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We generalized the recently introduced new impurity solver based on the diagrammatic expansion around the atomic limit and Quantum Monte Carlo summation of the diagrams. We present generalization to the cluster of impurities, which is at…

Strongly Correlated Electrons · Physics 2009-11-11 Kristjan Haule

We show that numerical quasi-one-dimensional renormalization group allows accurate study of weakly coupled chains with modest computational effort. We perform a systematic comparison with exact diagonalization results in two and three-leg…

Strongly Correlated Electrons · Physics 2007-05-23 J. V. Alvarez , S. Moukouri

The renormalization group method developed by Ken Wilson more than four decades ago has revolutionized the way we think about problems involving a broad range of energy scales such as phase transitions, turbulence, continuum limits and…

High Energy Physics - Theory · Physics 2015-05-27 Y. Meurice , R. Perry , S. -W. Tsai

The density-matrix renormalization-group (DMRG) algorithm is extended to treat time-dependent problems. The method provides a systematic and robust tool to explore out-of-equilibrium phenomena in quantum many-body systems. We illustrate the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. A. Cazalilla , J. B. Marston

We systematically study the influence of ferromagnetic leads on the Kondo resonance in a quantum dot tuned to the local moment regime. We employ Wilson's numerical renormalization group method, extended to handle leads with a spin…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 M. Sindel , L. Borda , J. Martinek , R. Bulla , J. Koenig , G. Schoen , S. Maekawa , J. von Delft

A numerical renormalization group technique based on Wilson's momentum shell method is presented for interacting, finite fermi systems. Results for small fullerene analogs show that the method is quite accurate to moderate values of $U$,…

Condensed Matter · Physics 2009-10-22 T. Tokuyasu , M. Kamal , G. Murthy

We implement the concept of Wilson renormalization in the context of simple quantum mechanical systems. The attractive inverse square potential leads to a $\b$ function with a nontrivial ultraviolet stable fixed point and the Hulthen…

High Energy Physics - Theory · Physics 2009-10-22 K. S. Gupta , S. G. Rajeev

The numerical renormalization group (NRG) has been widely used as a magnetic impurity solver since the pioneering works by Wilson. Over the past decades, a significant attention has been focused on the application of symmetries in order to…

Strongly Correlated Electrons · Physics 2024-10-17 Aitor Calvo-Fernández , María Blanco-Rey , Asier Eiguren

We show that the Wilsonian formulation of the renormalization group (RG) defines a quantum channel acting on the momentum-space density matrices of a quantum field theory. This information theoretical property of the RG allows us to derive…

High Energy Physics - Theory · Physics 2023-06-28 Matheus H. Martins Costa , Jeroen van den Brink , Flavio S. Nogueira , Gastão I. Krein

We use the density matrix renormalization group (DMRG) for transfer matrices to numerically calculate impurity corrections to thermodynamic properties. The method is applied to two impurity models in the spin-1/2 chain, namely a weak link…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Rommer , Sebastian Eggert

We use the numerical renormalization group method tocalculate the single particle matrix elements $\cal T$ of the many body $T$-matrix of the conduction electrons scattered by a magnetic impurity at T=0 temperature. Since $\cal T$…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Zarand , L. Borda , Jan von Delft , Natan Andrei

We study the spectrum of two dimensional coupled arrays of continuum one-dimensional systems by wedding a density matrix renormalization group procedure to a renormalization group improved truncated spectrum approach. To illustrate the…

Strongly Correlated Electrons · Physics 2011-03-10 Robert M. Konik , Yury Adamov

We discuss the scale-free property of Wilson's numerical renormalization group(NRG) for the Kondo impurity problem. The single-particle state of the effective Hamiltonian with a cutoff $\Lambda$ is described by the wavepacket basis having…

Statistical Mechanics · Physics 2010-11-29 Kouichi Okunishi , Tomotoshi Nishino

The Grassmann time-evolving matrix product operator method has shown great potential as a general-purpose quantum impurity solver, as its numerical errors can be well-controlled and it is flexible to be applied on both the imaginary- and…

Strongly Correlated Electrons · Physics 2025-10-08 Zhijie Sun , Ruofan Chen , Zhenyu Li , Chu Guo

An Anderson impurity in a Hubbard model on chains with finite length is studied using the density-matrix renormalization group (DMRG) technique. In the first place, we analyzed how the reduction of electron density from half-filling to…

Strongly Correlated Electrons · Physics 2009-11-11 S. Costamagna , C. J. Gazza , M. E. Torio , J. A. Riera

The competition between the Kondo screening and indirect magnetic exchange in systems with two magnetic impurities coupled to a conventional s-wave superconductor gives rise to a nontrivial ground-state phase diagram. Here, we utilize the…

Strongly Correlated Electrons · Physics 2024-08-13 Cassian Plorin , Michael Potthoff

In a previous paper [J.-M. Bischoff and E. Jeckelmann, Phys. Rev. B 96, 195111 (2017)] we introduced a density-matrix renormalization group method for calculating the linear conductance of one-dimensional correlated quantum systems and…

Strongly Correlated Electrons · Physics 2019-08-30 Jan Bischoff , Eric Jeckelmann

We have developed a multi-orbital approach to compute the electronic structure of a quantum impurity using the non-crossing approximation. The calculation starts with a mean-field evaluation of the system's electronic structure using a…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Richard Korytár , Nicolás Lorente

The non-perturbative renormalization group equation for the Wilsonian effective potential is given in a certain simple approximation scheme in order to study chiral symmetry breaking phenomena dynamically induced by strong gauge…

High Energy Physics - Theory · Physics 2009-10-31 Ken-Ichi Aoki , Keiichi Morikawa , Jun-Ichi Sumi , Haruhiko Terao , Masashi Tomoyose

We apply the tensor cross interpolation (TCI) algorithm to solve equilibrium quantum impurity problems with high precision based on the weak-coupling expansion. The TCI algorithm, a kind of active learning method, factorizes…

Strongly Correlated Electrons · Physics 2025-05-02 Shuta Matsuura , Hiroshi Shinaoka , Philipp Werner , Naoto Tsuji
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