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Motivated by recent experiments on quasi-1D vanadium oxides, we study quantum phase transitions in a one-dimensional spin-orbital model describing a Haldane chain and a classical Ising chain locally coupled by the relativistic spin-orbit…

Strongly Correlated Electrons · Physics 2011-06-07 Alexander Nersesyan , Gia-Wei Chern , Natalia B. Perkins

The ground state phase diagram of the alternating spin-1/2 chains with anisotropic ferromagnetic coupling under the influence of a symmetry breaking transverse magnetic field is studied. We have used the exact diagonalization technique. In…

Strongly Correlated Electrons · Physics 2008-03-31 Saeed Mahdavifar , Alireza Akbari

We report a phase diagram of the antiferromagnetic spin-1 chain with nearest-neighbor Heisenberg and three-site interactions in the presence of single-ion anisotropy. We show that the Gaussian and Ising transitions that separate the…

Strongly Correlated Electrons · Physics 2025-07-01 Niels T. Pronk , Bowy M. La Rivière , Natalia Chepiga

We investigate both numerically and analytically the behaviour of a spin-1 antiferromagnetic (AFM) isotropic Heisenberg chain in an external magnetic field. Extensive DMRG studies of chains up to N=80 sites extend previous analyses and…

Strongly Correlated Electrons · Physics 2009-10-31 L. Campos Venuti , E. Ercolessi , G. Morandi , P. Pieri , M. Roncaglia

Using an asymptotically exact real space renormalization procedure, we find that the Heisenberg antiferromagnetic spin-1 chain undergoes an impurity driven second order phase transition from the Haldane phase to the random singlet phase, as…

Condensed Matter · Physics 2016-08-31 R. A. Hyman , Kun Yang

The behavior in an external magnetic field is studied for a wide class of multichain quantum spin models. It is shown that the magnetic field together with the interchain couplings cause commensurate-incommensurate phase transitions between…

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

Transfer-matrix methods are used, in conjunction with finite-size scaling and conformal invariance concepts, to generate an accurate phase diagram for a two-dimensional square-lattice Ising spin-1/2 magnet, with couplings which are positive…

Statistical Mechanics · Physics 2009-10-23 S. L. A. de Queiroz

Applying the (infinite) density-matrix renormalisation group technique, we explore the effect of an explicit dimerisation on the ground-state phase diagram of the spin-1 $XXZ$ chain with single-ion anisotropy $D$. We demonstrate that the…

Strongly Correlated Electrons · Physics 2021-04-15 Satoshi Ejima , Florian Lange , Holger Fehske

The interplay of spin and charge fluctuations in the random transverse-field Ising spin chain on the fermionic space is investigated. The finite chemical potential, which controls the charge fluctuations, leads to the appearance of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. L. Chudnovskiy

Quantum spin clusters with dominant antiferromagnetic Heisenberg exchange interactions typically exhibit a sequence of field-induced level crossings in the ground state as function of magnetic field. For fields near a level crossing, the…

Strongly Correlated Electrons · Physics 2009-11-13 O. Waldmann

The mixed spin-(1/2,1) Ising chain with axial and rhombic zero-field splitting parameters in a presence of the longitudinal magnetic field is exactly solved within the framework of decoration-iteration transformation and transfer-matrix…

Statistical Mechanics · Physics 2015-05-27 Jozef Strecka , Michal Danco

We use linked-cluster expansions to analyze the quantum phase transitions between symmetry unbroken trivial and topological Haldane phases in two different spin-one chains. The first model is the spin-one Heisenberg chain in the presence of…

Strongly Correlated Electrons · Physics 2017-12-20 P. Adelhardt , J. Gritsch , M. Hille , D. A. Reiss , K. P. Schmidt

We present in this paper an exact study concerning a first order transition induced by an inhomogeneous boundary magnetic field in the 2D Ising model. From a previous analysis of the interfacial free energy in the discrete case (J. Phys. A,…

Statistical Mechanics · Physics 2007-05-23 Maxime Clusel , Jean-Yves Fortin

We show that condensate-induced transitions between two-dimensional topological phases provide a general framework to relate one-dimensional spin models at their critical points. We demonstrate this using two examples. First, we show that…

Strongly Correlated Electrons · Physics 2013-07-18 Teresia Mansson , Ville Lahtinen , Juha Suorsa , Eddy Ardonne

In a recent paper, Clusel and Fortin [J. Phys. A.: Math. Gen. 39 (2006) 995] presented an analytical study of a first-order transition induced by an inhomogeneous boundary magnetic field in the two-dimensional Ising model. They identified…

Statistical Mechanics · Physics 2008-09-05 Elmar Bittner , Wolfhard Janke

Critical and compensation properties of a mixed spin-1 and spin-3/2 Ising ferrimagnet on a square lattice are investigated by standard and histogram Monte Carlo simulations. The critical temperature is studied as a function of a single-ion…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , A. Bobák

We report an extremely rich ground state phase diagram of two spin-1 Haldane chains frustrated with a three-site exchange and coupled by the antiferromagnetic Heisenberg interaction on a zig-zag ladder. A particular feature of the phase…

Strongly Correlated Electrons · Physics 2026-05-07 Bowy M. La Rivière , Natalia Chepiga

An interesting feature of spin-1/2 chains with a gap is that they undergo a commensurate-incommensurate transition in the presence of an external magnetic field $H$. The system is in a gapless incommensurate regime for all values of the…

Statistical Mechanics · Physics 2016-08-31 R. Chitra , T. Giamarchi

Heisenberg antiferromagnet with an easy-plane anisotropy is discussed in which a magnetic spiral is induced by Dzyaloshinskii-Moriya interaction and/or frustration of the exchange coupling. The distortion of the spiral by small in-plane…

Strongly Correlated Electrons · Physics 2026-05-05 P. T. Bolokhova , A. V. Syromyatnikov

Using the Jordan-Wigner transformation and continued fractions we calculate rigorously the thermodynamic quantities for the spin-1/2 transverse Ising chain with periodically varying intersite interactions and/or on-site fields. We consider…

Statistical Mechanics · Physics 2009-11-10 Oleg Derzhko , Johannes Richter , Taras Krokhmalskii , Oles' Zaburannyi
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