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Background: Idealised systems are commonly used in nuclear physics and condensed matter. For instance, the construction of nuclear energy density functionals involves properties of infinite matter, while neutron drops are used to test…

Nuclear Theory · Physics 2021-01-08 A. W. Bray , C. Simenel

Role of pairing correlation for emergence of low-frequency vibrational excitations in neutron drip line nuclei is discussed paying special attention to neutrons with small orbital angular momentum l. Self-consistent pairing correlation in…

Nuclear Theory · Physics 2007-05-23 Masayuki Yamagami

We consider superconductivity in a system with $N$ Fermi surfaces, including intraband and interband effective electron-electron interactions. The effective interaction is described by an $N \times N$ matrix whose elements are assumed to be…

Superconductivity · Physics 2023-08-02 Niels Henrik Aase , Christian Svingen Johnsen , Asle Sudbø

Spinless fermions on the honeycomb lattice with repulsive nearest-neighbor interactions are known to harbour a quantum critical point at half-filling, with critical behaviour in the Gross-Neveu (chiral Ising) universality class. The…

Strongly Correlated Electrons · Physics 2018-08-02 Stephan Hesselmann , Daniel D. Scherer , Michael M. Scherer , Stefan Wessel

The effect of in-medium dinucleon bound states on self-consistent single-particle fields in Brueckner, Bethe and Goldstone theory is investigated in symmetric nuclear matter at zero temperature. To this end, dinucleon bound state occurences…

Nuclear Theory · Physics 2015-06-23 H. F. Arellano , J. -P. Delaroche

We investigate the quantum optical properties of a single photon emitter coupled to a finite-size metal nanoparticle using a photon Green function technique that rigorously quantizes the electromagnetic fields. We first obtain pronounced…

Mesoscale and Nanoscale Physics · Physics 2012-02-07 C. Van Vlack , Philip Trøst Kristensen , S. Hughes

We study electron pairing in a one-dimensional (1D) fermion gas at zero temperature under zero- and finite-range, attractive, two-body interactions. The binding energy of Cooper pairs (CPs) with zero total or center-of-mass momentum (CMM)…

Strongly Correlated Electrons · Physics 2015-05-19 R. Mendoza , M. Fortes , M. de Llano , M. A. Solis

What are the ground states of an interacting, low-density electron system? In the absence of disorder, it has long been expected that as the electron density is lowered, the exchange energy gained by aligning the electron spins should…

Strongly Correlated Electrons · Physics 2020-12-07 Md. S. Hossain , M. K. Ma , K. A. Villegas Rosales , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

The two-component Fermi gas with contact attractive interactions between different spin components can be described by the Yang-Gaudin model. Applying the Bethe ansatz approach, one finds analytical formulae for the system eigenstates that…

Quantum Gases · Physics 2018-08-21 Andrzej Syrwid , Dominique Delande , Krzysztof Sacha

We analyze a class of quantum-critical models, in which momentum integration and the selection of a particular pairing symmetry can be done explicitly, and the competition between non-Fermi liquid and pairing can be analyzed within an…

Strongly Correlated Electrons · Physics 2020-08-05 Artem Abanov , Andrey V. Chubukov

The momentum distribution of the energy gap opening at the Fermi level of superconductors is a direct fingerprint of the pairing mechanism. While the phase diagram of the iron-based superconductors promotes antiferromagnetic fluctuations as…

Fermi gases with magnetically tunable interactions provide a clean and controllable laboratory system for modeling interparticle interactions between fermions in nature. The s-wave scattering length, which is dominant a low temperature, is…

Quantum Gases · Physics 2010-04-05 J. E. Thomas

We report calculations of the superfluid pairing gap in neutron matter for the $^1S_0$ components of the Reid soft-core $V_6$ and the Argonne $V_{4}'$ two-nucleon interactions. Ground-state calculations have been carried out using the…

Nuclear Theory · Physics 2018-12-18 H. -H. Fan , E. Krotscheck , J. W. Clark

We establish the existence of a duality transformation for generic models of interacting fermions with two-body interactions. The eigenstates at weak and strong interaction U possess similar statistical properties when expressed in the U=0…

Disordered Systems and Neural Networks · Physics 2009-11-07 Philippe Jacquod , Imre Varga

We prove explicit and sharp eigenvalue estimates for Neumann $p$-Laplace eigenvalues in domains that admit a representation in Fermi coordinates. More precisely, if $\gamma$ denotes a non-closed curve in $\mathbb{R}^2$ symmetric with…

Analysis of PDEs · Mathematics 2024-01-18 Barbara Brandolini , Francesco Chiacchio , Jeffrey J. Langford

We calculate, for the first time, the state-dependent pairing gap of a finite nucleus (120Sn) diagonalizing the bare nucleon-nucleon potential (Argonne v14) in a Hartree-Fock basis (with effective k-mass m_k eqult to 0.7 m), within the…

Nuclear Theory · Physics 2009-11-10 F. Barranco , R. A. Broglia , G. Colo' , E. Vigezzi , P. F. Bortignon

The properties of pairing correlations in symmetric nuclear matter are studied in the relativistic mean field (RMF) theory with the effective interaction PK1. Considering well-known problem that the pairing gap at Fermi surface calculated…

Nuclear Theory · Physics 2010-11-23 Jun Li , Bao Yuan Sun , Jie Meng

A quantum system weakly interacting with a fast environment usually undergoes a relaxation with complex frequencies whose imaginary parts are damping rates quadratic in the coupling to the environment, in accord with Fermi's ``Golden…

Quantum Physics · Physics 2009-11-11 Massimiliano Esposito , Fritz Haake

Isoscalar Cooper pairing in isospin asymmetric nuclear matter occurs between states populating two distinct Fermi surfaces, each for neutrons and protons. The transition from a BCS-like to the normal (unpaired) state, as the isospin…

Nuclear Theory · Physics 2009-11-07 Herbert Müther , Armen Sedrakian

Motivated by the surge in research activities on graphene, we investigate instabilities of electrons on the honeycomb lattice, interacting by onsite and nearest-neighbor terms, using a renormalization group scheme. Near half band-filling,…

Strongly Correlated Electrons · Physics 2009-11-13 Carsten Honerkamp