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We develop a theory for interlayer pairing of chiral electrons in graphene materials which results in an unconventional superconducting (S) state with s-wave spin-triplet order parameter. In a pure bilayer graphene, this superconductivity…

Mesoscale and Nanoscale Physics · Physics 2012-12-10 Mir Vahid Hosseini , Malek Zareyan

ABCB-stacked tetralayer graphene, with intrinsic spontaneous polarization, offers a unique platform to explore electron correlation effects, whose interplay with spin-orbit coupling may engender topological phases. Here, employing a…

Mesoscale and Nanoscale Physics · Physics 2026-01-07 Yulu Ren , Yang Shen , Chengyang Xu , Wanfei Shan , Weidong Luo

Motivated by the recent discoveries of superconductivity in bilayer and trilayer graphene, we theoretically investigate superconductivity and other interaction-driven phases in multilayer graphene stacks. To this end, we study the density…

Superconductivity · Physics 2023-03-06 Areg Ghazaryan , Tobias Holder , Erez Berg , Maksym Serbyn

Motivated by the recent experimental realization of ABCB stacked tetralayer graphene [Wirth et al., ACS Nano 16, 16617 (2022)], we study correlated phenomena in moir\'e-less graphene tetralayers for realistic interaction profiles using an…

This work theoretically analyzes electronic ordering in AA-stacked bilayer graphene and the role of the Coulomb interaction in these many-body phenomena. Using the random phase approximation to account for screening, we find intra-layer…

Superconductivity · Physics 2024-10-15 A. O. Sboychakov , A. L. Rakhmanov , A. V. Rozhkov

We show a spin superconductor (SSC) in ferromagnetic graphene as the counterpart to the charge superconductor, in which a spin-polarized electron-hole pair plays the role of the spin $2 (\hbar/2)$ `Cooper pair' with a neutral charge. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Qing-feng Sun , Zhao-tan Jiang , Yue Yu , X. C. Xie

We study the spin-polarized $\nu=0$ Landau-level state of graphene. Due to the electron-hole attractive interaction, electrons and holes can bound into pairs. These pairs can then condense into a spin-triplet superfluid ground state: a spin…

Superconductivity · Physics 2015-06-16 Qing-feng Sun , X. C. Xie

We show that introducing spin-singlet or spin-triplet superconductivity into twisted bilayer graphene induces higher-order topological superconductivity. $C_{2z}T$-protected corner states of Majorana Kramers pairs appear at the boundary…

Superconductivity · Physics 2021-08-13 Aaron Chew , Yijie Wang , B. Andrei Bernevig , Zhi-Da Song

Using a four-band Hamiltonian, we study the phase boundary of spin-polarized-current state (SPCS) of interacting electrons in bilayer graphene. The model of spin-polarized-current state has previously been shown to resolve a number of…

Strongly Correlated Electrons · Physics 2016-07-05 Xin-Zhong Yan , Yinfeng Ma , C. S. Ting

Motivated by the recent experimental detection of superconductivity in Bernal bilayer (AB) and rhombohedral trilayer (ABC) graphene, we study the emergence of superconductivity in multilayer graphene based on a Kohn-Luttinger (KL)-like…

Mesoscale and Nanoscale Physics · Physics 2024-02-01 Ziyan Li , Xueheng Kuang , Alejandro Jimeno-Pozo , Héctor Sainz-Cruz , Zhen Zhan , Shengjun Yuan , Francisco Guinea

We theoretically demonstrate the formation of a new type of unconventional superconductivity in graphene materials, which exhibits gapless property. The studied superconductivity is based on an interlayer pairing of chiral electrons in…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Mir Vahid Hosseini , Malek Zareyan

Interactions among charge carriers in graphene can lead to the spontaneous breaking of multiple degeneracies. When increasing the number of graphene layers following rhombohedral stacking, the dominant role of Coulomb interactions becomes…

Motivated by the recent experimental discovery of superconductivity in rhombohedral tetralayer graphene, we investigate the pairing mechanism arising from the density-density interactions within the random-phase approximation. This approach…

Superconductivity · Physics 2026-04-21 Qiong Qin , Congjun Wu

We construct Sierpinski-carpet (SC) based on AA or AB bilayer graphene by atom vacancies, namely, SC-AA and SC-AB, to investigate the effects of interlayer coupling on the electronic properties of fractals. Compared with monolayer graphene…

Mesoscale and Nanoscale Physics · Physics 2024-04-18 Xiaotian Yang , Weiqing Zhou , Qi Yao , Yunhai Li , Yunhua Wang , Shengjun Yuan

We present a theory of superconducting pairing originating from soft critical fluctuations near isospin-polarized states in rhombohedral trilayer graphene. Using a symmetry-based approach, we determine possible isospin order types and…

Superconductivity · Physics 2021-09-10 Zhiyu Dong , Leonid Levitov

We investigate the Josephson effect in a bilayer graphene flake contacted by two monolayer sheet deposited by superconducting electrodes. It is found that when the electrodes are attached to the different layers of the bilayer, the…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Babak Zare Rameshti , Malek Zareyan , Ali G. Moghaddam

We investigate the proximity spin-orbit and exchange couplings in ABA and ABC trilayer graphene encapsulated within monolayers of semiconducting transition-metal dichalcogenides and the ferromagnetic semiconductor Cr$_2$Ge$_2$Te$_6$.…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Klaus Zollner , Martin Gmitra , Jaroslav Fabian

The theory of superconductivity developed by Bardeen, Cooper and Schrieffer (BCS) explains the stabilization of electron pairs into a spin-singlet, even frequency, state by the formation of an energy gap within which the density of states…

In a recent experiment [Lin et al., arXiv:2112.07841], the superconducting phase hosted by a heterostructure of mirror-symmetric twisted trilayer graphene and WSe$_2$ was shown to exhibit significantly different critical currents in…

Mesoscale and Nanoscale Physics · Physics 2022-07-25 Harley D. Scammell , J. I. A. Li , Mathias S. Scheurer

The state with a spontaneous interlayer phase coherence in a graphene based bilayer quantum Hall system is studied. This state can be considered as a gas of superfluid electron-hole pairs with the components of the pair belonging to…

Superconductivity · Physics 2009-12-23 D. V. Fil , L. Yu. Kravchenko
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