DOI: 10.5281/zenodo.15221793
title: Modulated honeycomb lattices and their magnetic properties

description: ### 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.


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#### ./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