arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2408.00834cond-mat.str-el
收藏

关联金属的变分波函数

Variational wave-functions for correlated metals

Ankush Chaubey, Harsh Nigam, Subhro Bhattacharjee, K. Sengupta

AI总结:

本文提出基于动量空间费米子占据数叠加的变分波函数,用于刻画关联金属的费米面涨落,并在一维TLL及二维费米液体到非费米液体的过渡中验证其有效性,还发现正方晶格上准粒子残存权重分布与铜氧化物费米弧相似。

摘要:

我们研究了一组费米子多体波函数,这些波函数自然地用动量空间基写出,并允许费米子占据数 $\{n_{\bf k}\}$ 的量子叠加。这使我们能够捕捉费米面(FS)的涨落——这是金属最奇异的、最重要的特征。我们在一维空间(1D)中对结果进行了基准测试,表明这些波函数能够定量理解朝永-拉廷格液体(TLL);使用这些波函数计算某些关联函数实际上可以扩展到比传统精确对角化(ED)更大的系统尺寸,从而能够与玻色化技术进行更系统的比较。最后,我们证明了该基组可能有助于获得维度大于一的强关联金属的不动点波函数。特别地,我们研究了在连续空间(2D)和正方晶格上椭圆费米面的相干(等权)叠加情形。在前一种情形中,我们的变分波函数系统地在费米液体基态的唯象学(即在尖锐费米面处具有有限的单费米子残存权重)与零残存权重的非费米液体(NFL)之间进行插值。在非费米液体中,费米面处 $\langle n_{\bf k}\rangle$ 的跳变被一个拐点所取代(类似于一维朝永-拉廷格液体),其轮廓与拉廷格定理一致。在正方晶格情形中,我们发现准粒子残存权重具有高度各向异性的分布,在有限分辨率下与铜氧化物赝能隙态中看到的费米弧有着惊人的相似之处,尽管是在零温度下。

英文摘要:

We study a set of many-body wave-functions of Fermions that are naturally written using momentum space basis and allow for quantum superposition of Fermion occupancy, $\{n_{\bf k}\}$. This {enables} us to capture the fluctuations of the Fermi-surface {(FS)} -- the singularly most important signature of a metal. We bench-mark our results in one spatial dimensions (1D) to show that these wave-functions allow for quantitative understanding of the Tomonaga-Luttinger liquid (TLL); computations of certain correlators using them can in fact be extended to larger systems sizes compared to conventional exact diagonalization (ED) allowing for a more systematic comparison with bosonization techniques. Finally we show that this basis may be useful for obtaining fixed-point wave-function for strongly correlated metals {in dimensions greater that one}. In particular, we study the case of coherent (equal) superposition of elliptical FS {in continuum (2D) and on a} square lattice{. In case of the former, our variational wave-function systematically interpolates between the phenomenology of the Fermi liquid ground state, i.e., finite single-Fermion residue at a sharp FS, to a non-Fermi liquid (NFL) with zero residue. In the NFL the jump in $\langle n_{\bf k}\rangle$ at the FS is replaced by a point of inflection (similar to a 1D TLL) whose contour is consistent with the Luttinger Theorem. In case of the square lattice, we} find highly anisotropic distribution of the quasi-particle residue, which, at finite resolution has an uncanny resemblance to the Fermi-arcs{, albeit at zero temperature,} seen in the pseudo-gap state of the cuprates.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