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Article 
Pseudogap in a crystalline insulator doped by disordered metals
A backbending band structure and an emerging pseudogap are observed at the interface between a crystalline solid (black phosphorus) and disordered alkalimetal dopants.
 Sae Hee Ryu
 , Minjae Huh
 & Keun Su Kim

Article 
Quantized nonlinear Thouless pumping
Nonlinearity is shown to induce quantized topological transport via soliton motion; specifically, we demonstrate nonlinear Thouless pumping of photons in waveguide arrays with a nonuniformly occupied energy band.
 Marius Jürgensen
 , Sebabrata Mukherjee
 & Mikael C. Rechtsman

Article 
Emergent order in hydrodynamic spin lattices
A macroscopic analogue of a spin system is shown to emerge in an ensemble of droplets bouncing on the surface of a vibrating bath, revealing symmetrybreaking phenomena such as ‘magnetic’ ordering.
 Pedro J. Sáenz
 , Giuseppe Pucci
 & John W. M. Bush

Article 
Spectroscopic evidence for a goldcoloured metallic water solution
Spectroscopic measurements confirm that when water is adsorbed on drops of an alkali alloy at low pressure a goldcoloured metallic layer forms as electrons rapidly move from the drop into the water.
 Philip E. Mason
 , H. Christian Schewe
 & Pavel Jungwirth

Article 
Incoherent transport across the strangemetal regime of overdoped cuprates
Measurements of highfield magnetotransport in overdoped cuprates indicate that the strangemetal regime exists beyond the critical doping, and that it has both coherent and incoherent contributions.
 J. Ayres
 , M. Berben
 & N. E. Hussey

Article 
A natively flexible 32bit Arm microprocessor
Flexible electronic platforms would enable the integration of functional electronic circuitry with many everyday objects; here, a lowcost and fully flexible 32bit microprocessor is produced.
 John Biggs
 , James Myers
 & Scott White

Article 
Paulilimit violation and reentrant superconductivity in moiré graphene
A large violation of the Pauli limit and reentrant superconductivity in a magnetic field is reported for magicangle twisted trilayer graphene, suggesting that the spin configuration of the superconducting state of this material is unlikely to consist of spin singlets.
 Yuan Cao
 , Jeong Min Park
 & Pablo JarilloHerrero

Article 
Freeelectron lasing at 27 nanometres based on a laser wakefield accelerator
Lasing in the extremeultraviolet range is demonstrated using a laser wakefield accelerator, as a step towards compact Xray freeelectron lasers.
 Wentao Wang
 , Ke Feng
 & Zhizhan Xu

Article 
Extreme flow simulations reveal skeletal adaptations of deepsea sponges
Highperformance hydrodynamic simulations show that the skeletal structure of the deepsea sponge Euplectella aspergillum reduces the hydrodynamic stresses on it, while possibly being beneficial for feeding and reproduction.
 Giacomo Falcucci
 , Giorgio Amati
 & Sauro Succi

Article
 Open AccessExponential suppression of bit or phase errors with cyclic error correction
Repetition codes running many cycles of quantum error correction achieve exponential suppression of errors with increasing numbers of qubits.
 Zijun Chen
 , Kevin J. Satzinger
 & Julian Kelly

Article 
Realtime optimal quantum control of mechanical motion at room temperature
Optimal quantum control of an optically trapped nanoparticle in its ground state is demonstrated at room temperature, using Kalman filtering to track its quantum trajectory in real time.
 Lorenzo Magrini
 , Philipp Rosenzweig
 & Markus Aspelmeyer

Article 
Quantum control of a nanoparticle optically levitated in cryogenic free space
Quantum control of an optically levitated nanoparticle with a mass of just one femtogram is demonstrated in a cryogenic environment by feedbackcooling the motion of the particle to the quantum ground state.
 Felix Tebbenjohanns
 , M. Luisa Mattana
 & Lukas Novotny

Article 
Quantum phases of matter on a 256atom programmable quantum simulator
A programmable quantum simulator with 256 qubits is created using neutral atoms in twodimensional optical tweezer arrays, demonstrating a quantum phase transition and revealing new quantum phases of matter.
 Sepehr Ebadi
 , Tout T. Wang
 & Mikhail D. Lukin

Article 
Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
Programmable quantum simulation of twodimensional antiferromagnets is achieved with up to 196 neutral atoms, and the capability of the platform is demonstrated on square and triangular arrays.
 Pascal Scholl
 , Michael Schuler
 & Antoine Browaeys

Article 
Demonstration of a trappedion atomic clock in space
Operating in space, NASA’s Deep Space Atomic Clock, a trappedion clock, is shown to have longterm stability and drift that are an order of magnitude better than current space clocks.
 E. A. Burt
 , J. D. Prestage
 & T. A. Ely

Article 
Bilayer Wigner crystals in a transition metal dichalcogenide heterostructure
Optical signatures reveal correlated insulating Wigner crystals—electron solids—in a bilayer of a twodimensional transition metal dichalcogenide, MoSe_{2}, with hexagonal boron nitride between the layers.
 You Zhou
 , Jiho Sung
 & Hongkun Park

