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One dimensional spin 1 systems may have a rich phase diagram including Haldane gap and dimerized phases if the usually very small biquadratic exchange becomes significant. We show that this unlikely condition may be fulfilled in electron…

Strongly Correlated Electrons · Physics 2009-10-31 Frederic Mila , Fu-Chun Zhang

For w-legged antiferromagnetic spin-1/2 Heisenberg ladders, a long-range spin-pairing order can be identified which enables the separation of the space spanned by finite-range (covalent) valence-bond configurations into w+1 subspaces. Since…

Strongly Correlated Electrons · Physics 2015-06-25 M. A. Garcia-Bach

We explore the physics of a spin-1/2 Heisenberg chain with Kondo interaction, $J_k$, to a two-dimensional electron gas. At weak $J_k$ the problem maps onto a Heisenberg chain locally coupled to a dissipative Ohmic bath. At the decoupled…

Strongly Correlated Electrons · Physics 2022-11-24 Bimla Danu , Matthias Vojta , Tarun Grover , Fakher F. Assaad

Using large-scale determinant quantum Monte Carlo simulations in combination with the stochastic analytical continuation, we study two-particle dynamical correlation functions in the anisotropic square lattice of weakly coupled…

Strongly Correlated Electrons · Physics 2013-08-22 Marcin Raczkowski , Fakher F. Assaad

Topological superconductivity is currently one of the prime interests, given the properties of its exotic nature of chiral edge states. A broken time-reversal symmetry (TRS) is an essential ingredient in the recipe of a chiral edge state.…

Superconductivity · Physics 2025-08-05 Sajid Sekh , Andrzej Ptok

A simple and efficient method for calculating the ground state for a class of antiferromagnet systems is presented. It combines the valence bond structure of the ground state for this class of systems and real space renormalization group.…

Strongly Correlated Electrons · Physics 2007-05-23 E. Rico

We present an exact diagonalization study on layered $J_{1}-J_{2}$ antiferromagnetic Heisenberg spin model to examine the role of frustration induced by inplane next-nearest neighbor coupling $J_{2}$, in presence of interlayer…

Statistical Mechanics · Physics 2016-04-05 Md Mahfoozul Haque , M. A. H. Ahsan , Jamal Berakdar , Dipan K Ghosh

By means of electron spin resonance investigations we revealed the crucial role of the interchain coupling in the spin dynamics of the spin-1/2 Heisenberg antiferromagnetic (AF) chain material copper-pyrazine-dinitrate,…

Strongly Correlated Electrons · Physics 2013-01-01 A. A. Validov , M. Ozerov , J. Wosnitza , S. A. Zvyagin , M. M. Turnbull , C. P. Landee , G. B. Teitel'baum

We perform a systematic investigation of an asymmetric zig-zag spin ladder with inter-leg exchange $J_1$ and different exchange integrals $J_2 \pm \delta$ on both legs. In the weak limit of frustration, the spin model can be mapped to a…

Strongly Correlated Electrons · Physics 2016-08-16 Shu Chen , H. Büttner , J. Voit

We study the ground-state properties of weakly frustrated Heisenberg ferrimagnetic chains with nearest and next-nearest neighbor antiferromagnetic exchange interactions and two types of alternating sublattice spins S_1 > S_2, using 1/S…

Strongly Correlated Electrons · Physics 2009-10-31 N. B. Ivanov , J. Richter , U. Schollwoeck

The ordering temperature of a quasi-one-dimensional system, consisting of weakly interacting quantum spin-1/2 chains with antiferromagnetic spin-frustrating couplings (or zig-zag ladder) is calculated. The results show that a quantum…

Strongly Correlated Electrons · Physics 2009-11-13 A. A. Zvyagin , S. -L. Drechsler

This paper is concerned with physics of the low energy singlet excitations found to exist below the spin gap in numerical studies of the Kagome lattice quantum Heisenberg antiferromagnet. Insight into the nature of these excitations is…

Strongly Correlated Electrons · Physics 2010-07-16 P. Nikolic , T. Senthil

We develop a low-energy effective theory for spin-1/2 frustrated two-leg Heisenberg spin ladders. We obtain a new type of interchain coupling that breaks parity symmetry. In the presence of an XXZ-type anisotropy, this interaction gives…

Strongly Correlated Electrons · Physics 2009-10-31 Alexander A. Nersesyan , Alexander O. Gogolin , Fabian H. L. Essler

States of matter that break time-reversal symmetry are invariably associated with magnetism or circulating currents. Recently, one of us proposed a phase, the directional scalar spin chiral order (DSSCO), as an exception: it breaks…

Strongly Correlated Electrons · Physics 2020-11-09 Shun-Chiao Chang , Pavan Hosur

A continuum limit treatment of planar spin chains with arbitrary S is presented. The difference between integer and half-integer spins is emphasised. While isotropic half-integer spin chains are gapless,and have power-law decay of…

Other Condensed Matter · Physics 2016-12-02 F. D. M. Haldane

Ordering of frustrated S=1/2 and 1 XY and Heisenberg spin chains with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings is studied by exact diagonalization and density-matrix renormalization-group methods. It is…

Strongly Correlated Electrons · Physics 2009-10-31 M. Kaburagi , H. Kawamura , T. Hikihara

Assemblies of interacting quantum particles often surprise us with properties that are difficult to predict. One of the simplest quantum many-body systems is the spin 1/2 Heisenberg antiferromagnetic chain, a linear array of interacting…

Strongly Correlated Electrons · Physics 2013-07-02 M. Mourigal , M. Enderle , A. Klöpperpieper , J. -S. Caux , A. Stunault , H. M. Rønnow

Exact ground state properties of antiferromagnetic Heisenberg spin rings with isotropic next neighbour interaction are presented for various numbers of spin sites and spin quantum numbers. Earlier work by Peierls, Marshall, Lieb, Schultz…

Statistical Mechanics · Physics 2009-10-31 K. Baerwinkel , H. -J. Schmidt , J. Schnack

We study the problem of spin diffusion in magnetic systems without long-range order. We discuss the example of the 1D spin chain. For the system described by the Heisenberg Hamiltonian we show that there are no diffusive excitations.…

Condensed Matter · Physics 2007-05-23 Boris Narozhny

Large spin systems as given by magnetic macromolecules or two-dimensional spin arrays rule out an exact diagonalization of the Hamiltonian. Nevertheless, it is possible to derive upper and lower bounds of the minimal energies, i.e. the…

Statistical Mechanics · Physics 2009-11-07 K. Baerwinkel , H. -J. Schmidt , J. Schnack
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