%0 Generic %1 schneider2008metallic %A Schneider, U. %A Hackermuller, L. %A Will, S. %A Best, Th. %A Bloch, I. %A Costi, T. A. %A Helmes, R. W. %A Rasch, D. %A Rosch, A. %D 2008 %K thesis %R 10.1126/science.1165449 %T Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice %U http://arxiv.org/abs/0809.1464 %X The fermionic Hubbard model plays a fundamental role in the description of strongly correlated materials. Here we report on the realization of this Hamiltonian using a repulsively interacting spin mixture of ultracold $^40$K atoms in a 3D optical lattice. We have implemented a new method to directly measure the compressibility of the quantum gas in the trap using in-situ imaging and independent control of external confinement and lattice depth. Together with a comparison to ab-initio Dynamical Mean Field Theory calculations, we show how the system evolves for increasing confinement from a compressible dilute metal over a strongly-interacting Fermi liquid into a band insulating state. For strong interactions, we find evidence for an emergent incompressible Mott insulating phase.

@misc{schneider2008metallic, abstract = {The fermionic Hubbard model plays a fundamental role in the description of strongly correlated materials. Here we report on the realization of this Hamiltonian using a repulsively interacting spin mixture of ultracold $^{40}$K atoms in a 3D optical lattice. We have implemented a new method to directly measure the compressibility of the quantum gas in the trap using in-situ imaging and independent control of external confinement and lattice depth. Together with a comparison to ab-initio Dynamical Mean Field Theory calculations, we show how the system evolves for increasing confinement from a compressible dilute metal over a strongly-interacting Fermi liquid into a band insulating state. For strong interactions, we find evidence for an emergent incompressible Mott insulating phase.}, added-at = {2015-10-07T13:06:58.000+0200}, author = {Schneider, U. and Hackermuller, L. and Will, S. and Best, Th. and Bloch, I. and Costi, T. A. and Helmes, R. W. and Rasch, D. and Rosch, A.}, biburl = {https://www.bibsonomy.org/bibtex/2862a5d20ec5a3fda92eb7b64d49f0861/janphilipps}, description = {[0809.1464] Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice}, doi = {10.1126/science.1165449}, interhash = {9ca707c44a2f70c32e8f9511c90718f9}, intrahash = {862a5d20ec5a3fda92eb7b64d49f0861}, keywords = {thesis}, note = {cite arxiv:0809.1464Comment: 21 pages, 5 figures and additional supporting material}, timestamp = {2015-10-07T13:06:58.000+0200}, title = {Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice}, url = {http://arxiv.org/abs/0809.1464}, year = 2008 }