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We develop a functional renormalization group approach which describes the low-energy single-particle properties of the Anderson impurity model up to intermediate on-site interactions $U \lesssim 15 \Delta$, where $\Delta$ is the…

Strongly Correlated Electrons · Physics 2009-09-29 Lorenz Bartosch , Hermann Freire , Jose Juan Ramos Cardenas , Peter Kopietz

For a classical system with long-range interactions, a soft mode exists whenever a stationary state spontaneously breaks a continuous symmetry of the Hamiltonian. Besides that, if the corresponding coordinate associated to the symmetry…

Statistical Mechanics · Physics 2020-09-23 Tarcisio M Rocha Filho , Bruno Marcos

The dual-fermion approach offers a way to perform diagrammatic expansion around the dynamical mean-field theory. Using this formalism, the influence of antiferromagnetic fluctuations on the self-energy is taken into account through…

Strongly Correlated Electrons · Physics 2014-12-22 Junya Otsuki , Hartmut Hafermann , Alexander I. Lichtenstein

In this Rapid Communication we show that low energy macroscopic properties of the one-dimensional (1D) attractive Hubbard model exhibit two fluids of bound pairs and of unpaired fermions. Using the thermodynamic Bethe ansatz equations of…

Strongly Correlated Electrons · Physics 2018-04-11 Song Cheng , Yi-Cong Yu , Murray T Batchelor , Xi-Wen Guan

This thesis report deals with the 1D Hubbard model and the quantum objects that diagonalize the normal ordered Hubbard hamiltonian, among those the so called PseudoFermions (PFs). These PFs have no residual energy interactions, are eta-spin…

Strongly Correlated Electrons · Physics 2007-05-23 D Bozi

Three-dimensional quantum electrodynamics exhibits a number of interesting properties, such as dynamical chiral symmetry breaking, weak confinement, and non-Fermi liquid behavior, and also has wide applications in condensed matter physics.…

Strongly Correlated Electrons · Physics 2017-07-05 Peng-Lu Zhao , An-Min Wang , Guo-Zhu Liu

Ferromagnetism in the t-t' Hubbard model is investigated on a square lattice. Correlation effects in the form of self-energy and vertex corrections are systematically incorporated within a spin-rotationally-symmetric scheme which explicitly…

Strongly Correlated Electrons · Physics 2009-11-13 Sudhakar Pandey , Avinash Singh

The two-dimensional Hubbard model exhibits superconductivity with d-wave symmetry even at half-filling in the presence of next-nearest neighbor hopping. Using plaquette cluster dynamical mean-field theory with a continuous-time quantum…

Strongly Correlated Electrons · Physics 2011-09-27 Michael Sentef , Philipp Werner , Emanuel Gull , Arno P. Kampf

We complement previous functional renormalization group (fRG) studies of the two-dimensional Hubbard model by mean-field calculations. The focus falls on Van Hove filling and the the hopping amplitude t'/t=0.341. The fRG data suggest a…

Strongly Correlated Electrons · Physics 2019-09-04 Kambis Veschgini , Manfred Salmhofer

The spin-fermion model has long been used to describe the quantum-critical behavior of 2d electron systems near an antiferromagnetic (AFM) instability. Recently, the standard procedure to integrate out the fermions to obtain an effective…

Strongly Correlated Electrons · Physics 2008-02-21 Tilman Enss , Sergio Caprara , Claudio Castellani , Carlo Di Castro , Marco Grilli

We attentively investigate the effects of short-range fermion-fermion interactions on the low-energy properties of both two-dimensional type-I and type-II tilted Dirac semimetals by means of the renormalization group framework. Practicing…

Strongly Correlated Electrons · Physics 2020-01-29 Jie-Qiong Li , Dong-Xing Zheng , Jing Wang

Three-component fermionic optical lattice systems are investigated in dynamical mean-field theory for the Hubbard model. Solving the effective impurity model by means of continuous-time quantum Monte Carlo simulations in the Nambu…

Quantum Gases · Physics 2015-06-18 Yuki Okanami , Nayuta Takemori , Akihisa Koga

Using a fermionic renormalization group method we present a simple real space picture of the strong influence an impurity has on the electronic properties of a Luttinger liquid. We compute the flow of the renormalized impurity potential for…

Strongly Correlated Electrons · Physics 2007-05-23 V. Meden , W. Metzner , U. Schollwoeck , K. Schoenhammer

We calculate the fermion Green function and particle-hole susceptibilities for a degenerate two-dimensional fermion system with a singular gauge interaction. We show that this is a strong coupling problem, with no small parameter other than…

Condensed Matter · Physics 2009-10-22 B. L. Altshuler , L. B. Ioffe , A. J. Millis

We study the effect of the coupling between the electronic ground state of high spin alkaline-earth fermionic atoms and their metastable optically excited state, when the system is confined in a one-dimensional chain, and show that the…

Quantum Gases · Physics 2015-06-16 Edina Szirmai

New fluctuation properties arise in problems where both spatial integration and energy summation are necessary ingredients. The quintessential example is given by the short-range approximation to the first order ground state contribution of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Steven Tomsovic , Denis Ullmo , Arnd Baecker

The dependence of the (quasi-)saturation of the generalized Pauli constraints on the pair potential is studied for ground states of few-fermion systems. For this, we consider spinless fermions in one dimension which are harmonically…

Quantum Physics · Physics 2018-05-10 Örs Legeza , Christian Schilling

We consider selected topics of relativistic superfluidity within gauge/string duality. Non-relativistically, the only conservation law relevant to the hydrodynamic approximation is the energy-momentum conservation. Relativistically, one has…

High Energy Physics - Theory · Physics 2011-06-22 H. Verschelde , V. I. Zakharov

We calculate the self-energy of fermions in Landau level n, in a finite field. Two cases are considered, in which fermions couple either to gauge fluctuations (as in the composite fermion gauge theory) or to phonons, as an example of a…

Condensed Matter · Physics 2009-10-28 S. Curnoe , P. C. E. Stamp

We develop a low-energy model of a unidirectional Larkin-Ovchinnikov (LO) state. Because the underlying rotational and translational symmetries are broken spontaneously, this gapless superfluid is a smectic liquid crystal, that exhibits…

Superconductivity · Physics 2013-05-29 Leo Radzihovsky , Ashvin Vishwanath