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The linear perturbation group transformation (LPRG) is used to study the thermodynamics of the axial next-nearest-neighbor Ising model with four spin interactions (extended ANNNI) in a field. The LPRG for weakly interacting Ising chains is…

Statistical Mechanics · Physics 2013-03-25 J. Sznajd

The crossover from fluctuating atomic constituents to a collective state as one lowers temperature or energy is at the heart of the dynamical mean-field theory description of the solid state. We demonstrate that the numerical…

Strongly Correlated Electrons · Physics 2020-01-08 Fabian B. Kugler , Manuel Zingl , Hugo U. R. Strand , Seung-Sup B. Lee , Jan von Delft , Antoine Georges

We present the real-time renormalization group (RTRG) method as a method to describe the stationary state current through generic multi-level quantum dots with a complex setup in nonequilibrium. The employed approach consists of a very…

Strongly Correlated Electrons · Physics 2019-05-28 Carsten J. Lindner , Fabian B. Kugler , Volker Meden , Herbert Schoeller

We describe a search for renormalization group fixed points which control a second-order quantum phase transition between a d_{x^2-y^2} superconductor and some other superconducting ground state. Only a few candidate fixed points are found.…

Strongly Correlated Electrons · Physics 2008-01-24 Matthias Vojta , Ying Zhang , Subir Sachdev

We present the two-loop renormalization group (RG) calculations of all the susceptibilities associated with the two-dimensional flat Fermi surface with rounded corners (FS). Our approach follows our fermionic field theory RG method…

Superconductivity · Physics 2007-05-23 Eberth Correa , Hermann Freire , A. Ferraz

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

In the framework of the renormalization-group (RG) approach, critical phenomena can be investigated by studying the RG flow of multi-parameter $\Phi^4$ field theories with an $N$-component fundamental field, containing up to 4th-order…

High Energy Physics - Lattice · Physics 2009-04-14 Ettore Vicari

Salmhofer [Commun. Math. Phys. 194, 249 (1998)] has recently developed a new renormalization group method for interacting Fermi systems, where the complete flow from the bare action of a microscopic model to the effective low-energy action,…

Strongly Correlated Electrons · Physics 2009-10-31 Christoph J. Halboth , Walter Metzner

We study the electron-electron interaction contribution to the conductivity of two-dimensional In$_{0.2}$Ga$_{0.8}$As electron systems in the diffusion regime over the wide conductivity range, $\sigma\simeq(1-150) G_0$, where…

Strongly Correlated Electrons · Physics 2018-07-11 G. M. Minkov , A. V. Germanenko , O. E. Rut , A. A. Sherstobitov

We show that the renormalization group decimation of modern nucleon potential models to low momenta results in a unique nucleon interaction V_{low k}. This interaction is free of short-ranged singularities and can be used directly in…

Nuclear Theory · Physics 2007-05-23 A. Schwenk , B. Friman , S. K. Bogner , G. E. Brown , T. T. S. Kuo

We analyze the renormalization-group (RG) flows of two effective Lagrangians, one for measurement induced transitions of monitored quantum systems and one for entanglement transitions in random tensor networks. These Lagrangians, previously…

Statistical Mechanics · Physics 2024-09-20 Adam Nahum , Kay Joerg Wiese

The phase transitions of random-field q-state Potts models in d=3 dimensions are studied by renormalization-group theory by exact solution of a hierarchical lattice and, equivalently, approximate Migdal-Kadanoff solutions of a cubic…

Statistical Mechanics · Physics 2021-09-15 Alpar Turkoglu , A. Nihat Berker

We investigate the functional renormalization group (FRG) flow of the two-particle vertex function of a model for X-ray absorption in metals. Concerning the appearance of logarithmic divergences, the model is prototypical for an important…

Strongly Correlated Electrons · Physics 2021-05-03 Jan Diekmann , Severin G. Jakobs

Renormalisation group (RG) methods provide one of the most important techniques for analysing the physics of many-body systems, both analytically and numerically. By iterating an RG map, which "course-grains" the description of a many-body…

Quantum Physics · Physics 2022-12-26 James D. Watson , Emilio Onorati , Toby S. Cubitt

A free Fermi gas has, famously, a superconducting susceptibility that diverges logarithmically at zero temperature. In this paper we ask whether this is still true for a Fermi liquid and find that the answer is that it does {\it not}. From…

Strongly Correlated Electrons · Physics 2010-12-20 S. A. Parameswaran , R. Shankar , S. L. Sondhi

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

We develop a renormalization group (RG) description of the localization properties of onedimensional (1D) quasiperiodic lattice models. The RG flow is induced by increasing the unit cell of subsequent commensurate approximants. Phases of…

Disordered Systems and Neural Networks · Physics 2023-10-10 Miguel Gonçalves , Bruno Amorim , Eduardo V. Castro , Pedro Ribeiro

The density matrix renormalization group (DMRG) method and its applications to finite temperatures and two-dimensional systems are reviewed. The basic idea of the original DMRG method, which allows precise study of the ground state…

Strongly Correlated Electrons · Physics 2009-11-10 Naokazu Shibata

We apply the functional renormalization group (FRG) method to calculate the conductance of a quantum dot in the Kondo regime. Starting from the exact FRG equations in Keldysh formulation for the Kondo exchange Hamiltonian in pseudo-fermion…

Strongly Correlated Electrons · Physics 2015-10-28 Holger Schmidt , Peter Woelfle

A defining feature of a symmetry protected topological phase (SPT) in one-dimension is the degeneracy of the Schmidt values for any given bipartition. For the system to go through a topological phase transition separating two SPTs, the…

Strongly Correlated Electrons · Physics 2018-05-02 Evert P. L. van Nieuwenburg , Andreas P. Schnyder , Wei Chen