6533b827fe1ef96bd1285d05

RESEARCH PRODUCT

Mott transitions in the half-filled SU(2M) symmetric Hubbard model

E. V. GorelikN. Blümer

subject

PhysicsCondensed Matter::Quantum GasesScaling lawHubbard modelStrongly Correlated Electrons (cond-mat.str-el)Quantum Monte CarloFOS: Physical sciencesCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsParamagnetismCondensed Matter - Strongly Correlated ElectronsMultigrid methodQuantum Gases (cond-mat.quant-gas)Quantum mechanicsCondensed Matter::Strongly Correlated ElectronsDegeneracy (mathematics)Condensed Matter - Quantum GasesSpecial unitary group

description

The Hubbard model with large orbital degeneracy has recently gained relevance in the context of ultracold earth alkali like atoms. We compute its static properties in the SU(2M) symmetric limit for up to M=8 bands at half filling within dynamical mean-field theory, using the numerically exact multigrid Hirsch-Fye quantum Monte Carlo approach. Based on this unbiased data, we establish scaling laws which predict the phase boundaries of the paramagnetic Mott metal-insulator transition at arbitrary orbital degeneracy M with high accuracy.

https://dx.doi.org/10.48550/arxiv.1212.4485