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Related papers: The entanglement negativity in random spin chains

200 papers

Novel randomness-induced disordered ground states in two-dimensional (2D) quantum spin systems have been attracting much interest. For quantitative analysis of such random quantum spin systems, one of the most promising numerical approaches…

Strongly Correlated Electrons · Physics 2020-11-03 Kouichi Seki , Toshiya Hikihara , Kouichi Okunishi

We study the entanglement between disjoint subregions in quantum critical systems through the lens of the logarithmic negativity. We work with systems in arbitrary dimensions, including conformal field theories and their corresponding…

Strongly Correlated Electrons · Physics 2024-05-06 Gilles Parez , William Witczak-Krempa

We study the entanglement spectrum of spin-1/2 XXZ ladders both analytically and numerically. Our analytical approach is based on perturbation theory starting either from the limit of strong rung coupling, or from the opposite case of…

Strongly Correlated Electrons · Physics 2012-02-23 Andreas M. Läuchli , John Schliemann

The non-equilibrium dynamics of disordered many-body quantum systems after a global quantum quench unveils important insights about the competition between interactions and disorder, yielding in particular an insightful perspective on many…

Disordered Systems and Neural Networks · Physics 2023-03-07 Youcef Mohdeb , Javad Vahedi , Ravindra N. Bhatt , Stephan Haas , Stefan Kettemann

We study the 1D quantum Heisenberg chain with randomly ferromagnetic or antiferromagnetic couplings (a model previously studied by approximate strong-disorder RG). We find that, at least for sufficiently large spin $S$, the ground state has…

Strongly Correlated Electrons · Physics 2024-08-26 Michele Fava , Jesper Lykke Jacobsen , Adam Nahum

The low energy properties of the spin-1/2 random Heisenberg chain with ferromagnetic and antiferromagnetic interactions are studied by means of the density matrix renormalization group (DMRG) and real space renormalization group (RSRG)…

Statistical Mechanics · Physics 2009-10-28 Kazuo Hida

We reconsider the random bond antiferromagnetic spin-1/2 chain for weak disorder and demonstrate the existence of crossover length scale x_W that diverges with decreasing strength of the disorder. Recent DMRG calculations [Phys. Rev. Lett.…

Disordered Systems and Neural Networks · Physics 2009-11-07 N. Laflorencie , H. Rieger

The Kato-Bloch perturbation formalism is used to present a density-matrix renormalization-group (DMRG) method for strongly anisotropic two-dimensional systems. This method is used to study Heisenberg chains weakly coupled by the transverse…

Strongly Correlated Electrons · Physics 2009-11-10 S. Moukouri

We study the R\'enyi entanglement entropy and the Shannon mutual information for a class of spin-1/2 quantum critical XXZ chains with random coupling constants which are partially correlated. In the XX case, distinctly from the usual…

Disordered Systems and Neural Networks · Physics 2016-02-22 João C. Getelina , Francisco C. Alcaraz , José A. Hoyos

We study the one-dimensional $S=1/2$ Heisenberg model with a uniform and a staggered magnetic fields, using the dynamical density-matrix renormalization group (DDMRG) technique. The DDMRG enables us to investigate the dynamical properties…

Strongly Correlated Electrons · Physics 2007-10-19 S. Nishimoto , M. Arikawa

We study the Heisenberg $S=1/2$ chain with random ferro- and antiferromagnetic couplings using quantum Monte Carlo simulations at ultra-low temperatures, converging to the ground state. Finite-size scaling of correlation functions and…

Strongly Correlated Electrons · Physics 2025-02-26 Sibei Li , Hui Shao , Anders W. Sandvik

We study in this work the ground state entanglement properties of finite XX spin-1/2 chains with random couplings, using Jordan-Wigner transformation. We divide the system into two parts and study reduced density matrices (RDMs) of its…

Strongly Correlated Electrons · Physics 2013-08-27 Mohammad Pouranvari , Kun Yang

We study the effects of a magnetic impurity on the behavior of a $S=1/2$ spin chain. At T=0, both with and without an applied uniform magnetic field, an oscillating magnetization appears, whose decay with the distance from the impurity is…

Statistical Mechanics · Physics 2009-11-13 Tony Apollaro , Alessandro Cuccoli , Andrea Fubini , Francesco Plastina , Paola Verrucchi

Entanglement properties of excited eigenstates (or of thermal mixed states) are difficult to study with conventional analytical methods. We approach this problem for random spin chains using a recently developed real-space renormalization…

Disordered Systems and Neural Networks · Physics 2020-09-04 Yichen Huang , Joel E. Moore

Using the DMRG method we calculate the surface spin correlation function, $C_L(l)=< S_l^z S_{L+1-l}^z>$, in the spin $S=3/2$ antiferromagnetic Heisenberg chain. For comparison we also investigate the $S=1/2$ chain with S=1 impurity end…

Statistical Mechanics · Physics 2009-11-11 Gabor Fath , Ors Legeza , Peter Lajko , Ferenc Igloi

We use the two-step density-matrix renormalization group method to study the effects of frustration in Heisenberg models for $S=1/2$ to S=4 in a two-dimensional anisotropic lattice. We find that as in $S=1/2$ studied previously, the system…

Strongly Correlated Electrons · Physics 2009-11-11 S. Moukouri

We study two Heisenberg spin-1/2 chains coupled by a frustrating ``zigzag'' interaction. We are particularly interested in the regime of weak interchain coupling, which is difficult to analyse by either numerical or analytical methods.…

Strongly Correlated Electrons · Physics 2009-10-31 A. A. Aligia , C. D. Batista , F. H. L. Essler

A one-dimensional diagonal tight binding electronic system with correlated disorder is investigated. The correlation of the random potential is exponentially decaying with distance and its correlation length diverges as the concentration of…

Disordered Systems and Neural Networks · Physics 2009-11-11 I Avgin

We study the scaling of logarithmic negativity between adjacent subsystems in critical fermion chains with various inhomogeneous modulations through numerically calculating its recently established lower and upper bounds. For random…

Disordered Systems and Neural Networks · Physics 2020-08-19 Gergő Roósz , Zoltán Zimborás , Róbert Juhász

Using the density matrix renormalization group technique, we evaluate the low-energy spectrum (ground state and first excited states) of the anisotropic antiferromagnetic spin-one-half chain under magnetic fields. We study both homogeneous…

Strongly Correlated Electrons · Physics 2009-11-07 F. Capraro , C. Gros