Simulation of Hubbard model physics in WSe2/WS2 moiré superlattices.

Abstract:

:The Hubbard model, formulated by physicist John Hubbard in the 1960s1, is a simple theoretical model of interacting quantum particles in a lattice. The model is thought to capture the essential physics of high-temperature superconductors, magnetic insulators and other complex quantum many-body ground states2,3. Although the Hubbard model provides a greatly simplified representation of most real materials, it is nevertheless difficult to solve accurately except in the one-dimensional case2,3. Therefore, the physical realization of the Hubbard model in two or three dimensions, which can act as an analogue quantum simulator (that is, it can mimic the model and simulate its phase diagram and dynamics4,5), has a vital role in solving the strong-correlation puzzle, namely, revealing the physics of a large number of strongly interacting quantum particles. Here we obtain the phase diagram of the two-dimensional triangular-lattice Hubbard model by studying angle-aligned WSe2/WS2 bilayers, which form moiré superlattices6 because of the difference between the lattice constants of the two materials. We probe the charge and magnetic properties of the system by measuring the dependence of its optical response on an out-of-plane magnetic field and on the gate-tuned carrier density. At half-filling of the first hole moiré superlattice band, we observe a Mott insulating state with antiferromagnetic Curie-Weiss behaviour, as expected for a Hubbard model in the strong-interaction regime2,3,7-9. Above half-filling, our experiment suggests a possible quantum phase transition from an antiferromagnetic to a weak ferromagnetic state at filling factors near 0.6. Our results establish a new solid-state platform based on moiré superlattices that can be used to simulate problems in strong-correlation physics that are described by triangular-lattice Hubbard models.

journal_name

Nature

journal_title

Nature

authors

Tang Y,Li L,Li T,Xu Y,Liu S,Barmak K,Watanabe K,Taniguchi T,MacDonald AH,Shan J,Mak KF

doi

10.1038/s41586-020-2085-3

subject

Has Abstract

pub_date

2020-03-01 00:00:00

pages

353-358

issue

7799

eissn

0028-0836

issn

1476-4687

pii

10.1038/s41586-020-2085-3

journal_volume

579

pub_type

杂志文章

相关文献

NATURE文献大全
  • Cyclin D-CDK4 kinase destabilizes PD-L1 via cullin 3-SPOP to control cancer immune surveillance.

    abstract::Treatments that target immune checkpoints, such as the one mediated by programmed cell death protein 1 (PD-1) and its ligand PD-L1, have been approved for treating human cancers with durable clinical benefit. However, many patients with cancer fail to respond to compounds that target the PD-1 and PD-L1 interaction, an...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature25015

    authors: Zhang J,Bu X,Wang H,Zhu Y,Geng Y,Nihira NT,Tan Y,Ci Y,Wu F,Dai X,Guo J,Huang YH,Fan C,Ren S,Sun Y,Freeman GJ,Sicinski P,Wei W

    更新日期:2018-01-04 00:00:00

  • The nucleotide sequence of an RNA polymerase binding site on bacteriophage fd DNA.

    abstract::The nucleotide sequence of the RNA polymerase binding site at a promotor on fd RF DNA has been determined in comparison with the starting sequence of RNA initiated at this promoter. The RNA polymerase binding site contained the startpoint of transcription in the centre and a region with twofold symmetry in the non-tra...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/253410a0

    authors: Sugimoto K,Okamoto T,Sugisaki H,Takanami M

    更新日期:1975-02-06 00:00:00

  • Maternal mRNA deadenylation and decay by the piRNA pathway in the early Drosophila embryo.

    abstract::Piwi-associated RNAs (piRNAs), a specific class of 24- to 30-nucleotide-long RNAs produced by the Piwi-type of Argonaute proteins, have a specific germline function in repressing transposable elements. This repression is thought to involve heterochromatin formation and transcriptional and post-transcriptional silencin...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature09465

    authors: Rouget C,Papin C,Boureux A,Meunier AC,Franco B,Robine N,Lai EC,Pelisson A,Simonelig M

    更新日期:2010-10-28 00:00:00

  • Measurement of a confinement induced neutron phase.

    abstract::Particle physicists see neutrons as tiny massive particles with a confinement radius of about 0.7 fm and a distinct internal quark gluon structure. In quantum mechanics, neutrons are described by wave packets whose spatial extent may become ten orders of magnitude larger than the confinement radius, and can even reach...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature00773

    authors: Rauch H,Lemmel H,Baron M,Loidl R

    更新日期:2002-06-06 00:00:00

  • Mitochondrial complex III is essential for suppressive function of regulatory T cells.

