Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models
DOI10.5281/zenodo.13692427Zenodo13692427MaRDI QIDQ6706221
Dataset published at Zenodo repository.
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Publication date: 5 September 2024
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Data for the publication Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models. Included are data for return rates and Fisher zeroes. The names of the data files contain all metadata necessary for specifying the type of data, with a list of the paramters used. For more details on the models and paramters see the article. Firstly the three models are considered labelled byKit for the 2D spinless px+ipy topological superconductor, Sq for the 2D spinfull topological superconductor, and 3D for the 3D topological insulator. After_N_ the system size is written, referring the number of sites along one direction (for finite size calcualtions only). RR refers to the return rate. For Kit the columns are $t$, $l(t), $\dot{l}(t)$, $\ddot{l}(t)$. If only two columns exit then there is just $t$, $\dot{l}(t)$. For Sq the columns are $t$, $l(t), $\dot{l}(t)$, $|\lambda_0(t)|$.For 3D the columns are $t$, $\dot{l}(t)$, $\ddot{l}(t)$. Density refers to the density of Fisher zeroes along the real time axis, with the columns being simply time and density. Fisher to Fisher zeroes in the complex plane with kx, etc meaning it is resolved along this momentum direction. The columns are the real and imaginary parts of the complex time argument. Critical_k are the critical momenta. Critical_k_En lists the energy for each critical momenta in the matching Critical_k file. For Kit the list of quench parameters are 100 times {$\mu_0$, $\Delta_0$, $\mu_1$, $\Delta_1$}. For Sq the list of quench parameters are 100 times {$\nu_0$, \nu_1$, $\mu_0$, $\Delta_0$, $\alpha_0$, $B_0$, $\mu_1$, $\Delta_1$, $\alpha_1$, $B_1$}. For 3D the list of quench parameters are 100 times {$v_0$,$w_0$,$v_1$,$w_1$}. For Fisher data branch labels naturally the branch p. Zoom, etc, label different zooms in differnet regions, as made explicit by the times inside the files. This work was supported by the National Science Centre (NCN, Poland) under the grant 2019/35/B/ST3/03625, by the German Research Council (DFG) via the Re- search Unit FOR 2316 and by the National Science and Engineering Resource Council (NSERC) of Canada via the Discovery Grant program.
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