Modulated honeycomb lattices and their magnetic properties

### Dataset Overview This archive contains dataset for figures of the article titled: **"Modulated honeycomb lattices and their magnetic properties"** Each subdirectory corresponds to a figure in the paper. CSV files containing raw data. --- #### ./dos-1.2 - gold-1.2.csv DOS as a function of energy in the golden-mean tiling with $ r_t=1.2 $ - silver-1.2.csv DOS as a function of energy in the silver-mean tiling with $ r_t=1.2 $ - bronze-1.2.csv DOS as a function of energy in the bronze-mean tiling with $ r_t=1.2 $ - 4th-1.2.csv DOS as a function of energy in the 4th metallic-mean tiling with $ r_t=1.2 $ - 5th-1.2.csv DOS as a function of energy in the 5th metallic-mean tiling with $ r_t=1.2 $ - disorder-gold.csv DOS as a function of energy in the disordered system with $ r_t=1.2$ and $ r_b=\tau_1$ - disorder-silver.csv DOS as a function of energy in the disordered system with $ r_t=1.2$ and $ r_b=\tau_2$ - disorder-bronze.csv DOS as a function of energy in the disordered system with $ r_t=1.2$ and $ r_b=\tau_3$ - disorder-4th.csv DOS as a function of energy in the disordered system with $ r_t=1.2$ and $ r_b=\tau_4$ - disorder-5th.csv DOS as a function of energy in the disordered system with $ r_t=1.2$ and $ r_b=\tau_5$ Description: This figure shows DOS for the tight-binding model on metallic-mean tilings and DOS for the tight-binding model with randomly-distributed hoppings #### ./dos-gold - DOS-0.8.csv DOS as a function of energy when $ r_t=0.8$ - DOS-0.9.csv DOS as a function of energy when $ r_t=0.9$ - DOS-1.0.csv DOS as a function of energy when $ r_t=1.0$ - DOS-1.1.csv DOS as a function of energy when $ r_t=1.1$ - DOS-1.2.csv DOS as a function of energy when $ r_t=1.2$ - DOS-1.5.csv DOS as a function of energy when $ r_t=1.5$ - DOS-1.8.csv DOS as a function of energy when $ r_t=1.8$ - DOS-2.0.csv DOS as a function of energy when $ r_t=2.0$ Description: This figure shows DOS for the tight-binding model on the golden-mean tiling with several $ r_t$ #### ./MF-2 - distribution.csv 3D data for the magnetization profile ($ U/t_S, m, $ weight) - mag-dist-3.csv cross-section of the magnetization profile when $ U/t_S=3$ - stg.csv average magnetization as a function of interaction Description: This figure shows density plot of local magnetization and its cross-section in the Hubbard model on the golden-mean tiling with $ r_t=2$ #### ./MF-2-disorder - distribution.csv 3D data for the magnetization profile ($ U/t_S, m,$ weight) - mag-dist-3.csv cross-section of the magnetization profile when $ U/t_S=3$ - mag-dist-6.csv cross-section of the magnetization profile when $ U/t_S=6$ - stg.csv average magnetization as a function of interaction Description: This figure shows density plot of local magnetization and its cross-section in the Hubbard model with randomly-disordered hopping with $ r_t=2 $ and $ r_b=\tau_1 $ #### ./PD - PD.csv critical point as a function of the ratio $ r_t $ in the golden-mean tiling - PD-dis.csv critical point as a function of the ratio $ r_t $ in the disordered system Description: This figure shows the phase diagram of the Hubbard model on the golden-mean tiling and the disordered system #### ./perp-U3 - mag-perp.csv 5D data for the magnetization profile ($\tilde{x}, \tilde{y}, x^{\perp}, y^{\perp}, m$) Description: This figure shows magnetization profile in the perpendicular space for the Hubbard model on the golden-mean tiling with $ U/t_S=3 $ and $ r_t=2 $ #### ./silver - distribution.csv 3D data for the magnetization profile ($ U/t_S, m,$ weight) - stg.csv average magnetization as a function of interaction Description: This figure shows density plot of local magnetization in the Hubbard model on the silver-mean tiling with $ r_t=2$ #### ./slope - Figa-slope.csv slope as a function of $ r_t $ in the golden-mean tiling - Figb-metal.csv slope as a function of $ r_b $ in the metallic-mean tiling with $ r_t = 2$ - Figb-disorder.csv slope as a function of $ r_b $ in the disordered system with $ r_t = 2$ Description: This figure shows slope of the DOS for the tight-binding model