    abstract::Regulatory T cells (Treg cells), a distinct subset of CD4+ T cells, are necessary for the maintenance of immune self-tolerance and homeostasis1,2. Recent studies have demonstrated that Treg cells exhibit a unique metabolic profile, characterized by an increase in mitochondrial metabolism relative to other CD4+ effecto...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/s41586-018-0846-z

    authors: Weinberg SE,Singer BD,Steinert EM,Martinez CA,Mehta MM,Martínez-Reyes I,Gao P,Helmin KA,Abdala-Valencia H,Sena LA,Schumacker PT,Turka LA,Chandel NS

    更新日期:2019-01-01 00:00:00

  • Accessory cell-dependent selection of specific T-cell functions.

    abstract::Activation of many T-cell functions depends on their interaction with antigen-presenting accessory cells which express I region associated (Ia) products. Cells expressing accessory cell function include those of the monocyte/macrophage lineage and dendritic cells. More recently, B cells and a number of tumour cell lin...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/304442a0

    authors: Ramila G,Erb P

    更新日期:1983-08-04 00:00:00

  • Multiplicative computation in a visual neuron sensitive to looming.

    abstract::Multiplicative operations are important in sensory processing, but their biophysical implementation remains largely unknown. We investigated an identified neuron (the lobula giant movement detector, LGMD, of locusts) whose output firing rate in response to looming visual stimuli has been described by two models, one o...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature01190

    authors: Gabbiani F,Krapp HG,Koch C,Laurent G

    更新日期:2002-11-21 00:00:00

  • Epigenetic inheritance mediated by coupling of RNAi and histone H3K9 methylation.

    abstract::Histone post-translational modifications (PTMs) are associated with epigenetic states that form the basis for cell-type-specific gene expression1,2. Once established, histone PTMs can be maintained by positive feedback involving enzymes that recognize a pre-existing histone modification and catalyse the same modificat...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/s41586-018-0239-3

    authors: Yu R,Wang X,Moazed D

    更新日期:2018-06-01 00:00:00

  • Anaerobic microbial metabolism can proceed close to thermodynamic limits.

    abstract::Many fermentative bacteria obtain energy for growth by reactions in which the change in free energy (DeltaG') is less than that needed to synthesize ATP. These bacteria couple substrate metabolism directly to ATP synthesis, however, by classical phosphoryl transfer reactions. An explanation for the energy economy of t...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/415454a

    authors: Jackson BE,McInerney MJ

    更新日期:2002-01-24 00:00:00

  • Cooperating with the future.

    abstract::Overexploitation of renewable resources today has a high cost on the welfare of future generations. Unlike in other public goods games, however, future generations cannot reciprocate actions made today. What mechanisms can maintain cooperation with the future? To answer this question, we devise a new experimental para...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature13530

    authors: Hauser OP,Rand DG,Peysakhovich A,Nowak MA

    更新日期:2014-07-10 00:00:00

  • Coexistence of Fermi arcs and Fermi pockets in a high-T(c) copper oxide superconductor.

    abstract::In the pseudogap state of the high-transition-temperature (high-T(c)) copper oxide superconductors, angle-resolved photoemission (ARPES) measurements have seen Fermi arcs-that is, open-ended gapless sections in the large Fermi surface-rather than a closed loop expected of an ordinary metal. This is all the more puzzli...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature08521

    authors: Meng J,Liu G,Zhang W,Zhao L,Liu H,Jia X,Mu D,Liu S,Dong X,Zhang J,Lu W,Wang G,Zhou Y,Zhu Y,Wang X,Xu Z,Chen C,Zhou XJ

    更新日期:2009-11-19 00:00:00

  • Vasopressin alters female sexual behaviour by acting on the brain independently of alterations in blood pressure.

    abstract::Subcutaneous (s.c.) administration of Arg-vasopressin (AVP) prolongs retention of a learned behaviour and elevates arterial blood pressure. Intracerebroventricular (i.c.v.) injection of a thousandfold lower dose of AVP than needed with s.c. injection produces the same behavioural effect, suggesting that AVP acts on th...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/301608a0

    authors: Södersten P,Henning M,Melin P,Ludin S

    更新日期:1983-02-17 00:00:00

  • Martian stepped-delta formation by rapid water release.

