Evidence for a finite-momentum Cooper pair in tricolor d-wave superconducting superlattices

Fermionic superfluidity with a nontrivial Cooper-pairing, beyond the conventional Bardeen-Cooper-Schrieffer state, is a captivating field of study in quantum many-body systems. In particular, the search for superconducting states with finite-momentum pairs has long been a challenge, but establishing its existence has long suffered from the lack of an appropriate probe to reveal its momentum. Recently, it has been proposed that the nonreciprocal electron transport is the most powerful probe for the finite-momentum pairs, because it directly couples to the supercurrents. Here we reveal such a pairing state by the non-reciprocal transport on tricolor superlattices with strong spin-orbit coupling combined with broken inversion-symmetry consisting of atomically thin d-wave superconductor CeCoIn5. We find that while the second-harmonic resistance exhibits a distinct dip anomaly at the low-temperature (T)/high-magnetic field (H) corner in the HT-plane for H applied to the antinodal direction of the d-wave gap, such an anomaly is absent for H along the nodal direction. By carefully isolating extrinsic effects due to vortex dynamics, we reveal the presence of a non-reciprocal response originating from intrinsic superconducting properties characterized by finite-momentum pairs. We attribute the high-field state to the helical superconducting state, wherein the phase of the order parameter is spontaneously spatially modulated.

Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)

Majorana quasiparticles in condensed matter are important for topological quantum computing^1-3, but remain elusive. Vortex cores of topological superconductors may accommodate Majorana quasiparticles that appear as the Majorana bound state (MBS) at zero energy^4,5. The iron-based superconductor Fe(Se,Te) possesses a superconducting topological surface state^6-9 that was investigated by scanning tunnelling microscopy (STM) studies, which suggest such a zero-energy vortex bound state (ZVBS)^10,11. Here we present ultrahigh energy-resolution spectroscopic imaging (SI)-STM to clarify the nature of the vortex bound states in Fe(Se,Te). We found the ZVBS at 0 ± 20 μeV, which constrained its MBS origin, and showed that some vortices host the ZVBS but others do not. We show that the fraction of vortices hosting the ZVBS decreases with increasing magnetic field and that local quenched disorders are not related to the ZVBS. Our observations elucidate the necessary conditions to realize the ZVBS, which paves the way towards controllable Majorana quasiparticles.

A scanning tunneling microscope for spectroscopic imaging below 90 mK in magnetic fields up to 17.5 T

We describe the development and performance of an ultra-high vacuum scanning tunneling microscope working under combined extreme conditions of ultra-low temperatures and high magnetic fields. We combined a top-loading dilution refrigerator and a standard bucket dewar with a bottom-loading superconducting magnet to achieve 4.5 days operating time, which is long enough to perform various spectroscopic-imaging measurements. To bring the effective electron temperature closer to the mixing-chamber temperature, we paid particular attention to filtering out radio-frequency noise, as well as enhancing the thermal link between the microscope unit and the mixing chamber. We estimated the lowest effective electron temperature to be below 90 mK by measuring the superconducting-gap spectrum of aluminum. We confirmed the long-term stability of the spectroscopic-imaging measurement by visualizing superconducting vortices in the cuprate superconductor Bi₂Sr₂CaCu₂O_8+δ .

Full-gap superconductivity in spin-polarised surface states of topological semimetal β-PdBi2

A bulk superconductor possessing a topological surface state at the Fermi level is a promising system to realise long-sought topological superconductivity. Although several candidate materials have been proposed, experimental demonstrations concurrently exploring spin textures and superconductivity at the surface have remained elusive. Here we perform spectroscopic-imaging scanning tunnelling microscopy on the centrosymmetric superconductor β-PdBi2 that hosts a topological surface state. By combining first-principles electronic-structure calculations and quasiparticle interference experiments, we determine the spin textures at the surface, and show not only the topological surface state but also all other surface bands exhibit spin polarisations parallel to the surface. We find that the superconducting gap fully opens in all the spin-polarised surface states. This behaviour is consistent with a possible spin-triplet order parameter expected for such in-plane spin textures, but the observed superconducting gap amplitude is comparable to that of the bulk, suggesting that the spin-singlet component is predominant in β-PdBi2.Although several materials have been proposed as topological superconductors, spin textures and superconductivity at the surface remain elusive. Here, Iwaya et al. determine the spin textures at the surface of a superconductor β-PdBi2 and find the superconducting gap opening in all spin-polarised surface states.

