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Theory of a continuous Mott transition in two dimensions

机译：二维连续Mott过渡的理论

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摘要

We study theoretically the zero-temperature phase transition in two dimensions from a Fermi liquid to a paramagnetic Mott insulator with a spinon Fermi surface. We show that the approach to the bandwidth-controlled Mott transition from the metallic side is accompanied by a vanishing quasiparticle residue and a diverging effective mass. The Landau parameters F_s~0,F_a~0 also diverge. Right at the quantum critical point there is a sharply defined "critical Fermi surface" but no Landau quasiparticle. The critical point has a T ln 1/T specific heat and a nonzero T=0 resistivity. We predict an interesting universal resistivity jump in the residual resistivity at the critical point as the transition is approached from the metallic side. The crossovers out of the critical region are also studied. Remarkably the initial crossover out of criticality on the metallic side is to a marginal Fermi liquid metal. At much lower temperatures there is a further crossover into the Landau Fermi liquid. The ratio of the two crossover scales vanishes when approaching the critical point. Similar phenomena are found in the insulating side. The filling-controlled Mott transition is also studied. Implications for experiments on the layered triangular lattice organic material κ-(ET)_2Cu_2(CN)_3 are discussed.
机译：我们从理论上研究了从费米液体到具有尖锥费米表面的顺磁Mott绝缘子的二维零温度相变。我们表明，从金属侧到带宽控制的Mott过渡的方法伴随着消失的准粒子残基和有效质量的发散。 Landau参数F_s〜0，F_a〜0也发散。就在量子临界点，存在一个清晰定义的“临界费米表面”，但没有朗道准粒子。临界点具有T ln 1 / T比热和非零T = 0电阻率。我们预测，随着从金属侧接近过渡点，残余电阻率在临界点将发生有趣的通用电阻率跃变。还研究了超出关键区域的交叉。值得注意的是，在金属方面，最初超出临界点的过渡是边缘的费米液态金属。在低得多的温度下，还会进一步渗入Landau Fermi液体。接近临界点时，两个交叉比例的比率消失。在绝缘侧发现类似现象。还研究了填充控制的Mott过渡。讨论了对层状三角形晶格有机材料κ-（ET）_2Cu_2（CN）_3的实验意义。

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