Mott Transition in Quasi-One-Dimensional Systems

Abstract

We report the application of the density-matrix renormalization group method to a spatially anisotropic two-dimensional Hubbard model at half-filling. We find a deconfinement transition induced by the transverse hopping parameter $t_y$ from an insulator to a metal. Therefore, if $t_y$ is fixed in the metallic phase, increasing the interaction $U$ leads to a metal-to-insulator transition at a finite critical $U$. This is in contrast to the weak-coupling Hartree-Fock theory which predicts a nesting induced antiferromagnetic insulator for any $U>0$.

4 pages, 3 figures

References in corpus (3)

• Cluster Dynamical Mean Field Theory of the Mott Transition
• Quantum Monte Carlo study of the two-dimensional fermion Hubbard Model
• Pseudogap and Mott Transition Studied by Cellular Dynamical Mean Field Theory

Cited by in corpus (10)

• Quenching the Haldane gap in spin-1 Heisenberg antiferromagnets
• Characterizing the Haldane phase in quasi-one-dimensional spin-1 Heisenberg antiferromagnets
• Spinon confinement: dynamics of weakly coupled Hubbard chains
• Dimensional-crossover-driven Mott transition in the frustrated Hubbard model
• On the universality class of the Mott transition in two dimensions
• One dimensionalization in the spin-1 Heisenberg model on the anisotropic triangular lattice
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• Stripe order and magnetic anisotropy in the $S=1$ antiferromagnet BaMoP${}_2$O${}_8$
• Phase diagram of spin-$1$ chains with Dzyaloshinskii-Moriya interaction
• Detecting underlying symmetry-protected topological phases via strange correlators and edge engineering