Density-matrix renormalization study of the frustrated fermions on the triangular lattice

Abstract

We show that the two-dimensional density-matrix renormalization analysis is useful to detect the symmetry breaking in the fermionic model on a triangular lattice. Under the cylindrical boundary conditions with chemical potentials on edge sites, we find that the open edges work as perturbation to select the strongest correlations {\it only in the presence of a long range order}. We also demonstrate that the ordinary size scaling analysis on the charge gap as well as that of the local charge density under this boundary condition could determine the metal-insulator phase boundary, which scales almost perfectly with the density of states and the exact solutions in the weak and strong coupling region, respectively.

5 pages, 7 figures

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• Photo-Induced Dynamics in Charge-Frustrated Systems
• Spontaneous time-reversal symmetry breaking for spinless fermions on a triangular lattice
• Entanglement spectrum as a marker for phase transitions in the density embedding theory for interacting spinless fermionic models
• Ground state and spectral properties across a Charge Density Wave transition in a triangular-lattice spinless Fermion model