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# General Information #
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Title:
Supplementary data to "Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations"

Authors:
Jan Alexander Koziol, Anja Langheld, Sebastian C. Kapfer, Kai Phillip Schmidt

License:
All files contained are published under the "Creative Commons Attribution 4.0 International (CC BY 4.0)" license.

Contact:
jan.koziol@fau.de
anja.langheld@fau.de
kai.phillip.schmidt@fau.de

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# Description #
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This directory contains the data used to generate the results in the work "Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations".

The directory contains three subdirectories: 
- Data_All contains squared magnetization curves and Binder cumulants for different system sizes in the vicinity of the quantum critical point of interest. Beyond the data points used for the final data collapses in this directory there are also data points for other system sizes and transverse-field values that we computed, but which were not used to obtain the final results.
- Data_Collapse contains specifically the squared magnetization curves that were used for the data collapse to obtain the critical properties presented in the work "Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations".
- Data_QCP contains the critical transverse-field values and critical exponents beta and nu presented in the figures of the work "Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations".

Organization of Data_All:
The Data_All directory is organised in subdirectories for the respective quantities (*_Bindercumulant_* / *_Magnetizationsquared_*), couplings (*_Antiferromagnetic_* / *_Ferromagnetic_*) and lattice geometries (*_Linearchain / *_Squarelattice). The files in the respective directories are named <quantity>_<coupling>_D<dimension>_Sigma<sigma>_L<linear system size>.csv and contain two columns providing the values of the quantity for each transverse-field.

Organization of Data_Collapse:
The Data_Collapse directory is organised in subdirectories for the respective couplings (*_Antiferromagnetic_* / *_Ferromagnetic_*) and lattice geometries (*_Linearchain / *_Squarelattice). The files in the respective directories are named Magnetizationsquared_<coupling>_D<dimension>_Sigma<sigma>_L<linear system size>.csv and contain two columns providing the values of the quantity for each transverse field.

Organization of Data_QCP:
The files in the Data_QCP directory contain the data points presented in the Figs. 3 and 4. of the work "Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations". The files in the directory are named <quantity>_<coupling>_<lattice geometry>.csv . Additionally, we also provide in the antiferromagnetic case on the linear chain the critical properties derived from systems only using linear system sizes up to L=64. The files contain for the respective decay exponent sigma values to determined values for the quantity with errors, as presented in the Figs. 3 and 4. of the work "Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations". The provided errors result from the fitting error of the data collapse procedure described in the work "Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations".