    abstract::Deltas and alluvial fans preserved on the surface of Mars provide an important record of surface water flow. Understanding how surface water flow could have produced the observed morphology is fundamental to understanding the history of water on Mars. To date, morphological studies have provided only minimum time esti...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature06615

    authors: Kraal ER,van Dijk M,Postma G,Kleinhans MG

    更新日期:2008-02-21 00:00:00

  • Cortical area MT and the perception of stereoscopic depth.

    abstract::Stereopsis is the perception of depth based on small positional differences between images formed on the two retinae (known as binocular disparity). Neurons that respond selectively to binocular disparity were first described three decades ago, and have since been observed in many visual areas of the primate brain, in...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/29299

    authors: DeAngelis GC,Cumming BG,Newsome WT

    更新日期:1998-08-13 00:00:00

  • Regulation by cAMP-dependent protein kinease of a G-protein-mediated phospholipase C.

    abstract::The heterotrimeric G proteins mediate a variety of cellular processes by coupling transmembrane receptors to different effector molecules, including adenylyl cyclases and inositol-phospholipid-specific phospholipase C (PLC)1-3. Activation of adenylyl cyclases results in the production of cyclic AMP and activation of c...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/382083a0

    authors: Liu M,Simon MI

    更新日期:1996-07-04 00:00:00

  • Identification of the BAL-labile factor.

    abstract::One of us has previously reported that treatment of the Keilin and Hartree heart-muscle preparation with 2,3-dimercaptopropanol (BAL), in the presence of air, leads to the complete inactivation of the succinate oxidase system with little if any effect on the activities of succinate dehydrogenase (until more than half ...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/288717a0

    authors: Slater EC,de Vries S

    更新日期:1980-12-25 00:00:00

  • Author Correction: Anti-tumour immunity controlled through mRNA m6A methylation and YTHDF1 in dendritic cells.

    abstract::In this Letter, a citation to 'Fig. 1e' has been corrected to 'Fig. 1d' in the sentence starting "By contrast, the anti-tumour response…". This has been corrected online. ...

    journal_title:Nature

    pub_type: 已发布勘误

    doi:10.1038/s41586-019-1046-1

    authors: Han D,Liu J,Chen C,Dong L,Liu Y,Chang R,Huang X,Liu Y,Wang J,Dougherty U,Bissonnette MB,Shen B,Weichselbaum RR,Xu MM,He C

    更新日期:2019-04-01 00:00:00

  • Carbon isotope composition of individual amino acids in the Murchison meteorite.

    abstract::A significant portion of prebiotic organic matter on the early Earth may have been introduced by carbonaceous asteroids and comets. The distribution and stable-isotope composition of individual organic compounds in carbonaceous meteorites, which are thought to be derived from asteroidal parent bodies, may therefore pr...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/348047a0

    authors: Engel MH,Macko SA,Silfer JA

    更新日期:1990-11-01 00:00:00

  • Spatial distribution of cellular protein binding to retinoic acid in the chick limb bud.

    abstract::Retinoic acid may be the natural morphogen used to generate digit pattern in the chick limb bud. It has been proposed that retinoic acid acts by binding to a cellular retinoic acid-binding protein (CRABP) and then entering the nucleus to alter the pattern of gene activity. High-affinity receptors that bind both retino...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/335733a0

    authors: Maden M,Ong DE,Summerbell D,Chytil F

    更新日期:1988-10-20 00:00:00

  • Sub1A is an ethylene-response-factor-like gene that confers submergence tolerance to rice.

    abstract::Most Oryza sativa cultivars die within a week of complete submergence--a major constraint to rice production in south and southeast Asia that causes annual losses of over US 1 billion dollars and affects disproportionately the poorest farmers in the world. A few cultivars, such as the O. sativa ssp. indica cultivar FR...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature04920

    authors: Xu K,Xu X,Fukao T,Canlas P,Maghirang-Rodriguez R,Heuer S,Ismail AM,Bailey-Serres J,Ronald PC,Mackill DJ

    更新日期:2006-08-10 00:00:00

  • Horizontal endosymbiont transmission in hydrothermal vent tubeworms.

    abstract::Transmission of obligate bacterial symbionts between generations is vital for the survival of the host. Although the larvae of certain hydrothermal vent tubeworms (Vestimentifera, Siboglinidae) are symbiont-free and possess a transient digestive system, these structures are lost during development, resulting in adult ...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature04793

    authors: Nussbaumer AD,Fisher CR,Bright M

    更新日期:2006-05-18 00:00:00

  • Increased CO2 uncouples growth from isoprene emission in an agriforest ecosystem.