Intra-unit-cell electronic nematicity of the high-T(c) copper-oxide pseudogap states

In the high-transition-temperature (high-T(c)) superconductors the pseudogap phase becomes predominant when the density of doped holes is reduced. Within this phase it has been unclear which electronic symmetries (if any) are broken, what the identity of any associated order parameter might be, and which microscopic electronic degrees of freedom are active. Here we report the determination of a quantitative order parameter representing intra-unit-cell nematicity: the breaking of rotational symmetry by the electronic structure within each CuO(2) unit cell. We analyse spectroscopic-imaging scanning tunnelling microscope images of the intra-unit-cell states in underdoped Bi(2)Sr(2)CaCu(2)O(8 +) (delta) and, using two independent evaluation techniques, find evidence for electronic nematicity of the states close to the pseudogap energy. Moreover, we demonstrate directly that these phenomena arise from electronic differences at the two oxygen sites within each unit cell. If the characteristics of the pseudogap seen here and by other techniques all have the same microscopic origin, this phase involves weak magnetic states at the O sites that break 90 degrees -rotational symmetry within every CuO(2) unit cell.

How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+delta

The antiferromagnetic ground state of copper oxide Mott insulators is achieved by localizing an electron at each copper atom in real space (r-space). Removing a small fraction of these electrons (hole doping) transforms this system into a superconducting fluid of delocalized Cooper pairs in momentum space (k-space). During this transformation, two distinctive classes of electronic excitations appear. At high energies, the mysterious 'pseudogap' excitations are found, whereas, at lower energies, Bogoliubov quasi-particles-the excitations resulting from the breaking of Cooper pairs-should exist. To explore this transformation, and to identify the two excitation types, we have imaged the electronic structure of Bi(2)Sr(2)CaCu(2)O(8+delta) in r-space and k-space simultaneously. We find that although the low-energy excitations are indeed Bogoliubov quasi-particles, they occupy only a restricted region of k-space that shrinks rapidly with diminishing hole density. Concomitantly, spectral weight is transferred to higher energy r-space states that lack the characteristics of excitations from delocalized Cooper pairs. Instead, these states break translational and rotational symmetries locally at the atomic scale in an energy-independent way. We demonstrate that these unusual r-space excitations are, in fact, the pseudogap states. Thus, as the Mott insulating state is approached by decreasing the hole density, the delocalized Cooper pairs vanish from k-space, to be replaced by locally translational- and rotational-symmetry-breaking pseudogap states in r-space.

An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates

Removing electrons from the CuO2 plane of cuprates alters the electronic correlations sufficiently to produce high-temperature superconductivity. Associated with these changes are spectral-weight transfers from the high-energy states of the insulator to low energies. In theory, these should be detectable as an imbalance between the tunneling rate for electron injection and extraction-a tunneling asymmetry. We introduce atomic-resolution tunneling-asymmetry imaging, finding virtually identical phenomena in two lightly hole-doped cuprates: Ca(1.88)Na(0.12)CuO(2)Cl2 and Bi2Sr2Dy(0.2)Ca(0.8)Cu2O(8+delta). Intense spatial variations in tunneling asymmetry occur primarily at the planar oxygen sites; their spatial arrangement forms a Cu-O-Cu bond-centered electronic pattern without long-range order but with 4a(0)-wide unidirectional electronic domains dispersed throughout (a(0): the Cu-O-Cu distance). The emerging picture is then of a partial hole localization within an intrinsic electronic glass evolving, at higher hole densities, into complete delocalization and highest-temperature superconductivity.

Nodal quasiparticles and antinodal charge ordering in Ca2-xNaxCuO2Cl2

Understanding the role of competing states in the cuprates is essential for developing a theory for high-temperature superconductivity. We report angle-resolved photoemission spectroscopy experiments which probe the 4a0 x 4a0 charge-ordered state discovered by scanning tunneling microscopy in the lightly doped cuprate superconductor Ca2-xNaxCuO2Cl2. Our measurements reveal a marked dichotomy between the real- and momentum-space probes, for which charge ordering is emphasized in the tunneling measurements and photoemission is most sensitive to excitations near the node of the d-wave superconducting gap. These results emphasize the importance of momentum anisotropy in determining the complex electronic properties of the cuprates and places strong constraints on theoretical models of the charge-ordered state.

