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Description
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With this data set we provide representative and relevant data for the analyses provided in https://arxiv.org/pdf/2512.17716 via HDF5 files, namely at half-filling the values T=1/15t, U=4,5.5,5.9,5.92t, where the latter is the closest data to the MIT Uc_2 available. The file names contain first the method (either CDMFT or the ISOLATED cluster), then the interaction value, the temperature, the doping, the second next neighbor hopping and, finally, the size of the impurity cluster 2x2 follows. Please use the following instructions for accessing the different types of data within the respective files: 1) For scalar quantities such as the chemical potential "mu", the data is provided directly with this key. 2) For two-point fermionic objects such as the Green function "Greens_function", each entry contains two-orbital indices with keys running from 0 to 3 for the 2 times 2 cluster case. Then a key "data_Re" or "data_Im" follows. For example: ['Greens_function']['0']['0']['data_Re'] contains a 1D Matsubara data array for a symmetric frequency grid. 3) Further, the Hedin vertex and the bosonic response functions are split into their channels: "char_ch" and "magn_ch", followed by either "hedin" or "susceptibility"-keys. After two- or three-orbital keys "data_Re" or "data_Im" keys follow, before a respective array. For example: A['char_ch']['hedin'][str(i1)][str(i2)][str(i3)]['data_Re'] contains a 2D Matsubara data array, where the odd number of data is the values corresponding to bosonic frequencies for the positive and negative Matsubara frequencies, and the even number the respective fermionic argument. A['chi4_ph']['up_up'][str(i1)][str(i2)][str(i3)][str(i4)]['data_Re'] etc. contains a 3D Matsubara data array with the generalized impurity susceptibility in the particle-hole frequency notation where the column order represents [omega,nu,nu'] in the convention of the paper, where the given omega=0. The HDF5 files can, for instance, by access in python via https://www.h5py.org/. If there are any questions left, feel free to get in touch.
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Related Publication
| Non-perturbative effects of short-range spatial correlations at the two-particle level: By means of cellular dynamical mean-field theory (CDMFT) we study how short-range correla- tions drive the breakdown of the self-consistent perturbation theory in two-dimensional systems and the most relevant physical consequences associated to it. To this aim, we first derive in a structured and consistent way the Bethe-Salpeter equation (BSE) formalism at the CDMFT level in all physical channels, explicitly addressing the important aspect of the related Ward identities. In this context, we perform systematic calculations of the BSE for the two-dimensional Hubbard model at half- filling at intermediate coupling. Our study illustrates how the divergence of a fundamental building block of the BSE in the charge channel, the two-particle irreducible vertex, systematically occurs at lower interactions than in the (purely local) DMFT case, due to short-range antiferromagnetic fluctuations. Further, the change of sign of the eigenvalues of the generalized charge susceptibility associated to the vertex divergences is identified as the essential prerequisite to drive, at larger interaction values, the physics of the Mott transition in two dimensions, as well as of the adjacent phase-separation instabilities.https://arxiv.org/pdf/2512.17716 |
