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Recent experiments report the existence of ferromagnetic and superconducting fluctuations in graphite at unexpectedly high temperatures. The interplay of disorder and interactions in a 2D graphene layer is shown to give rise to a rich phase…

Strongly Correlated Electrons · Physics 2009-11-10 M. A. H. Vozmediano , F. Guinea , M. P. Lopez-Sancho

The 0+1-d Sachdev-Ye-Kitaev (SYK) fermionic model attracts nowadays a wide spread interest of the Condensed Matter community, as a benchmark toy model for strong electron correlation and non Fermi Liquid behavior. It is exactly solvable in…

Strongly Correlated Electrons · Physics 2022-04-06 A. Tagliacozzo

The Sachdev-Ye-Kitaev (SYK) model is a cornerstone in the study of quantum chaos and holographic quantum matter. Real-world implementations, however, deviate from the idealized all-to-all connectivity, raising questions about the robustness…

Statistical Mechanics · Physics 2024-12-20 Andrea Legramandi , Soumik Bandyopadhyay , Philipp Hauke

The Sachdev-Ye-Kitaev (SYK) model describes a strongly correlated metal with all-to-all random interactions (average strength $J$) between $N$ fermions (complex Dirac fermions or real Majorana fermions). In the large-$N$ limit a conformal…

Mesoscale and Nanoscale Physics · Physics 2018-10-09 N. V. Gnezdilov , J. A. Hutasoit , C. W. J. Beenakker

Stacking two graphene layers twisted by the 'magic angle' $\theta \approx 1.1^\circ$ generates flat energy bands, which in turn catalyzes various strongly correlated phenomena depending on filling and sample details. At charge neutrality,…

Strongly Correlated Electrons · Physics 2021-03-24 Alex Thomson , Jason Alicea

Models for strongly interacting fermions in disordered clusters forming an array, with electron hopping between sites, reproduce the linear dependence on temperature of the resistivity, typical of the strange metal phase of High Temperature…

Strongly Correlated Electrons · Physics 2021-12-17 F. Salvati , A. Tagliacozzo

We show that electron states in disordered graphene, with an onsite potential that induces inter-valley scattering, are localised for all energies at disorder as small as 1/6 of the band width of clean graphene. We clarify that, in order…

Mesoscale and Nanoscale Physics · Physics 2013-11-08 C. González-Santander , F. Domínguez-Adame , M. Hilke , R. A. Römer

We study the phases of correlated charge-density waves that form at a high magnetic field in two parallel graphene flakes separated by a thin insulator. The predicted phases include the square and hexagonal charge-density-wave bubbles, and…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Csaba Toke , Vladimir I. Fal'ko

In this letter we construct a large-N exactly solvable model to study the interplay between interaction and topology, by connecting Sacheve-Ye-Kitaev (SYK) model with constant hopping. The hopping forms a band structure that can exhibit…

Strongly Correlated Electrons · Physics 2018-05-30 Pengfei Zhang , Hui Zhai

The growing interest in carbon-based spintronics has stimulated a number of recent theoretical studies on the RKKY interaction in graphene, based on which the energetically favourable alignment between magnetic moments embedded in this…

Mesoscale and Nanoscale Physics · Physics 2012-05-09 S. R. Power , F. S. M. Guimaraes , A. T. Costa , R. B. Muniz , M. S. Ferreira

The simulation of the transition sequence of superheated Type I superconducting granules (SSG) in disordered suspensions when an external magnetic field is slowly increased from zero has been studied. Simulation takes into account…

Classical Physics · Physics 2009-11-07 A. Penaranda , C. E. Auguet , L. Ramirez-Piscina

The Sachdev-Ye-Kitaev (SYK) model is a concrete solvable model to study non-Fermi liquid properties, holographic duality and maximally chaotic behavior. In this work, we consider a generalization of the SYK model that contains two SYK…

Strongly Correlated Electrons · Physics 2017-11-22 Xin Chen , Ruihua Fan , Yiming Chen , Hui Zhai , Pengfei Zhang

We report on magneto-transport measurement in disordered graphene under pulsed magnetic field of up to 57T. For large electron or hole doping, the system displays the expected anomalous Integer Quantum Hall Effect (IQHE) specific to…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 J. M. Poumirol , W. Escoffier , A. Kumar , M. Goiran , B. Raquet , J. M. Broto

We study how Sachdev-Ye-Kitaev (SYK) interactions can arise from localized single-particle states on a system that is effectively one dimensional. If a local interaction is projected onto coarse localized orbitals, the resulting couplings…

Strongly Correlated Electrons · Physics 2026-05-04 Hrant Topchyan , Tigran A. Sedrakyan

Sachdev-Ye-Kitaev (SYK) is a concrete solvable model with non-Fermi liquid behavior and maximal chaos. In this work, we study the entanglement R\'enyi entropy for the subsystems of the SYK model in the Kourkoulou-Maldacena states. We use…

High Energy Physics - Theory · Physics 2020-11-05 Pengfei Zhang

The electronic properties of a triaxially strained hexagonal graphene flake with either armchair or zig-zag edges are investigated using molecular dynamics simulations and tight-binding calculations. We found that: i) the pseudo-magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 M. Neek-Amal , L. Covaci , Kh. Shakouri , F. M. Peeters

One of the most promising routes to non-fermi liquids and strange metals has been through SYK models \cite{Sachdev:2010um}, which necessarily involve large flavor degrees of freedom and interactions with imposed disorder. We introduce an…

Strongly Correlated Electrons · Physics 2024-02-07 G. C. Levine

We study the thermodynamic properties of a two-site coupled complex Sachdev-Ye-Kitaev (SYK) model in the large $N$ limit by solving the saddle-point Schwinger-Dyson (SD) equations. We find that its phase diagram is richer than in the…

High Energy Physics - Theory · Physics 2021-06-02 Antonio M. García-García , Jie Ping Zheng , Vaios Ziogas

A pair of identical Sachdev-Ye-Kitaev (SYK) models with bilinear coupling forms a quantum dual of a traversable wormhole, with a ground state close to the so called thermofield double state. We use adiabaticity arguments and numerical…

Strongly Correlated Electrons · Physics 2021-07-28 Rafael Haenel , Sharmistha Sahoo , Timothy H. Hsieh , Marcel Franz

The two-dimensional Yukawa-Sachdev-Ye-Kitaev (2d-YSYK) model provides a universal theory of quantum phase transitions in metals in the presence of quenched random spatial fluctuations in the local position of the quantum critical point. It…

Strongly Correlated Electrons · Physics 2024-11-18 Chenyuan Li , Davide Valentinis , Aavishkar A. Patel , Haoyu Guo , Jörg Schmalian , Subir Sachdev , Ilya Esterlis