    abstract::The emission of isoprene from the leaves of forest trees is a fundamental component of biosphere-atmosphere interactions, controlling many aspects of photochemistry in the lower atmosphere. As almost all commercial agriforest species emit high levels of isoprene, proliferation of agriforest plantations has significant...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature01312

    authors: Rosenstiel TN,Potosnak MJ,Griffin KL,Fall R,Monson RK

    更新日期:2003-01-16 00:00:00

  • Biosignatures as revealed by spectropolarimetry of Earthshine.

    abstract::Low-resolution intensity spectra of Earth's atmosphere obtained from space reveal strong signatures of life ('biosignatures'), such as molecular oxygen and methane with abundances far from chemical equilibrium, as well as the presence of a 'red edge' (a sharp increase of albedo for wavelengths longer than 700 nm) caus...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature10778

    authors: Sterzik MF,Bagnulo S,Palle E

    更新日期:2012-02-29 00:00:00

  • A glial progenitor cell that develops in vitro into an astrocyte or an oligodendrocyte depending on culture medium.

    abstract::We have identified a cell type in 7-day-old rat optic nerve that differentiates into a fibrous astrocyte if cultured in the presence of fetal calf serum and into an oligodendrocyte if cultured in the absence of serum. In certain culture conditions some of these cells acquire a mixed phenotype, displaying properties of...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/303390a0

    authors: Raff MC,Miller RH,Noble M

    更新日期:1983-06-02 00:00:00

  • Role of the ubiquitin-like protein Hub1 in splice-site usage and alternative splicing.

    abstract::Alternative splicing of pre-messenger RNAs diversifies gene products in eukaryotes and is guided by factors that enable spliceosomes to recognize particular splice sites. Here we report that alternative splicing of Saccharomyces cerevisiae SRC1 pre-mRNA is promoted by the conserved ubiquitin-like protein Hub1. Structu...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature10143

    authors: Mishra SK,Ammon T,Popowicz GM,Krajewski M,Nagel RJ,Ares M Jr,Holak TA,Jentsch S

    更新日期:2011-05-25 00:00:00

  • Developmental basis of limblessness and axial patterning in snakes.

    abstract::The evolution of snakes involved major changes in vertebrate body plan organization, but the developmental basis of those changes is unknown. The python axial skeleton consists of hundreds of similar vertebrae, forelimbs are absent and hindlimbs are severely reduced. Combined limb loss and trunk elongation is found in...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/20944

    authors: Cohn MJ,Tickle C

    更新日期:1999-06-03 00:00:00

  • Visual input evokes transient and strong shunting inhibition in visual cortical neurons.

    abstract::The function and nature of inhibition of neurons in the visual cortex have been the focus of both experimental and theoretical investigations. There are two ways in which inhibition can suppress synaptic excitation. In hyperpolarizing inhibition, negative and positive currents sum linearly to produce a net change in m...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/30735

    authors: Borg-Graham LJ,Monier C,Frégnac Y

    更新日期:1998-05-28 00:00:00

  • Strain effects and phase transitions in photonic resonator crystals.

    abstract::Optical structures with periodic variations of the dielectric constant in one or more directions (photonic crystals) have been employed extensively for studying optical diffraction phenomena. Practical interest in such structures arises from the possibilities they offer for tailoring photon modes, and thereby the char...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/35038026

    authors: Pier H,Kapon E,Moser M

    更新日期:2000-10-19 00:00:00

  • The ATM repair pathway inhibits RNA polymerase I transcription in response to chromosome breaks.

    abstract::DNA lesions interfere with DNA and RNA polymerase activity. Cyclobutane pyrimidine dimers and photoproducts generated by ultraviolet irradiation cause stalling of RNA polymerase II, activation of transcription-coupled repair enzymes, and inhibition of RNA synthesis. During the S phase of the cell cycle, collision of r...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature05842

    authors: Kruhlak M,Crouch EE,Orlov M,Montaño C,Gorski SA,Nussenzweig A,Misteli T,Phair RD,Casellas R

    更新日期:2007-06-07 00:00:00

  • Cloning and expression of a rat brain L-glutamate transporter.

    abstract::Synaptic transmission of most vertebrate synapses is thought to be terminated by rapid transport of the neurotransmitter into presynaptic nerve terminals or neuroglia. L-Glutamate is the major excitatory transmitter in brain and its transport represents the mechanism by which it is removed from the synaptic cleft and ...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/360464a0

    authors: Pines G,Danbolt NC,Bjørås M,Zhang Y,Bendahan A,Eide L,Koepsell H,Storm-Mathisen J,Seeberg E,Kanner BI

    更新日期:1992-12-03 00:00:00