Hartree-Fock computation of the high- T c cuprate phase diagram
Hartree-Fock computation of the high- T c cuprate phase diagram
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高温铜酸盐相图的 Hartree-Fock 计算
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发表时间：
2013
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通讯作者：
Robert B. Laughlin
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作者：
Robert B. Laughlin
提出了一种计算铜氧化物相图的方法。假设绝热变形回到密度函数能带结构。对称性约束导致费米液体理论与5个相互作用参数。其中两个通过实验强制为零。其余3个适合于（1）半填充时的反铁磁态的矩，（2）最佳掺杂时的超导能隙，以及（3）最大赝能隙，我将其确定为d密度波。Hartree-Fock方程的解给出了与实验定量一致的（1）在5%和16%p型掺杂下的量子相变，（2）低于5%的绝缘，（3）d波赝能隙准粒子谱，（4）赝能隙和超导能隙值随掺杂的变化，（5）超导Tc与掺杂的关系，（6）伦敦穿透深度与掺杂的关系，（7）自旋波速度。拟合点的超交换介导的成键的O原子在Cu-O平面作为所有三个有序现象的原因。
A computation of the cuprate phase diagram is presented. Adiabatic deformability back to the density function band structure is assumed. Symmetry constraints lead to a fermi liquid theory with 5 interaction parameters. Two of these are forced to zero by experiment. The remaining 3 are fit to (1) the moment of the antiferromagnetic state at half filling, (2) the superconducting gap at optimal doping, and (3) the maximum pseudogap, which I identify as d-density wave. Solution of the Hartree-Fock equations gives, in quantitative agreement with experiment, (1) quantum phase transitions at 5% and 16% p-type doping, (2) insulation below 5%, (3) a d-wave pseudogap quasiparticle spectrum, (4) pseudogap and superconducting gap values as a function of doping, (5) superconducting Tc versus doping, (6) London penetration depth versus doping, (7) spin wave velocity. The fit points to superexchange mediated by the bonding O atom in the Cu-O plane as the causative agent of all three ordering phenomena.