Missing quasiparticles and the chemical potential puzzle in the doping evolution of the cuprate superconductors

The evolution of Ca2-xNaxCuO2Cl2 from Mott insulator to superconductor was studied using angle-resolved photoemission spectroscopy. By measuring both the excitations near the Fermi energy as well as nonbonding states, we tracked the doping dependence of the electronic structure and the chemical potential with unprecedented precision. Our work reveals failures in the standard weakly interacting quasiparticle scenario, including the broad line shapes of the insulator and the apparently paradoxical shift of the chemical potential within the Mott gap. To resolve this, we develop a model where the quasiparticle is vanishingly small at half filling and grows upon doping, allowing us to unify properties such as the dispersion and Fermi wave vector with the chemical potential.

Imaging nanoscale electronic inhomogeneity in the lightly doped Mott insulator Ca(2-x)NaxCuO2Cl2

The spatial variation of electronic states was imaged in the lightly doped Mott insulator Ca(2-x)NaxCuO2Cl2 using scanning tunneling microscopy or spectroscopy. We observed nanoscale domains with a high local density of states within an insulating background. The observed domains have a characteristic length scale of 2 nm (approximately 4-5a, a: lattice constant) with preferred orientations along the tetragonal [100] direction. We argue that such spatially inhomogeneous electronic states are inherent to slightly doped Mott insulators and play an important role for the insulator to metal transition.

A ‘checkerboard’ electronic crystal state in lightly hole-doped Ca2-xNaxCuO2Cl2

The phase diagram of hole-doped copper oxides shows four different electronic phases existing at zero temperature. Familiar among these are the Mott insulator, high-transition-temperature superconductor and metallic phases. A fourth phase, of unknown identity, occurs at light doping along the zero-temperature bound of the 'pseudogap' regime. This regime is rich in peculiar electronic phenomena, prompting numerous proposals that it contains some form of hidden electronic order. Here we present low-temperature electronic structure imaging studies of a lightly hole-doped copper oxide: Ca2-xNaxCuO2Cl2. Tunnelling spectroscopy (at energies |E| > 100 meV) reveals electron extraction probabilities greatly exceeding those for injection, as anticipated for a doped Mott insulator. However, for |E| < 100 meV, the spectrum exhibits a V-shaped energy gap centred on E = 0. States within this gap undergo intense spatial modulations, with the spatial correlations of a four CuO2-unit-cell square 'checkerboard', independent of energy. Intricate atomic-scale electronic structure variations also exist within the checkerboard. These data are consistent with an unanticipated crystalline electronic state, possibly the hidden electronic order, existing in the zero-temperature pseudogap regime of Ca2-xNaxCuO2Cl2.

Modulation of cAMP-mediated vasorelaxation by endothelial nitric oxide and basal cGMP in vascular smooth muscle

Recent in vitro evidence shows a role of endothelial nitric oxide (NO) in the modulation of isoproterenol-induced vasorelaxation. To elucidate roles of endothelial cells and NO in cyclic adenosine monophosphate (cAMP)-mediated vasodilators we examined the effects of removal of endothelium and a NO synthase (NOS) inhibitor on relaxant responses in vitro of rat aortic strips to beta-adrenoceptor stimulants and colforsin dapropate, a water-soluble forskolin, and changes in cAMP and cyclic guanosine monophosphate (cGMP) contents. Relaxant responses of rat aorta to isoproterenol, denopamine, salbutamol, colforsin, and dibutyryl cAMP (dbcAMP) were blunted by removal of endothelial cells or treatment with NOS inhibitor N(G)-nitro-L-arginine methyl ester (L-NAME). Relaxant response of endothelium-intact segments to isoproterenol was associated with increases in tissue cAMP and cGMP contents. Removal of endothelium or treatment with L-NAME markedly reduced basal cGMP and abolished the isoproterenol-induced increase in cGMP but not cAMP content. In endothelium-removed segments, pretreatment with sodium nitroprusside (SNP) restored the diminished relaxant response to isoproterenol and increased basal cGMP (from 0.08 +/- 0.01 to 0.16 +/- 0.02 pmol/mg protein), whereas it did not affect the isoproterenol-induced increase in cAMP. The diminished relaxant response of endothelium-removed segments to dbcAMP was not restored by SNP pretreatment. The results suggest that relaxant response of rat aorta to cAMP-mediated vasodilators is mediated, in part, by NO production in endothelium and subsequent increase in cGMP in vascular smooth-muscle cells.