Article 
Cellular fluidics
Cellular fluidics provides a platform of unitcellbased, threedimensional structures for the deterministic control of multiphase flow, transport and reaction processes.
 Nikola A. Dudukovic
 , Erika J. Fong
 & Eric B. Duoss

Article 
Efficient Fizeau drag from Dirac electrons in monolayer graphene
Fizeau drag of plasmon polaritons by an electron flow in strongly biased monolayer graphene is directly observed by exploiting the high electron mobility and slow plasmon propagation of Dirac electrons.
 Wenyu Zhao
 , Sihan Zhao
 & Feng Wang

Article 
Fizeau drag in graphene plasmonics
Direct infrared nanoimaging of plasmonic waves in graphene carrying high current density reveals the Fizeau drag of plasmon polaritons by fastmoving quasirelativistic electrons.
 Y. Dong
 , L. Xiong
 & D. N. Basov

Article 
Accurately computing the electronic properties of a quantum ring
As a blueprint for highprecision quantum simulation, an 18qubit algorithm that consists of more than 1,400 twoqubit gates is demonstrated, and reconstructs the energy eigenvalues of the simulated onedimensional wire to a precision of 1 per cent.
 C. Neill
 , T. McCourt
 & V. Smelyanskiy

Article 
Correlated charge noise and relaxation errors in superconducting qubits
Cosmicray particles and γrays striking superconducting circuits can generate qubit errors that are spatially correlated across several millimetres, hampering current errorcorrection approaches.
 C. D. Wilen
 , S. Abdullah
 & R. McDermott

Article
 Open AccessSymmetryenforced topological nodal planes at the Fermi surface of a chiral magnet
Measurements on a chiral magnet show that nonsymmorphic symmetries enforce topological crossings exactly at the Fermi level in certain materials; these crossings can be controlled by an applied magnetic field.
 Marc A. Wilde
 , Matthias Dodenhöft
 & Christian Pfleiderer

Article 
Localization atomic force microscopy
A localization algorithm is applied to datasets obtained with conventional and highspeed atomic force microscopy to increase image resolution beyond the limits set by the radius of the tip used.
 George R. Heath
 , Ekaterina Kots
 & Simon Scheuring

Article 
Observation of first and second sound in a BKT superfluid
First and second sound are experimentally observed in a twodimensional superfluid, and the temperaturedependent sound speeds reveal the predicted jump in the superfluid density at the infiniteorder Berezinskii–Kosterlitz–Thouless transition.
 Panagiotis Christodoulou
 , Maciej Gałka
 & Zoran Hadzibabic

Article 
Experimental observation of nonAbelian topological charges and edge states
NonAbelian topological charges and edge states in a PTsymmetric transmission line network are experimentally observed, and a nonAbelian quotient relation for the bulk–edge correspondence is found.
 Qinghua Guo
 , Tianshu Jiang
 & C. T. Chan


Matters Arising 
Possible overestimation of isomer depletion due to contamination
 Song Guo
 , Yongde Fang
 & C. M. Petrache

Matters Arising 
Reply to: Possible overestimation of isomer depletion due to contamination
 C. J. Chiara
 , J. J. Carroll
 & A. B. Hayes

Article 
Asymmetric response of interfacial water to applied electric fields
Experimental measurements of vibrational sumfrequency generation spectra indicate that the dielectric response of water near an electrode may be strongly asymmetric, with different responses to positive and negative electrode charge.
 Angelo Montenegro
 , Chayan Dutta
 & Alexander V. Benderskii

Article 
Telecomheralded entanglement between multimode solidstate quantum memories
Robust heralded entanglement between two solidstate quantum memories with temporal multiplexing is realized using photons at telecommunication wavelengths.
 Dario LagoRivera
 , Samuele Grandi
 & Hugues de Riedmatten

Article 
Heralded entanglement distribution between two absorptive quantum memories
Heralded entanglement is realized between two solidstate absorptive quantum memories 3.5 metres apart and with a bandwidth of 1 gigahertz, and with a fidelity of approximately 80%.
 Xiao Liu
 , Jun Hu
 & GuangCan Guo

Article 
Longrange nontopological edge currents in chargeneutral graphene
Nanoscale imaging of edge currents in chargeneutral graphene shows that charge accumulation can explain various exotic nonlocal transport measurements, bringing into question some theories about their origins.
 A. AharonSteinberg
 , A. Marguerite
 & E. Zeldov

Article 
Evidence of hydrogen−helium immiscibility at Jupiterinterior conditions
Hydrogen and helium mixtures can be compressed to the extreme temperature and pressure conditions found in the interior of Jupiter and Saturn, and the immiscibility revealed supports models of Jupiter that invoke a layered interior.
 S. Brygoo
 , P. Loubeyre
 & G. W. Collins

