Two-dimensional shallow water models are widely used for flood risk assessment. Application of these to large-scale urban areas significantly increases the computational cost as it requires high-resolution simulations capture complex hydrodynamic processes. Hence, simplified that based on local-inertial formulations have been proposed by different researchers. Although successful in simulating ...

In a recent study [Phys. Rev. X 10, 021042 (2020)], we showed using large-scale density matrix renormalization group (DMRG) simulations on infinite cylinders that the triangular lattice Hubbard model has chiral spin liquid phase. this work, introduce hopping anisotropy in model, making one of three distinct bonds stronger or weaker compared with other two. We implement two inequivalent ways, wh...

We investigate the evolution of Mott insulators in triangular lattice Hubbard Model, as a function hole doping $\ensuremath{\delta}$ both strong and intermediate coupling limits. Using advanced density matrix renormalization group (DMRG) method, at light $\ensuremath{\delta}\ensuremath{\lesssim}10%$, we find significant difference between couplings. Notably, an unusual metallic state emerges, w...

We study the coupled-top model with three large spins located on a triangle. Depending coupling strength, there exist phases: disordered paramagnetic phase, ferromagnetic and frustrated antiferromagnetic which can be distinguished by mean-field approach. The paramagnetic-ferromagnetic phase transition is accompanied breaking of global $Z_2$ symmetry, whereas paramagnetic-antiferromagnetic both ...