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We develop the theory of collective modes supported by a Fermi liquid of electrons in pristine graphene. Under reasonable assumptions regarding the electron-electron interaction, all the modes but the plasmon are over-damped. In addition to…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Zachary M. Raines , Vladimir I. Fal'ko , Leonid I. Glazman

Lightly-doped rhombohedral multilayer graphene has recently emerged as one of the most promising material platforms for exploring electronic phases driven by strong Coulomb interactions and non-trivial band topology. This review highlights…

Strongly Correlated Electrons · Physics 2024-08-29 Tobias Wolf , Nemin Wei , Haoxin Zhou , Chunli Huang

We study the spin-fluctuation-mediated superconducting pairing gap in a weak-coupling approach to the Hubbard model for a two dimensional square lattice in the paramagnetic state. Performing a comprehensive theoretical study of the phase…

Superconductivity · Physics 2015-09-10 A. T. Romer , A. Kreisel , I. Eremin , M. A. Malakhov , T. A. Maier , P. J. Hirschfeld , B. M. Andersen

Motivated by the experimental detection of superconductivity in the low-carrier density half-Heusler compound YPtBi, we study the pairing instabilities of three-dimensional strongly spin-orbit coupled semimetals with a quadratic band…

Superconductivity · Physics 2018-01-03 Lucile Savary , Jonathan Ruhman , Jörn W. F. Venderbos , Liang Fu , Patrick A. Lee

Rhombohedral graphene multilayers host various broken-symmetry metallic phases as well as superconductors whose pairing mechanism and order parameter symmetry remain unsettled. Strikingly, experiments have revealed prominent new…

Superconductivity · Physics 2025-07-08 Zhiyu Dong , Étienne Lantagne-Hurtubise , Jason Alicea

In graphene, the pseudospin and the valley flavor arise as new types of quantum degrees of freedom due to the honeycomb lattice comprising two sublattices (A and B) and two inequivalent Dirac points (K and K') in the Brillouin zone,…

Mesoscale and Nanoscale Physics · Physics 2011-12-26 Changwon Park , Heejun Yang , Andrew J. Mayne , Gerald Dujardin , Sunae Seo , Young Kuk , Jisoon Ihm , Gunn Kim

We study non-equilibrium current fluctuations through a quantum dot, which includes a ferromagnetic Hund's rule coupling $J$, in the low-energy Fermi liquid regime using the renormalized perturbation theory. The resulting cumulant for the…

Mesoscale and Nanoscale Physics · Physics 2012-06-28 Rui Sakano , Yunori Nishikawa , Akira Oguri , Alex C. Hewson , Seigo Tarucha

The proximity effect in superfluid $^3$He partly filled with high porosity aerogel is discussed. This system can be regarded as a dirty Fermi liquid/spin-triplet p-wave superfluid junction. Our attention is mainly paid to the case when the…

Superconductivity · Physics 2009-01-14 S. Higashitani , Y. Nagato , K. Nagai

The effect of antiferromagnetic interchain coupling in alternating spin (1,1/2) chains is studied by mean of a spin wave theory and density matrix renormalization group (DMRG). In particular, two limiting cases are investigated, the two-leg…

Statistical Mechanics · Physics 2009-11-07 Adolfo E. Trumper , Claudio Gazza

We employ a functional renormalization group approach to ascertain the pairing mechanism and symmetry of the superconducting phase observed in rhombohedral trilayer graphene. Superconductivity in this system occurs in a regime of carrier…

Superconductivity · Physics 2023-04-19 Wei Qin , Chunli Huang , Tobias Wolf , Nemin Wei , Igor Blinov , Allan H. MacDonald

We address the phenomenon of critical Kondo destruction in pseudogap Bose-Fermi Anderson and Kondo quantum impurity models. These models describe a localized level coupled both to a fermionic bath having a density of states that vanishes…

Strongly Correlated Electrons · Physics 2013-12-31 J. H. Pixley , Stefan Kirchner , Kevin Ingersent , Qimiao Si

We study the low-temperature properties of a spin-\onehalf\ magnetic impurity coupled to a one-dimensional interacting electron system. Using the newly developed formalism by Affleck and Ludwig, with a scale invariant boundary condition…

Condensed Matter · Physics 2009-10-28 Per Frojdh , Henrik Johannesson

We present the Ramsey response and radio-frequency spectroscopy of a heavy impurity immersed in an interacting Fermi superfluid, using exact functional determinant approach. We describe the Fermi superfluid through the conventional…

Quantum Gases · Physics 2022-07-22 Jia Wang , Xia-Ji Liu , Hui Hu

Qualitative changes in thermodynamic and single-particle properties characterize the transition between the pseudogapped electronic liquid and the Fermi liquid. Recent cold-atom experiments on a simulator of the Hubbard model with…

Strongly Correlated Electrons · Physics 2026-02-09 Y. M. Vilk , A. -M. S. Tremblay

Many correlated metallic materials are described by Landau Fermi-liquid theory at low energies, but for Hund metals the Fermi-liquid coherence scale $T_{\text{FL}}$ is found to be surprisingly small. In this Letter, we study the simplest…

Strongly Correlated Electrons · Physics 2020-04-08 Y. Wang , E. Walter , S. -S. B. Lee , K. M. Stadler , J. von Delft , A. Weichselbaum , G. Kotliar

Using the density matrix renormalization group (DMRG) method, we study the quantum coherence in one-dimensional disordered Fermi systems. We consider in detail spinless fermions on a ring, and compare the influence of several kinds of…

Strongly Correlated Electrons · Physics 2017-09-27 C. Schuster , U. Eckern

The pseudogap Anderson impurity model is a paradigm for locally critical quantum phase transitions. Within the framework of the local moment approach we study its finite-T dynamics, as embodied in the single-particle spectrum, in the…

Strongly Correlated Electrons · Physics 2007-05-23 Matthew T Glossop , Gareth E Jones , David E Logan

A generalized Anderson single-impurity model with off-site Coulomb interactions is derived from the extended three-band Hubbard model, originally proposed to describe the physics of the copper-oxides. Using the abelian bosonization…

Condensed Matter · Physics 2009-10-28 Guang-Ming Zhang , Zhao-Bin Su , Lu Yu

Recent scanning tunneling spectroscopy experiments [V. W. Brar et. al., Appl. Phys. Lett. 91, 122102 (2007), Y. Zhang et. al., arXiv:0802.4315 (2008)] on graphene reported an unexpected gap of about $\pm 60$meV around the Fermi level. Here,…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 T. O. Wehling , I. Grigorenko , A. I. Lichtenstein , A. V. Balatsky

A simple interlayer pair tunneling is solved exactly. We find that in the normal state spin-1/2 particle and hole excitations are gapped. But the state is an unusual metal, characterized by novel fermionic spin zero and charge +2e and -2e…

Condensed Matter · Physics 2007-05-23 Sanjoy K. Sarker , Philip W. Anderson