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We describe an efficient approximation for the electron-electron interaction in the determination of the low-energy effective interaction in multiband lattice systems. By using ideas for channel decomposition, form-factor expansion and the…

Strongly Correlated Electrons · Physics 2018-10-24 Carsten Honerkamp

This paper addresses the problem of consistent energy-based coupling of atomistic and continuum models of materials, limited to zero-temperature statics of simple crystals. It has been widely recognized that the most practical coupled…

Numerical Analysis · Mathematics 2011-08-09 Alexander V. Shapeev

We discuss how the renormalization group can be used to derive effective nuclear interactions. Starting from the model-independent low-momentum interaction V_{low k}, we successively integrate out high-lying particle and hole states from…

Nuclear Theory · Physics 2009-11-10 Achim Schwenk

We extend the adiabatic regularization method by introducing an arbitrary mass scale $\mu$ in the construction of the subtraction terms. This allows us to obtain, in a very robust way, the running of the coupling constants by demanding…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Antonio Ferreiro , Jose Navarro-Salas

We propose and test a renormalization procedure which acts in Hilbert space. We test its efficiency on strongly correlated quantum spin systems by working out and analyzing the low-energy spectral properties of frustrated quantum spin…

Quantum Physics · Physics 2009-11-13 Tarek Khalil , Jean Richert

We study the unscreened Coulomb interaction in a one-dimensional electron system at low-energy. We use renormalization group methods and a GW approximation, in order to analyze the model. This yields both a strong wavefunction…

High Energy Physics - Theory · Physics 2007-05-23 S. Bellucci

We discuss techniques of the density matrix renormalization group and their application to interacting fermion systems in more than one dimension. We show numerical results for equal--time spin--spin and singlet pair field correlation…

Condensed Matter · Physics 2007-05-23 R. M. Noack , S. R. White , D. J. Scalapino

We investigate a model many-body system of spinless Fermi gas in two dimensions, where the bare two-body interaction is repulsive and takes the form of a soft-core disk potential. We obtain the zero temperature phase diagram of this model…

Quantum Gases · Physics 2024-03-26 Ahmet Keles , Xiaopeng Li , Erhai Zhao

Partial bosonisation of the two-dimensional Hubbard model focuses the functional renormalisation flow on channels in which interactions become strong and local order sets in. We compare the momentum structure of the four-fermion vertex,…

Strongly Correlated Electrons · Physics 2020-04-15 Tobias Denz , Mario Mitter , Jan M. Pawlowski , Christof Wetterich , Masatoshi Yamada

By applying the renormalization group method to two-coupled chains in the Tomonaga model, the role of interchain hopping has been studied in the entire energy region. The energy for a crossover from the perturbational regime to the relevant…

Strongly Correlated Electrons · Physics 2009-10-30 Masahisa Tsuchiizu , Hideo Yoshioka , Yoshikazu Suzumura

Inspired by the superblock method of White, we introduce a simple modification of the standard Renormalization Group (RG) technique for the study of quantum lattice systems. Our method which takes into account the effect of Boundary…

Statistical Mechanics · Physics 2009-10-28 A. Langari , V. Karimipour

Recently, in [1] we developed a parametric reconstruction method to a homogeneous, isotropic and spatially flat Friedmann-Robertson-Walker (FRW) cosmological model filled of a fluid of dark energy (DE) with constant equation of state (EOS)…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-03 Freddy Cueva Solano , Ulises Nucamendi

The main theme of the paper is the detailed discussion of the renormalization of the quantum field theory comprising two interacting scalar fields. The potential of the model is the fourth-order homogeneous polynomial of the fields,…

High Energy Physics - Theory · Physics 2021-04-21 S. R. Juárez Wysozka , Piotr Kielanowski , Edgar Uribe Longoria , Liliana Vazquez Mercado

We study the long-time average of the reduced density matrix (RDM) of a two-level system as the central system, which is locally coupled to a generic many-body quantum chaotic system as the environment, under an overall Schr\"{o}dinger…

Quantum Physics · Physics 2020-05-14 Hua Yan , Jiaozi Wang , Wen-ge Wang

We study binary atomic boson-fermion mixtures confined in one dimensional box potentials by few-body theory with contact interactions and mean-field many-body theory with density-density interactions. A variety of correlations and…

Quantum Gases · Physics 2023-02-16 Bishal Parajuli , Daniel Pecak , Chih-Chun Chien

The energies of low-lying bound states of a microscopic quantum many-body system of particles can be worked out in a reduced Hilbert space. We present here and test a specific non-perturbative truncation procedure. We also show that real…

Quantum Physics · Physics 2008-11-26 Tarek Khalil , Jean Richert

A criterion for effective irrelevancy of the spin-orbit coupling in the heavy-fermion superconductivity is discussed on the basis of the impurity Anderson model with two sets of Kramers doublets. Using Wilson's numerical…

Strongly Correlated Electrons · Physics 2009-11-11 Hiroaki Kusunose

In this paper, we investigate the beta-function of the gauge coupling constant ($e$) of the gauged four-fermi theory in the Exact Renormalization Group (ERG) framework. It seems that the presence of the four-fermi interaction strongly…

High Energy Physics - Theory · Physics 2016-09-06 Jun-Ichi Sumi

We investigate the Ising and Heisenberg models using the Block Renormalization Group Method (BRGM), focusing on its behavior across different system sizes. The BRGM reduces the number of spins by a factor of 1/2 (1/3) for the Ising…

We present a semi-analytical approach for studying quantum thermal energy transport beyond the weak system-bath coupling regime. Our treatment, which results in a renormalized, effective Hamiltonian model is based on the reaction coordinate…

Quantum Physics · Physics 2021-07-07 Nicholas Anto-Sztrikacs , Dvira Segal