Electrical and magnetic properties of underdoped cuprates in the spin gap phase, a precursor to high Tc superconducting state, is riddled with puzzles. We propose a novel reference state to study this phase, where each hole dopant adds one real holon and one real spinon, with Haldane exclusion statistics $g_{\rm h} =1$ and $g_{\rm s} = {1/2}$, to a fairly inert (pseudo gaped) spin liquid vacuum, resulting in a low density spin-charge liquid. Spins and charges interact and form a novel collective state, a \textit{3/2-Fermi liquid}. A holon pairs with a spinon; this hole like fermion composite carries charge +e and a spin-\hlf moment and novel exclusion statistics $g_{\rm hole} = {3/2}$. We explain an anomalous expansion of Fermi sea area by 3/2, seen in recent quantum oscillation experiments at two different dopings.
Systematic analysis of the planar resistivity, Hall effect and cotangent of the Hall angle for the electron-doped cuprates reveals underlying Fermi-liquid behavior even deep in the antiferromagnetic part of the phase diagram. The transport scattering rate exhibits a quadratic temperature dependence, and is nearly independent of doping, compound and carrier type (electrons vs. holes), and hence universal. Our analysis moreover indicates that the material-specific resistivity upturn at low temperatures and low doping has the same origin in both electron- and hole-doped cuprates.
A unified theory for the cuprates, iron-based and similar superconducting systems: non-Fermi-liquid to Fermi-liquid crossover, low-energy and waterfall anomalies
Hall effect and quantum oscillation measurements on high temperature cuprate superconductors show that underdoped compositions have a small Fermi surface pocket whereas when heavily overdoped, the pocket increases dramatically in size. The origin of this change in electronic structure has been unclear, but may be related to the high temperature superconductivity. Here we show that the clean overdoped single-layer cuprate Tl2Ba2CuO6+x (Tl2201) displays CDW order with a remarkably long correlation length $ξ\approx 200$ Å which disappears above a hole concentration p_CDW ~ 0.265. We show that the…
We show that a Fermi surface reconstruction due to spiral antiferromagnetic order may explain the rapid change in the Hall number as recently observed near optimal doping in cuprate superconductors [Badoux~\textit{et. al.}, Nature \textbf{531}, 210 (2016)]. The single-particle spectral function in the spiral state exhibits hole pockets which look like Fermi arcs due to a strong momentum dependence of the spectral weight. Adding charge-density wave order further reduces the Fermi surface to a single electron pocket. We propose quantum oscillation measurements to distinguish between commensurate…
Magnetic Breakdown in the electron-doped cuprate superconductor Nd$_{2-x}$Ce$_x$CuO$_4$: the reconstructed Fermi surface survives in the strongly overdoped regime
本文报道了电子过掺杂铜氧化物超导体Nd $_{2-x}$ Ce $_x$ CuO $_4$中的半经典角度相关磁电阻振荡（AMRO）和Shubnikov-de Haas效应。我们的数据提供了令人信服的证据磁击穿系统。这表明，一个重建的多连接费米表面持续存在，至少在强磁场，直到超导制度的最高掺杂水平。结果表明，在电子掺杂铜氧化物超导体中，平移对称破缺与超导配对之间存在着密切的联系。
The nature of the pseudogap phase remains a major barrier to our understanding of cuprate high-temperature superconductivity. Whether or not this metallic phase is defined by any of the reported broken symmetries, the topology of its Fermi surface remains a fundamental open question. Here we use angle-dependent magnetoresistance (ADMR) to measure the Fermi surface of the cuprate Nd-LSCO. Above the critical doping $p^*$ -- outside of the pseudogap phase -- we fit the ADMR data and extract a Fermi surface geometry that is in quantitative agreement with angle-resolved photoemission. Below $p^*$ -…
The "states-non-conserving" fermion density of states (DOS), deduced from the specific heat of hole-doped cuprates, could arise from a Kondo or heavy fermion-like DOS being suppressed by anti-ferromagnetic spin fluctuations. The large Fermi surface predicted by band theory and observed experimentally, is still expected for zero pseudogap, but with an effective mass corresponding to a Kondo temperature ~ 800 K. A finite pseudogap could divide it into Fermi arcs. Theoretical results for the asymmetric Anderson model can account for the experimental Wilson ratio.