Article 
The universal visitation law of human mobility
Using largescale mobility data from diverse cities around the globe, a simple and robust scaling law that captures the temporal and spatial range of population movement is revealed.
 Markus Schläpfer
 , Lei Dong
 & Geoffrey B. West

Article 
Tunable noninteger highharmonic generation in a topological insulator
Highharmonic generation from the Diraclike surface state of a topological insulator is separated from bulk contributions and continuously tuned by the carrierenvelope phase of the driving lightwave.
 C. P. Schmid
 , L. Weigl
 & R. Huber

Perspective 
The datadriven future of highenergydensity physics
This Perspective discusses how highenergydensity physics could tap the potential of AIinspired algorithms for extracting relevant information and how datadriven automatic control routines may be used for optimizing highrepetitionrate experiments.
 Peter W. Hatfield
 , Jim A. Gaffney
 & Ben Williams

Article 
Precision test of statistical dynamics with statetostate ultracold chemistry
The chemical reaction 2KRb → K_{2} + Rb_{2} is studied under ultralow temperatures at the quantum statetostate level, allowing unprecedented details of the reaction dynamics to be observed.
 Yu Liu
 , MingGuang Hu
 & KangKuen Ni

Article 
CMOSbased cryogenic control of silicon quantum circuits
A cryogenic CMOS control chip operating at 3 K is used to demonstrate coherent control and simple algorithms on silicon qubits operating at 20 mK.
 Xiao Xue
 , Bishnu Patra
 & Lieven M. K. Vandersypen

Article 
Rashba valleys and quantum Hall states in fewlayer black arsenic
Twodimensional electronic systems in fewlayer black arsenic show gatetunable Rashba bands with unique spin–valley flavours and unconventional quantum Hall states due to synergetic spin–orbit coupling and the Stark effect.
 Feng Sheng
 , Chenqiang Hua
 & Yi Zheng

Article 
Transition from an atomic to a molecular Bose–Einstein condensate
A BoseEinstein condensate of molecules is produced by pairing atoms in an atomic condensate; this transition is the bosonic analog of the BardeenCooperSchrieffer superfluid to BEC crossover in Fermi gases.
 Zhendong Zhang
 , Liangchao Chen
 & Cheng Chin

Article 
Direct assessment of the acidity of individual surface hydroxyls
Noncontact atomic force microscopy measurements are used to probe the hydrogen bond strength of individual surface hydroxyl groups and determine their acidity with atomic precision.
 Margareta Wagner
 , Bernd Meyer
 & Ulrike Diebold

Article 
A quantum magnetic analogue to the critical point of water
The pressure dependence and magnetic field dependence of the specific heat of a quantum magnet, SrCu_{2}(BO_{3})_{2}, demonstrate that its phase diagram contains a line of firstorder transitions terminating at a critical point, in analogy with water.
 J. Larrea Jiménez
 , S. P. G. Crone
 & F. Mila

Article 
Subterahertz collective dynamics of polar vortices
A dynamical study shows that vortices of electrical polarization have higher frequencies and smaller size than their magnetic counterparts, properties that are promising for electricfielddriven data processing.
 Qian Li
 , Vladimir A. Stoica
 & Haidan Wen

Article 
Nonreciprocal phase transitions
A theoretical study of nonreciprocity in collective phenomena reveals the emergence of timedependent phases heralded by exceptional points in contexts ranging from synchronization and flocking to pattern formation.
 Michel Fruchart
 , Ryo Hanai
 & Vincenzo Vitelli

Article 
Demonstration of the trappedion quantum CCD computer architecture
The quantum chargecoupled device architecture is demonstrated, with its various elements integrated into a programmable trappedion quantum computer and performing simple quantum operations with stateoftheart levels of error.
 J. M. Pino
 , J. M. Dreiling
 & B. Neyenhuis

Article 
Entropic evidence for a Pomeranchuk effect in magicangle graphene
Magicangle graphene is found to have an exotic phase transition where, on heating, entropy is transferred from motional to magnetic degrees of freedom, analogously to the Pomeranchuk effect in ^{3}He.
 Asaf Rozen
 , Jeong Min Park
 & Shahal Ilani

Article 
Leading hadronic contribution to the muon magnetic moment from lattice QCD
A precise theoretical computation of the anomalous magnetic moment of the muon based on ab initio quantum chromodynamics and quantum electrodynamics calculations is presented, which favours the existing experimental values.
 Sz. Borsanyi
 , Z. Fodor
 & L. Varnhorst

Article
 Open AccessLaser cooling of antihydrogen atoms
The successful laser cooling of trapped antihydrogen, the antimatter atom formed by an antiproton and a positron (antielectron), is reported.
 C. J. Baker
 , W. Bertsche
 & J. S. Wurtele

Article 
Flavour Hund’s coupling, Chern gaps and charge diffusivity in moiré graphene
Chemical potential measurements in twisted bilayer graphene reveal the importance of Coulomb repulsion and exchange interactions in the symmetrybroken ground state, and provide the charge diffusivity in the strangemetal regime.
 Jeong Min Park
 , Yuan Cao
 & Pablo JarilloHerrero
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