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The functional renormalisation group (FRG) approach is employed to study Bose polarons at finite temperatures in the regime of strong attractive bath-impurity interactions. Both two- and three-dimensional configurations are considered. The…

Quantum Gases · Physics 2025-01-20 Felipe Isaule

We study the problem of the phonon-induced electron-electron interaction in a solid. Starting with a Hamiltonian that contains an electron-phonon interaction, we perform a similarity renormalization transformation to calculate an effective…

Superconductivity · Physics 2009-10-28 Andreas Mielke

We study the optimisation of exact renormalisation group (ERG) flows. We explain why the convergence of approximate solutions towards the physical theory is optimised by appropriate choices of the regularisation. We consider specific…

High Energy Physics - Theory · Physics 2009-11-07 Daniel F. Litim

Theory of superconductivity in two-band non-adiabatic systems with strong electron correlations in the linear approximation over non-adiabaticity is built in the article. Having assumed weak electron-phonon interaction analytical…

Superconductivity · Physics 2007-05-23 M. E. Palistrant , V. A. Ursu

A fundamental question of high-temperature superconductors is the nature of the pseudogap phase which lies between the Mott insulator at zero doping and the Fermi liquid at high doping p. Here we report on the behaviour of charge carriers…

The electromagnetic response of the CuO2-planes is calculated within a strong coupling theory using model tight binding bands and momentum dependent pairing interactions representing spin fluctuations and phonon exchange. The…

Superconductivity · Physics 2009-10-30 Andreas Bille , Kurt Scharnberg

The influence of a uniform rotation with frequency Omega on the critical behavior of liquid 4He near T_lambda is investigated. We apply our recently developed approach which is a renormalization-group theory based on model F starting with…

Condensed Matter · Physics 2009-10-31 Rudolf Haussmann

We have measured the superconducting penetration depth~$\Lambda(T)$ in the heavy-fermion/intermediate-valent superconducting alloy series~Ce$_{1-x}$Yb$_x$CoIn$_5$ using transverse-field muon spin relaxation, to study the effect of…

Strongly Correlated Electrons · Physics 2019-02-01 Zhaofeng Ding , Jian Zhang , Cheng Tan , Kevin Huang , Ivy Lum , Oscar O. Bernal , Pei-Chun Ho , Douglas E. MacLaughlin , M. Brian Maple , Lei Shu

The exact renormalization group approach (ERG) is developed for the case of pure fermionic theories by deriving a Grassmann version of the ERG equation and applying it to the study of fixed point solutions and critical exponents of the…

High Energy Physics - Theory · Physics 2009-10-28 Jordi Comellas , Yuri Kubyshin , Enrique Moreno

The order of the chiral phase transition in two-color and two-flavor QC$_2$D is investigated using the functional renormalization group (FRG) technique in an effective model setting. We calculate the $\beta$ function of all couplings in the…

High Energy Physics - Phenomenology · Physics 2025-04-25 G. Fejos , D. Suenaga

We derive a theory of superfluidity for a dilute Fermi gas that is valid when scattering resonances are present. The treatment of a resonance in many-body atomic physics requires a novel mean-field approach starting from an unconventional…

Soft Condensed Matter · Physics 2009-11-07 S. J. J. M. F. Kokkelmans , J. N. Milstein , M. L. Chiofalo , R. Walser , M. J. Holland

The temperature-dependent uniform magnetic susceptibility of interacting electrons in one dimension is calculated using several methods. At low temperature, the renormalization group reaveals that the Luttinger liquid spin susceptibility…

Strongly Correlated Electrons · Physics 2009-10-31 H. Nélisse , C. Bourbonnais , H. Touchette , Y. M. Vilk , A. -M. S. Tremblay

We analyze the statistical mechanics of a free-standing quantum crystalline membrane within the framework of a systematic perturbative renormalization group (RG). A power-counting analysis shows that the leading singularities of correlation…

Statistical Mechanics · Physics 2022-06-01 Achille Mauri , Mikhail I. Katsnelson

Motivated by the recent experimental progresses in the study of p-wave resonant Fermi gas, we investigate the normal state properties of such a gas close to a p-wave scattering resonance. We calculate the universal equation of state and the…

Quantum Gases · Physics 2018-04-18 Juan Yao , Shizhong Zhang

Roughly twenty reports (as of 2025) of time-reversal-symmetry breaking (TRSB) states in low critical temperature (T$_c$) superconducting (SC), otherwise conventional Fermi liquid, metals have emerged primarily from muon spin relaxation…

Superconductivity · Physics 2026-02-16 Warren E. Pickett

Quantum spin impurities coupled to superconductors are under intense investigation for their relevance to fundamental research as well as the prospects to engineer novel quantum phases of matter. Here we develop a large-$N$ mean-field…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 Chen-How Huang , Alejandro M. Lobos , Miguel A. Cazalilla

We improve the recently developed functional renormalization group (fRG) for impurities and boundaries in Luttinger liquids by including renormalization of the two-particle interaction, in addition to renormalization of the impurity…

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

We propose a version of functional renormalization-group (fRG) approach, which is, due to including Litim-type cutoff and switching off (or reducing) the magnetic field during fRG flow, capable describing singular Fermi liquid (SFL) phase,…

Strongly Correlated Electrons · Physics 2016-11-29 V. S. Protsenko , A. A. Katanin

Numerous correlated electron systems exhibit a strongly scale-dependent behavior. Upon lowering the energy scale, collective phenomena, bound states, and new effective degrees of freedom emerge. Typical examples include (i) competing…

Strongly Correlated Electrons · Physics 2015-05-28 Walter Metzner , Manfred Salmhofer , Carsten Honerkamp , Volker Meden , Kurt Schoenhammer

It has long been known that particles with short-range repulsive interactions in spatial dimension d=1 form universal quantum liquids in the low density limit: all properties can be related to those of the spinless free Fermi gas. Previous…

Superconductivity · Physics 2011-07-19 Predrag Nikolic , Subir Sachdev