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The $S=1/2$ Heisenberg chains with bond alternation and randomness on the strong bonds are studied by the density matrix renormalization group method. It is assumed that the odd-th bond is antiferromagnetic with strength $J$ and even-th…

Strongly Correlated Electrons · Physics 2009-11-07 Kazuo Hida

This article concludes a series of papers (R. Folk, Yu. Holovatch, and G. Moser, Phys. Rev. E 78, 041124 (2008); 78, 041125 (2008); 79, 031109 (2009)) where the tools of the field theoretical renormalization group were employed to explain…

Statistical Mechanics · Physics 2015-07-02 R. Folk , Yu. Holovatch , G. Moser

The mechanism of appearance of exponentially large number of metastable states in magnetic phases of disordered Ising magnets with short-range random exchange is suggested. It is based on the assumption that transitions into inhomogeneous…

Disordered Systems and Neural Networks · Physics 2016-08-31 P. N. Timonin

We study multifractality in a broad class of disordered systems which includes, e.g., the diluted x-y model. Using renormalized field theory we analyze the scaling behavior of cumulant averaged dynamical variables (in case of the x-y model…

Statistical Mechanics · Physics 2009-11-10 Olaf Stenull

The Ising and BEG models critical behavior is analyzed in 2D and 3D by means of a renormalization group scheme on small clusters made of a few lattice cells. Different kinds of cells are proposed for both ordered and disordered model cases.…

Statistical Mechanics · Physics 2014-12-23 Fabrizio Antenucci , Andrea Crisanti , Luca Leuzzi

By using the coupled cluster method, the numerical exact diagonalization method, and the numerical density matrix renormalization group method, we investigated the properties of the one-dimensional Heisenberg chain with alternating…

Strongly Correlated Electrons · Physics 2015-12-09 Jian-Jun Jiang , Fei Tang , Cui-Hong Yang

The critical behaviour of the randomly spin-diluted Ising model in two space dimensions is investigated by a new method which combines a grand ensemble approach to disordered systems proposed by Morita with the phenomenological…

Condensed Matter · Physics 2009-10-22 R. Kühn

The study of quantum frustrated systems remains one of the most challenging subjects of quantum magnetism, as they can hold quantum spin liquids, whose characterization is quite elusive. The presence of gapped quantum spin liquids…

Strongly Correlated Electrons · Physics 2019-10-16 D. Castells-Graells , A. Yuste , A. Sanpera

We reconsider the problem of the critical behavior of a three-dimensional $O(m)$ symmetric magnetic system in the presence of random anisotropy disorder with a generic trimodal random axis distribution. By introducing $n$ replicas to…

Disordered Systems and Neural Networks · Physics 2020-02-07 Dmytro Shapoval , Maxym Dudka , Andrei A. Fedorenko , Yurij Holovatch

The spin dynamics in the block magnetic phase of the iron-based ladder compound \bfs\ has been studied by means of single crystal inelastic neutron scattering. Using linear spin wave theory and Monte-Carlo simulations, our analysis points…

Strongly Correlated Electrons · Physics 2023-07-26 Roll A. , Petit S. , Forget A. , Colson D. , Banerjee A. , Foury-Leylekian P. , Balédent V

We study the ferromagnetic phase transition in a randomly layered Heisenberg magnet using large-scale Monte-Carlo simulations. Our results provide numerical evidence for the infinite-randomness scenario recently predicted within a…

Statistical Mechanics · Physics 2015-03-19 Fawaz Hrahsheh , Hatem Barghathi , Thomas Vojta

A nonperturbative approach is developed to analyze superconducting circuits coupled to quantized electromagnetic continuum within the framework of the functional renormalization group. The formalism allows us to determine complete physical…

Quantum Physics · Physics 2023-05-03 Takeru Yokota , Kanta Masuki , Yuto Ashida

The phase diagrams of highly frustrated quantum spin systems can exhibit first-order quantum phase transitions and thermal critical points even in the absence of any long-ranged magnetic order. However, all unbiased numerical techniques for…

Strongly Correlated Electrons · Physics 2022-02-09 L. Weber , A. Honecker , B. Normand , P. Corboz , F. Mila , S. Wessel

The nonperturbative renormalization group has been considered as a solid framework to investigate fixed point and critical exponents for matrix and tensor models, expected to correspond with the so-called double scaling limit. In this…

High Energy Physics - Theory · Physics 2023-04-18 Vincent Lahoche , Dine Ousmane Samary

We study the critical breakdown of two-dimensional quantum magnets in the presence of algebraically decaying long-range interactions by investigating the transverse-field Ising model on the square and triangular lattice. This is achieved…

Strongly Correlated Electrons · Physics 2019-01-09 S. Fey , Sebastian C. Kapfer , K. P. Schmidt

We show the importance of both strong frustration and spin-lattice coupling for the stabilization of magnetization plateaus in translationally invariant two-dimensional systems. We consider a frustrated spin-1/2 Heisenberg model coupled to…

Strongly Correlated Electrons · Physics 2009-11-13 Samuele Bissola , Valeria Lante , Alberto Parola , Federico Becca

Frustrated spin-systems have traditionally proven challenging to understand, owing to a scarcity of controlled methods for their analyses. By contrast, under strong magnetic fields, certain aspects of spin systems admit simpler and…

Strongly Correlated Electrons · Physics 2024-02-15 Shouvik Sur , Yi Xu , Shuyi Li , Shou-Shu Gong , Andriy H. Nevidomskyy

We present a numerical study of the magnetization process of frustrated quantum spin-S chains with S=1, 3/2, 2 as well as the classical limit. Using the exact diagonalization and density-matrix renormalization techniques, we provide…

Strongly Correlated Electrons · Physics 2007-05-23 F. Heidrich-Meisner , I. A. Sergienko , A. E. Feiguin , E. R. Dagotto

Using the strong disorder renormalization group method we study numerically the critical behavior of the random transverse Ising model at a free surface, at a corner and at an edge in D=2, 3 and 4-dimensional lattices. The surface…

Disordered Systems and Neural Networks · Physics 2013-01-22 István A. Kovács , Ferenc Iglói

The magnetization process of the S=1/2 Heisenberg antiferromagnet on the kagome lattice is studied by the numerical-diagonalization method. We successfully obtain a new result of the magnetization process of a 42-site cluster in the entire…

Strongly Correlated Electrons · Physics 2014-10-02 Hiroki Nakano , Toru Sakai