On the universality class of the Mott transition in two dimensions

Abstract

We use the two-step density-matrix renormalization group method to elucidate the long-standing issue of the universality class of the Mott transition in the Hubbard model in two dimensions. We studied a spatially anisotropic two-dimensional Hubbard model with a non-perfectly nested Fermi surface at half-filling. We find that unlike the pure one-dimensional case where there is no metallic phase, the quasi one-dimensional modeldisplays a genuine metal-insulator transition at a finite value of the interaction. The critical exponent of the correlation length is found to be $\nu \approx 1.0$. This implies that the fermionic Mott transition, belongs to the universality class of the 2D Ising model. The Mott insulator is the 'ordered' phase whose order parameter is given by the density of singly occupied sites minus that of holes and doubly occupied sites.

9 pages, 8 figures

References in corpus (6)

• Cluster Dynamical Mean Field Theory of the Mott Transition
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Theory of a continuous Mott transition in two dimensions
• Finite temperature Mott transition in Hubbard model on anisotropic triangular lattice
• Pseudogap and Mott Transition Studied by Cellular Dynamical Mean Field Theory
• First order Mott transition at zero temperature in two dimensions: Variational plaquette study

Cited by in corpus (14)

• Quenching the Haldane gap in spin-1 Heisenberg antiferromagnets
• Characterizing the Haldane phase in quasi-one-dimensional spin-1 Heisenberg antiferromagnets
• Surface critical behaviors of coupled Haldane chains
• Exact Lorentz-violating all-loop ultraviolet divergences in scalar field theories
• Robustness of the O($N$) universality class
• Renormalization group approach for Lorentz-violating scalar field theory at all loop orders
• Nature of continuous phase transitions in interacting topological insulators
• All-loop order critical exponents for massless scalar field theory with Lorentz violation in the BPHZ method
• Diffeomorphism symmetry effect on the O(N ) universality class
• Phase diagram of spin-$1$ chains with Dzyaloshinskii-Moriya interaction
• Unconventional minimal subtraction and Callan-Symanzik methods for Lorentz-violating scalar field theories at all loop orders
• Influence of conformal symmetry on the amplitude ratios for O($N$) models
• NLO critical exponents of O($N$) lambda ${\varphi }^4$ scalar field theories in curved spacetime
• The behavior of the entanglement entropy in interacting quasi-1D systems and its consequences for their efficient numerical study