The effect of chronic treatment with trandolapril on cyclic AMP-and cyclic GMP-dependent relaxations in aortic segments of rats with chronic heart failure

1 Characteristics of cyclic GMP- and cyclic AMP-mediated relaxation in aortic segments of rats with chronic heart failure (CHF) and the effects of chronic treatment with an angiotensin I converting enzyme (ACE) inhibitor, trandolapril, were examined 8 weeks after coronary artery ligation. 2 Cardiac output indices of coronary artery-ligated and sham-operated rats were 125+/-8 and 189+/-10 ml min(-1) kg(-1), respectively (P<0.05), indicating the development of CHF at this period. 3 The maximal relaxant response of aortic segments to 10 microM acetylcholine in rats with CHF and sham-operated rats was 64.0+/-5.7 and 86.9+/-1.9%, respectively (P<0.05), whereas the relaxant response to sodium nitroprusside (SNP) remained unchanged. Tissue cyclic GMP content in rats with CHF was lower than that of sham-operated rats. 4 In endothelium-intact segments of rats with CHF, the maximal relaxant response to 10 microM isoprenaline (44.5+/-6.7%) was lower that sham-operated rats (81.3+/-2.5%, P<0.05) and the concentration-response curve for NKH477, a water-soluble forskolin, was shifted to the right without a reduction in the maximal response. Isoprenaline-induced relaxation of aortic segments was attenuated by NG-nitro-L-arginine methyl ester (L-NAME) in sham-operated rats, but not in rats with CHF. Relaxation to 30 microM dibutyryl cyclic AMP in rats with CHF (26.8+/-2.7%) was lower than that in sham-operated rats (63.4+/-11.8%, P<0.05). 5 Trandolapril (3 mg kg(-1) day(-1)) was orally administered from the 2nd to 8th week after the operation. Aortic blood flow of rats with CHF (38.5+/-3.6 ml min(-1)) was lower than that of sham-operated rats (55.0+/-3.0 ml min(-1)), and this reduction was reversed (54.1+/-3.4 ml min(-1)) by treatment with trandolapril. The diminished responsiveness described above was normalized in the trandolapril-treated rat with CHF (i.e., the maximal relaxation to acetylcholine, 94.7+/-1.0%; that to isoprenaline, 80.5+/-2.8%; that to dibutyryl cyclic AMP, 54.7+/-6.2%). However, aortic segments of trandolapril-treated rats with CHF, L-NAME did not attenuate isoprenaline-induced relaxation and the tissue cyclic GMP level was not fully restored, suggesting that the ability of the endothelium to produce NO was still partially damaged. 6 The results suggest that vasorelaxation in CHF, diminished mainly due to dysfunction in endothelial nitric oxide (NO) production and cyclic AMP-mediated signal transduction, was partially restored by long-term treatment with trandolapril. The mechanism underlying the restoration may be attributed in part to prevention of CHF-induced endothelial dysfunction.

Serial changes in endogenous erythropoietin levels in patients with myelodysplastic syndromes and aplastic anemia undergoing erythropoietin treatment

Recombinant human erythropoietin (rhEpo) was administered to 14 patients with myelodysplastic syndrome (MDS) and seven patients with aplastic anemia (AA). In 19 patients, doses of 6000 units were given intravenously three times a week (t.i.w.) with the dose being doubled up to 24,000 units every 8 weeks until a response was obtained. RhEpo was given subcutaneously in two patients. Seven patients, four with MDS and three with AA, showed a significant response with an increase of hemoglobin concentration during therapy. The response occurred at doses of 12,000 units in five and 24,000 units in two patients. Responding patients with both MDS and AA had a relatively low serum Epo (s-Epo) level prior to Epo therapy. MDS responders had either refractory anemia (RA) or RA with ring sideroblasts (RARS), while two of the Epo responders in AA had a severe form of the disease. However, since some of the Epo responders had a high initial s-Epo concentration, a high s-Epo level does not preclude the use of rhEpo. Serial determination of s-Epo levels showed a progressive decline in six of the seven responders even when they were on rhEpo therapy, while the s-Epo levels remained elevated or further increased with time in most nonresponders. RhEpo was well tolerated by all patients. The results suggest that rhEpo is a safe and effective treatment for a certain proportion of patients with MDS and AA. Moreover, serial determination of s-Epo during therapy may be useful in monitoring and predicting the therapeutic effect of rhEpo.