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We review all symmetry-allowed spin-singlet and spin-triplet superconducting (SC) order parameters in graphene ($s$-wave, $d$-wave, $p$-wave, and $f$-wave) generated by generic onsite, nearest-neighbor (NN), and next-to-nearest-neighbor…

We demonstrate how potential impurities are a very powerful tool for determining the pairing symmetry in graphene proximity-coupled to a spin-singlet superconductor. All d-wave states are characterized by subgap resonances, with spatial…

Superconductivity · Physics 2018-06-20 Oladunjoye A. Awoga , Annica M. Black-Schaffer

We consider the most energetically favorable symmetry-allowed spin-singlet and spin-triplet superconducting pairing symmetries in twisted bilayer graphene at the magic angle, whose normal state physics is described by a six-band effective…

Superconductivity · Physics 2023-07-27 Emile Pangburn , Miguel Alvarado , Oladunjoye A. Awoga , Catherine Pépin , Cristina Bena

Altermagnetic superconductors offer the possibility of exploring unconventional superconductivity, including topological states and finite-momentum superconductivity, with promising applications in spintronics and quantum information.…

Superconductivity · Physics 2025-07-22 Andrea Maiani , Rubén Seoane Souto

We study subgap states induced by a single impurity in an s-wave superconductor with suppressed pairing. For concreteness, we consider a bulk superconductor containing a normal spherical region. We find that a point impurity in this system…

Superconductivity · Physics 2021-10-12 A. A. Bespalov

We present a systematic classification and analysis of possible pairing instabilities in graphene-based moir\'e superlattices. Motivated by recent experiments on twisted double-bilayer graphene showing signs of triplet superconductivity, we…

Superconductivity · Physics 2020-07-21 Mathias S. Scheurer , Rhine Samajdar

We analyze various possible superconducting pairing states and their relative stabilities in lightly doped graphene. We show that, when inter-sublattice electron-electron attractive interaction dominates and Fermi level is close to Dirac…

Superconductivity · Physics 2013-01-03 Jianhui Zhou , Tao Qin , Junren Shi

Conventional electron-phonon coupling induces either odd (triplet) or even (singlet) pairing states in a time reversal and inversion invariant Dirac semi - metal. In certain range of the chemical potential $\mu $ and parameters…

Superconductivity · Physics 2015-06-22 Baruch Rosenstein , B. Ya. Shapiro , Dingping Li , I. Shapiro

We theoretically study the spectrum induced by one and two magnetic impurities near the boundary of a one-dimensional nanowire in proximity to a conventional $s$-wave superconductor and extract the ground state magnetic configuration. We…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Oindrila Deb , Silas Hoffman , Daniel Loss , Jelena Klinovaja

In the theory of dilute magnetic impurities in superconductors, the effect of all impurity spin-components is expressed via a single magnetic scattering rate $\Gamma_\mathrm{m}$. In a more realistic setting, magnetic impurities are…

Superconductivity · Physics 2020-08-05 David Möckli , Menashe Haim , Maxim Khodas

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

A weak-coupling formalism for superconducting states possessing both singlet (even parity) and triplet (odd parity) components of the order parameter in centrosymmetric crystals is developed. It is shown that the quasiparticle energy…

Superconductivity · Physics 2007-05-23 I. A. Sergienko

We consider a one-dimensional (1D) wire along which single conduction electrons can propagate in the presence of two spin-1/2 magnetic impurities. The electron may be scattered by each impurity via a contact-exchange interaction and thus a…

Quantum Physics · Physics 2009-11-13 F. Ciccarello , G. M. Palma , M. Zarcone , Y. Omar , V. R. Vieira

Qualitative differences in the spectrum of a superconductor near magnetic impurity pairs with moments aligned parallel and antiparallel are derived. A proposal is made for a new, nonmagnetic scanning tunneling spectroscopy of magnetic…

Superconductivity · Physics 2009-10-31 Michael E. Flatte , David E. Reynolds

Inherent symmetries of a system lead to multiple degeneracies of its energy spectra. Introducing individual atomic impurities can locally break these symmetries, which is expected to lift the degenerate degrees of freedom around the…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Yu Zhang , Qi-Qi Guo , Si-Yu Li , Lin He

The single impurity effect on the graphene-based superconductor is studied theoretically. Four different pairing symmetries are discussed. Sharp resonance peaks are found near the impurity site for the $d+id$-wave pairing symmetry and the…

Superconductivity · Physics 2021-01-20 Yuan-Qiao Li , Tao Zhou

We show that effective superconducting orders generally emerge at low energy in the superconducting state of graphene with conventionally defined pairing symmetry . We study such a particular interesting example, the $d_{x^2-y^2}+id'_{xy}$…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Yongjin Jiang , Dao-Xin Yao , E. W. Carlson , Han-Dong Chen , JiangPing Hu

Cooper pairs in two-dimensional unconventional superconductors with broken inversion symmetry are in a mixture of an even-parity spin-singlet pairing state with an odd-parity spin-triplet pairing state. We study the magnetic properties of…

Superconductivity · Physics 2016-06-29 Vardan Kaladzhyan , Cristina Bena , Pascal Simon

Magnetic impurities adsorbed on graphene are coupled magnetically via the itinerant electrons. This interaction opens a gap in the band structure of graphene. The result strongly depends on how the magnetic impurities are distributed. While…

Strongly Correlated Electrons · Physics 2010-10-05 Maria Daghofer , Nan Zheng , Adriana Moreo

We show that a spontaneous magnetic moment may appear at the edge of a spin-triplet superconductor if the system allows for pairing in a subdominant channel. To unveil the microscopic mechanism behind such effect we combine numerical…

Superconductivity · Physics 2013-09-03 Alfonso Romano , Paola Gentile , Canio Noce , Ilya Vekhter , Mario Cuoco
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