nov/02/ UR - http://arxiv.org/abs/0911.0316 ER -