Occurrence of Fermi Pockets without Pseudogap Hypothesis and Clarification of the Energy Distribution Curves of Angle-Resolved Photoemission Spectroscopy in Underdoped Cuprate Superconductors
Evidence for a Fermi liquid in the pseudogap phase of high-Tc cuprates
在“最佳掺杂”的Mott绝缘侧（相对于最高T_c）的铜氧化物高T_c超导体在非超导状态下表现出神秘的行为。接近最佳掺杂的输运和光谱性质不同于朗道-费米液体。对于低于最佳掺杂的载流子浓度，赝能隙从费米表面的部分去除准粒子光谱权重，并导致费米表面分裂成不连接的节点和反节点扇区。在这里，我们表明，近节激发欠掺杂铜酸盐服从费米液体行为。我们的光学测量结果表明，动力学弛豫速率1/τ（ω，T）坍缩在一个正比于（hbar ω）^2+（1.5 pi k_B T）^2的普适函数上。费米液体行为的线索来自于最近发现的低掺杂YBa 2Cu 3 O 6 +d和YBa 2Cu 4 O 8在低温和高磁场下的量子振荡，来自于观察到的过掺杂和低掺杂铜氧化物的DC（ω=0）电阻率的T^2依赖性，以及来自于对核磁共振数据的双流体分析。然而，由我们的测量提供的激发寿命的能量依赖性的直接光谱测定到现在为止一直是难以捉摸的。这一观察结果与相图中低掺杂一侧的高T_c铜酸盐的非费米液体物理学的标准知识相悖。
Luttinger-volume violating Fermi liquid in the pseudogap phase of the cuprate superconductors
通过对Bi $_2$ Sr $_{2-x}$ La $_x$ CuO $_{6+δ}$（La-Bi 2201）在强磁场中的NMR测量，确定了铜氧化物中的非超导赝能隙相为Luttinger体积违反费米液体（LvvFL）。这种状态是零温度量子液体，不会破坏平移对称性，然而，费米表面包围的体积小于Luttinger定理给出的大体积。LvvFL中的小费米面包围的粒子数等于掺杂水平$p$，而不是总电子数$n_e=1-p$。分别用相位弦论和掺杂理论描述了LvvFL。对于dopon理论，我们可以得到一个半定量的协议与NMR实验。
The observation of a reconstructed Fermi surface via quantum oscillations in hole-doped cuprates opened a path towards identifying broken symmetry states in the pseudogap regime. However, such an identification has remained inconclusive due to the multi-frequency quantum oscillation spectra and complications accounting for bilayer effects in most studies. We overcome these impediments with high resolution measurements on the structurally simpler cuprate HgBa2CuO4+d (Hg1201), which features one CuO2 plane per unit cell. We find only a single oscillatory component with no signatures of magnetic …
Doping evolution of the electronic structure in the single-layer cuprates Bi$_2$Sr$_{2-x}$La$_x$CuO$_{6+δ}$: Comparison with other single-layer cuprates
我们已经进行了角分辨光电子能谱和芯层X射线光电子能谱研究的单层铜酸盐Bi $_2$ Sr $_{2-x}$ La $_x$ CuO $_{6+δ}$（Bi 2201），并揭示了掺杂的电子结构的演变从轻掺杂到最佳掺杂区域。我们已经观察到的色散准粒子带的形成，费米“弧”的费米面的演变和化学势的移动与空穴掺杂在其他铜酸盐。Bi 2201中的掺杂演变类似于Ca $_{2-x}$ Na $_{x}$ CuO $_{2}$ Cl $_2$（Na-CCOC）中的掺杂演变，其中已经观察到朝向母绝缘体的较低哈伯德带的快速化学势偏移，但是与La $_{2-x}$ Sr $_{x}$ CuO $_{4}$（LSCO）中的掺杂演变完全不同，其中化学势不偏移，而色散带和费米弧/表面已经在轻掺杂区中的费米能级周围形成。利用紧束缚拟合定量分析了费米面形状和能带色散，推导出的次近邻跳跃积分$t'$也证实了与Na-CCOC的相似性和与LSCO的不同.
At the nematic quantum critical point that exists in the $d_{x^2-y^2}$-wave superconducting dome of cuprates, the massless nodal fermions interact strongly with the quantum critical fluctuation of nematic order. We study this problem by means of renormalization group approach and show that, the fermion damping rate $\left|\mathrm{Im}Σ^R(ω)\right|$ vanishes more rapidly than the energy $ω$ and the quasiparticle residue $Z_f\rightarrow 0$ in the limit $ω\rightarrow 0$. The nodal fermions thus constitute an unconventional non-Fermi liquid that represents an even weaker violation of Fermi liquid t…
The parent compounds of the high-temperature cuprate superconductors are Mott insulators. It has been generally agreed that understanding the physics of the doped Mott insulators is essential to understanding the mechanism of high temperature superconductivity. A natural starting point is to elucidate the basic electronic structure of the parent compound. Here we report comprehensive high resolution angle-resolved photoemission measurements on Ca$_2$CuO$_2$Cl$_2$, a Mott insulator and a prototypical parent compound of the cuprates. Multiple underlying Fermi surface sheets are revealed for the …
According to the celebrated Onsagar-Lifshitz paradigm, the observation of Shubnikov de-Haas and de-Haas van Alphen (SdHvA) oscillations is an indication of the presence of `closed' orbit Fermi surface in the bulk. We present a real-space based calculation of SdHvA oscillations in generalized quasi-one-dimensional lattices by relaxing the quasi-classical approximations embedded in this decades old Onsagar-Lifshitz paradigm. We find that sizable quantum oscillation can arise from `open' Fermi surfaces as long as cyclotron orbits can form in real-space with finite, but not necessarily equal, elec…
