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Due to its strong bonds graphene can stretch up to 25% of its original size without breaking. Furthermore, mechanical deformations lead to the generation of pseudo-magnetic fields (PMF) that can exceed 300 T. The generated PMF has opposite…

介观与纳米尺度物理 · 物理学 2017-11-22 Slavisa P. Milovanovic , Francois M. Peeters

We study the chaos exponent of some variants of the Sachdev-Ye-Kitaev (SYK) model, namely, the $\Ns=1$ supersymmetry (SUSY)-SYK model and its sibling, the $(N|M)$-SYK model which is not supersymmetric in general, for arbitrary interaction…

强关联电子 · 物理学 2023-06-22 Chen Ma , Chushun Tian

AA-stacked bilayer graphene supports Fermi circles in its bonding and antibonding bands which coincide exactly, leading to symmetry-breaking in the presence of electron-electron interactions. We analyze a continuum model of this system in…

介观与纳米尺度物理 · 物理学 2013-04-02 L. Brey , H. A. Fertig

We study the Wishart-Sachdev-Ye-Kitaev (WSYK) model consisting of two $\hat{q}$-body Sachdev-Ye-Kitaev (SYK) models with general complex couplings, one the Hermitian conjugate of the other, living in off-diagonal blocks of a larger WSYK…

高能物理 - 理论 · 物理学 2022-01-10 Lucas Sá , Antonio M. García-García

We model disorder in graphene by random impurities treated in a coherent-potential approximation. Using the analytically solvable Lloyd model for the disorder distribution, we show that the temperature dependence of the minimum conductivity…

介观与纳米尺度物理 · 物理学 2012-03-13 Michael Sentef , Marcus Kollar , Arno P. Kampf

We study the generalization of the Sachdev-Ye-Kitaev (SYK) model to a $1+1$ dimensional chiral SYK model of $N$ flavors of right-moving chiral Majorana fermions with all-to-all random 4-fermion interactions. The interactions in this model…

高能物理 - 理论 · 物理学 2022-01-14 Biao Lian , S. L. Sondhi , Zhenbin Yang

In spite of 40 years of experimental studies and several theoretical proposals, an overall interpretation of the complex behavior of the magnetoresistance (MR) of multilayer graphene, i.e. graphite, at high fields ($B \lesssim 70~$T) and in…

We consider the graphs involved in the theoretical physics model known as the colored Sachdev-Ye-Kitaev (SYK) model. We study in detail their combinatorial properties at any order in the so-called $1/N$ expansion, and we enumerate these…

组合数学 · 数学 2020-01-22 Éric Fusy , Luca Lionni , Adrian Tanasa

We analyze the electrostatic interactions between a single graphene layer and a SiO$_2$ susbtrate, and other materials which may exist in its environment. We obtain that the leading effects arise from the polar modes at the SiO$_2$ surface,…

材料科学 · 物理学 2009-11-13 J. Sabio , C. Seoanez , S. Fratini , F. Guinea , A. H. Castro Neto , F. Sols

The Sachdev-Ye-Kitaev (SYK) model, has emerged as a powerful tool for exploring the quantum nature of black holes, particularly their residual entropy at zero temperature. In this work, we investigate the role of long-range interactions in…

强关联电子 · 物理学 2024-12-11 Andrea Solfanelli , Francesco Petocchi , Nicolò Defenu

We show analytically that the spectral density of the $q$-body Sachdeev-Ye-Kitaev (SYK) model agrees with that of Q-Hermite polynomials with Q a non-trivial function of $q \ge 2$ and the number of Majorana fermions $N \gg 1$. Numerical…

高能物理 - 理论 · 物理学 2017-09-20 Antonio M. García-García , Jacobus J. M. Verbaarschot

The Sachdev-Ye-Kitaev (SYK) model describes a strongly correlated quantum system that shows a strong signature of quantum chaos. Due to its chaotic nature, the simulation of real-time dynamics becomes quickly intractable by means of…

量子物理 · 物理学 2026-03-17 Etienne Granet , Yuta Kikuchi , Henrik Dreyer , Enrico Rinaldi

The $S=1/2$ Kitaev honeycomb model has attracted significant attention as an exactly solvable example with a quantum spin liquid ground state. In a properly oriented external magnetic field, chiral Majorana edge modes associated with a…

强关联电子 · 物理学 2022-03-23 Pedro M. Cônsoli , Eric C. Andrade

We show that strained or deformed honeycomb lattices are promising platforms to realize fractional topological quantum states in the absence of any magnetic field. The strained induced pseudo magnetic fields are oppositely oriented in the…

强关联电子 · 物理学 2012-07-04 P. Ghaemi , J. Cayssol , D. N. Sheng , A. Vishwanath

There is an increasing interest in the electronic properties of few layer graphene as it offers a platform to study electronic interactions because the dispersion of bands can be tuned with number and stacking of layers in combination with…

Identifying the microscopic processes that limit conductivity is essential for understanding correlated and quantum-critical states in quantum materials. In twisted bilayer graphene (TBG) and other twist-controlled materials, the…

We study RKKY interactions for magnetic impurities on graphene in situations where the electronic spectrum is in the form of Landau levels. Two such situations are considered: non-uniformly strained graphene, and graphene in a real magnetic…

介观与纳米尺度物理 · 物理学 2019-05-29 Jinlyu Cao , H. A. Fertig , Shixiong Zhang

In our publication from 8 years ago (Phys. Rev. B {\bf 84}, 115119 (2011)) we calculated RKKY interaction between two magnetic impurities adsorbed on graphene at zero temperature. We show in this short paper that the approach based on…

介观与纳米尺度物理 · 物理学 2019-04-02 E. Kogan

We study the level statistics of a generalized Sachdev-Ye-Kitaev (SYK) model with two-body and one-body random interactions of finite range by exact diagonalization. Tuning the range of the one-body term, while keeping the two-body…

高能物理 - 理论 · 物理学 2019-02-06 Antonio M. García-García , Masaki Tezuka

We simulate a hybrid superconductor-graphene device in the quantum Hall regime to identify the origin of downstream resistance oscillations in a recent experiment [Zhao et. al. Nature Physics 16, (2020)]. In addition to the previously…

介观与纳米尺度物理 · 物理学 2022-12-16 Antonio L. R. Manesco , Ian Matthias Flór , Chun-Xiao Liu , Anton R. Akhmerov