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Odd-frequency superconductivity, originally proposed by Berezinskii in 1974, is an exotic phase of matter in which Cooper pairing between electrons is entirely dynamical in nature. The pair potential is an odd function of frequency, leading…

超导电性 · 物理学 2017-05-09 Shu-Ping Lee , Roman M. Lutchyn , Joseph Maciejko

Superconductivity is characterized by a nonvanishing superconducting pair amplitude. It has a definite symmetry in spin, momentum and frequency (time). While the spin and momentum symmetry have been probed experimentally for different…

介观与纳米尺度物理 · 物理学 2018-10-31 Sun-Yong Hwang , Pablo Burset , Björn Sothmann

In arXiv:1707.02197, the authors considered the Sachdev-Ye-Kitaev model with quadratic perturbation (also known as mass-deformed SYK), and claimed that the quantum Lyapunov exponent would vanish in the regime of low temperature and small…

统计力学 · 物理学 2021-03-15 Jaewon Kim , Xiangyu Cao

The Sachdev--Ye--Kitaev is a quantum mechanical model of $N$ Majorana fermions which displays a number of appealing features -- solvability in the strong coupling regime, near-conformal invariance and maximal chaos -- which make it a…

高能物理 - 理论 · 物理学 2019-12-17 Stéphane Dartois , Harold Erbin , Swapnamay Mondal

The interplay of non-Fermi liquid and superconductivity born out of strong dynamical interactions is at the heart of the physics of unconventional superconductivity. As a solvable platform of the strongly correlated superconductors, we…

强关联电子 · 物理学 2023-01-26 Wonjune Choi , Omid Tavakol , Yong Baek Kim

The Sachdev-Ye-Kitaev (SYK) model, in its simplest form, describes $k$ Majorana fermions with random all-to-all four-body interactions. We consider the SYK model in the framework of a many-body Altland-Zirnbauer classification that sees the…

无序系统与神经网络 · 物理学 2019-06-21 Jan Behrends , Jens H. Bardarson , Benjamin Béri

We investigate the properties of the Kitaev-Kondo lattice model defined on a bilayer honeycomb lattice by means of the SO(3) Majorana representation for spin-$1/2$ moments. We first consider the pairing of neighboring sites for the parent…

强关联电子 · 物理学 2021-05-20 Vanuildo S. de Carvalho , Rafael M. P. Teixeira , Hermann Freire , Eduardo Miranda

We study the effect of non-Gaussian average over the random couplings in a complex version of the celebrated Sachdev-Ye-Kitaev (SYK) model. Using a Polchinski-like equation and random tensor Gaussian universality, we show that the effect of…

高能物理 - 理论 · 物理学 2019-07-03 T. Krajewski , M. Laudonio , R. Pascalie , A. Tanasa

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…

强关联电子 · 物理学 2022-04-06 A. Tagliacozzo

Sachdev-Ye-Kitaev (SYK) model, which describes $N$ randomly interacting Majorana fermions in 0+1 dimension, is found to be an solvable UV-complete toy model for holographic duality in nearly AdS$_2$ dilaton gravity. Ref. [1] proposed a…

高能物理 - 理论 · 物理学 2020-06-24 Xiao-Liang Qi , Pengfei Zhang

Odd-frequency pairing is an unconventional type of Cooper pairing in superconductors related to the frequency dependence of the corresponding anomalous Green function. We show by a combination of analytical and numerical methods that…

超导电性 · 物理学 2024-05-21 Shun Tamura , Viktoriia Kornich , Björn Trauzettel

Semiconductor quantum dots in close proximity to superconductors may provoke localized bound states within the superconducting energy gap known as Yu-Shiba-Rusinov (YSR) state, which is a promising candidate for constructing Majorana zero…

介观与纳米尺度物理 · 物理学 2023-10-10 Jia-Ning Wang , Yong-Chen Xiong , Wang-Huai Zhou , Tan Peng , Ziyu Wang

We suggest that the holographic principle, combined with recent technological advances in atomic, molecular, and optical physics, can lead to experimental studies of quantum gravity. As a specific example, we consider the Sachdev-Ye-Kitaev…

量子气体 · 物理学 2017-09-07 Ippei Danshita , Masanori Hanada , Masaki Tezuka

A mysterious incoherent metallic (IM) normal state with $T$-linear resistivity is ubiquitous among strongly correlated superconductors. Recent progress with microscopic models exhibiting IM transport has presented the opportunity for us to…

强关联电子 · 物理学 2018-11-01 Aavishkar A. Patel , Michael J. Lawler , Eun-Ah Kim

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…

介观与纳米尺度物理 · 物理学 2018-10-09 N. V. Gnezdilov , J. A. Hutasoit , C. W. J. Beenakker

Several condensed-matter platforms have been proposed recently to realize the Sachdev-Ye-Kitaev (SYK) model in their low-energy limit. In these proposed realizations, the characteristic SYK behavior is expected to occur under certain…

强关联电子 · 物理学 2018-06-18 Étienne Lantagne-Hurtubise , Chengshu Li , Marcel Franz

We study a version of the 2-body Sachdev-Ye-Kitaev (SYK$_{2}$) model whose complex fermions exhibit twisted boundary conditions on the thermal circle. As we show, this is physically equivalent to coupling the fermions to a 1-dimensional…

高能物理 - 理论 · 物理学 2024-01-25 Jeff Murugan , Ruach Pillay Slayen , Hendrik J. R. Van Zyl

The Sachdev-Ye-Kitaev (SYK) model shows chaotic behavior with a maximal Lyapunov exponent. In this paper, we investigate the four-point function of a SYK-type model numerically, which gives us access to its Lyapunov exponent. The model…

强关联电子 · 物理学 2023-11-29 A. S. Shankar , M. Fremling , S. Plugge , L. Fritz

Superconductivity usually emerges from a metallic normal state which follows the Fermi-liquid paradigm. If, in contrast, the normal state is a fractionalized non-Fermi liquid, then pairing may either eliminate fractionalization via a…

强关联电子 · 物理学 2025-05-22 Matthew Bunney , Urban F. P. Seifert , Stephan Rachel , Matthias Vojta

We consider a non-equilibrium generalization of the mixed SYK$_4$+SYK$_2$ model and calculate the energy dissipation rate $W(\omega)$ that results due to periodic modulation of random quadratic matrix elements with a frequency $\omega$. We…

强关联电子 · 物理学 2022-01-26 A. V. Lunkin , M. V. Feigel'man