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Ground state properties of the S=1/2 antiferromagnetic XXZ chain with Fibonacci exchange modulation are studied using the real space renormalization group method for strong modulation. The quantum dynamical critical behavior with a new…

Strongly Correlated Electrons · Physics 2007-05-23 Kazuo Hida

We investigate the superconducting pairing instabilities of eight-band models for the iron arsenides. Using a functional renormalization group treatment, we determine how the critical energy scale for superconductivity depends on the…

Superconductivity · Physics 2014-07-10 J. Lichtenstein , S. A. Maier , C. Honerkamp , C. Platt , R. Thomale , O. K. Andersen , L. Boeri

The Dyson-Ising ferromagnet is a one-dimensional Ising model with a power law interaction. When the power is between -1 and -2, the model has a phase transition. Van Enter and Le Ny proved that at sufficiently low temperatures the…

Mathematical Physics · Physics 2020-06-23 Tom Kennedy

Spin chains with quenched disorder exhibit rich critical behavior, often captured by real-space renormalization group (RSRG) techniques. However, the physics of such systems in the presence of random measurements (i.e., non-Hermitian…

Quantum Physics · Physics 2026-05-21 Siddharth Tiwary , Joel E. Moore

By means of free fermionic techniques combined with multiple precision arithmetic we study the time evolution of the average magnetization, $\overline{m}(t)$, of the random transverse-field Ising chain after global quenches. We observe…

Disordered Systems and Neural Networks · Physics 2017-04-05 Gergo Roosz , Yu-Cheng Lin , Ferenc Igloi

We study the 3d Ising universality class using the functional renormalisation group. With the help of background fields and a derivative expansion up to fourth order we compute the leading index, the subleading symmetric and anti-symmetric…

High Energy Physics - Theory · Physics 2011-04-22 Daniel F. Litim , Dario Zappalá

The anisotropic s=1/2 anti-ferromagnetic Heisenberg chain in the presence of an external magnetic field is studied by using the standard quantum renormalization group. We obtain the critical line of the transition from partially magnetized…

Strongly Correlated Electrons · Physics 2009-10-31 A. Langari

We study the renormalization group flow in general quantum field theories with quenched disorder, focusing on random quantum critical points. We show that in disorder-averaged correlation functions the flow mixes local and non-local…

Strongly Correlated Electrons · Physics 2018-08-22 Vladimir Narovlansky , Ofer Aharony

The problem of a quantum Ising degree of freedom coupled to a gapless bosonic mode appears naturally in many one dimensional systems, yet surprisingly little is known how such a coupling affects the Ising quantum critical point. We…

Strongly Correlated Electrons · Physics 2017-02-21 Ori Alberton , Jonathan Ruhman , Erez Berg , Ehud Altman

We extend the numerical renormalization-group method to Bose-Fermi Kondo models (BFKMs), describing a local moment coupled to a conduction band and a dissipative bosonic bath. We apply the method to the Ising-symmetry BFKM with a bosonic…

Strongly Correlated Electrons · Physics 2016-08-31 Matthew T. Glossop , Kevin Ingersent

We study the distribution of finite size pseudo-critical points in a one-dimensional random quantum magnet with a quantum phase transition described by an infinite randomness fixed point. Pseudo-critical points are defined in three…

Disordered Systems and Neural Networks · Physics 2008-03-12 Ferenc Iglói , Yu-Cheng Lin , Heiko Rieger , Cécile Monthus

For the quantum Ising chain, the self-dual block renormalization procedure of Fernandez-Pacheco [Phys. Rev. D 19, 3173 (1979)] is known to reproduce exactly the location of the zero-temperature critical point and the correlation length…

Disordered Systems and Neural Networks · Physics 2015-01-20 Cecile Monthus

We study the antiferromagnetic XYZ spin chain with quenched bond randomness, focusing on a critical line between localized Ising magnetic phases. A previous calculation using the spectrum-bifurcation renormalization group, and assuming…

Disordered Systems and Neural Networks · Physics 2022-01-12 Brenden Roberts , Olexei I. Motrunich

A recently proposed renormalization group approach to dimensional crossover in quasi-one-dimensional quantum antiferromagnets is improved and then shown to give identical results, in some cases, to those obtained earlier.

Condensed Matter · Physics 2008-11-26 Ian Affleck , Bertrand I. Halperin

We present a field-theoretic renormalization group analysis of Abanov and Chubukov's model of the spin density wave transition in two dimensional metals. We identify the independent field scale and coupling constant renormalizations in a…

Strongly Correlated Electrons · Physics 2010-08-24 Max A. Metlitski , Subir Sachdev

By performing a high-statistics simulation of the $D=4$ random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high…

Disordered Systems and Neural Networks · Physics 2016-06-07 Nikolaos G. Fytas , Victor Martin-Mayor , Marco Picco , Nicolas Sourlas

We propose and study a renormalization group transformation that can be used also for models with strong quenched disorder, like spin glasses. The method is based on a mapping between disorder distributions, chosen such as to keep some…

Disordered Systems and Neural Networks · Physics 2013-04-30 Maria Chiara Angelini , Giorgio Parisi , Federico Ricci-Tersenghi

In clean and weakly disordered systems, topological and trivial phases having a finite bulk energy gap can transit to each other via a quantum critical point. In presence of strong disorder, both the nature of the phases and the associated…

Disordered Systems and Neural Networks · Physics 2025-06-26 Saikat Mondal , Adhip Agarwala

The effect of disorder on the quantum phase transitions induced by a transverse field, anisotropy, and dimerization in XY spin chains is investigated. The low-energy behavior near the critical point is described by a Dirac-type equation…

Condensed Matter · Physics 2009-10-28 Ross H. McKenzie

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
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