二维辛费米子的非费米液体性质：动力学产生的（伪）能隙的作用
Non-Fermi liquid properties of 2d symplectic fermions: the role of a dynamically generated (pseudo)-gap
摘要：
进一步分析了二维相互作用辛费米子模型。作为一种有效的低能理论，该模型是统一的。我们证明了相对论质量m是动态产生的，并导出了它的能隙方程，通过引入有限温度，我们研究了模型的一些基本性质，如比热和自旋响应，这些性质清楚地表明了非费米液体的性质。我们发现，在温度T< T* 下，各种物理性质被抑制，其中交叉尺度为T* = m。作为一个简化的，玩具模型的高Tc超导性，我们因此确定的赝能隙的能量尺度与零温度相对论质量m，并表明，这再现了一些定性方面所观察到的现象的赝能隙。分析了赝能隙和有限温度对d波能隙方程的影响。在这个模型中，赝能隙是一个独特的现象，从超导性，实际上与它竞争。我们的分析表明，我们的模型的量子临界点，赝能隙消失，发生在最佳掺杂附近的超导圆顶。当反铁磁交换能为J/kB ~ 1350 K时，d-波隙方程的解给出的最大Tc约为110 K。
英文摘要：
The interacting symplectic fermion model in two spatial dimensions is further analyzed. As an effective low energy theory, the model is unitary. We show that a relativistic mass m is dynamically generated and derive a gap equation for it. By incorporating a finite temperature we study some fundamental properties of the model, such as the specific heat and spin response, which clearly show non-Fermi liquid properties. We find that various physical properties are suppressed at temperatures T< T* where the cross-over scale is T* = m. As a simplified, toy model of high Tc superconductivity, we thus identify the pseudogap energy scale with the zero temperature relativistic mass m, and show that this reproduces some qualitative aspects of the observed phenomenology of the pseudogap. The effects of the pseudogap and finite temperature on the d-wave gap equation are analyzed. In this model, the pseudogap is a distinct phenomenon from superconductivity and in fact competes with it. Our analysis of Tc suggests that the quantum critical point of our model, where the pseudogap vanishes, occurs inside the superconducting dome near optimal doping. For an antiferromagnetic exchange energy of J/k_B ~ 1350K, solutions of the d-wave gap equation give a maximum Tc of about 110K.
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