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Finite-temperature Gutzwiller approximation and the phase diagram of a toy model for V_2O_3

机译:V_2O_3的有限温度Gutzwiller逼近和玩具模型的相图

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We exploit exact inequalities that refer to the entropy of a distribution to derive a simple variational principle at finite temperature for trial density matrices of Gutzwiller and Jastrow type. We use the result to extend at finite temperature the Gutzwiller approximation, which we apply to study a two-orbital model that we believe captures some essential features of V_2O_3. We indeed find that the phase diagram of the model bears many similarities to that of real vanadium sesquioxide. In addition, we show that in a Bethe lattice, where the finite-temperature Gutzwiller approximation provides a rigorous upper bound of the actual free energy, the results compare well with the exact phase diagram obtained by dynamical mean-field theory.
机译:我们利用精确的不等式,这些不等式涉及分布的熵,以得出有限温度下的Gutzwiller和Jastrow型试验密度矩阵的简单变化原理。我们使用该结果在有限温度下扩展Gutzwiller逼近,将其应用于研究两轨模型,我们相信该模型捕获了V_2O_3的某些基本特征。我们确实发现该模型的相图与真正的五氧化二钒有很多相似之处。此外,我们表明,在Bethe晶格中,有限温度的Gutzwiller逼近提供了实际自由能的严格上限,其结果与动态均场理论获得的精确相图很好地进行了比较。

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