We are working in the field of strongly correlated electron systems. Our present research interest includes frustration in high Tc superconductors (mainly cuprates). For this we employ exact diagonalization method on a small 8 site square Hubbard cluster at quarter fillings. In the preliminary stage, we have calculated the thermodynamic properties (e.g. specific heat, entropy, susceptibility etc.) of such a system. In our results, we observed a double peak structure in specific heat with the inclusion of negative value of t’ (nnn hoppings) for a particular value U and for even U=0.0. Such a double peak structure is well known in for finite U’s (for pure Hubbard case) and the reason for such a structure is well available in literature. Now my qquestion is
1. What is the physics behind the Double peak structure in specific heat for U=0.0 with finite t’. Is the reason same as that for increase in U? Is there any reference which discusses this issue?
2. Our calculations are at quarter filling. Is this doping level completely inappropriate for HTC cuprates? Are any interesting features are observed in this doping level? Though the overdoped regime can be well established by conventional Fermi liquid theory, can it be addressed in the framework of our systems?
Entropy: A concept that is not a physical quantity
https://www.researchgate.net/publication/230554936_Entropy_A_concept_that_is_not_a_physical_quantity
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