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We study the phase-ordering kinetics of the one-dimensional Heisenberg model with conserved order parameter, by means of scaling arguments and numerical simulations. We find a rich dynamical pattern with a regime characterized by two…

Statistical Mechanics · Physics 2009-06-15 R. Burioni , F. Corberi , A. Vezzani

We consider an $S=1/2$ antiferromagnetic quantum Heisenberg chain where each site is coupled to an independent bosonic bath with ohmic dissipation. The coupling to the bath preserves the global SO(3) spin symmetry. Using large-scale,…

Strongly Correlated Electrons · Physics 2022-08-08 Manuel Weber , David J. Luitz , Fakher F. Assaad

I introduce two continuous transformations between the $S=1$ Heisenberg chain and the antiferromagnetic $S=1/2$ Heisenberg ladder. Both transformations couple diagonally situated {\it next nearest neighbor} $S=1/2$'s to form each $S=1$.…

Condensed Matter · Physics 2016-08-31 Steven R. White

We present an antiferromagnetic quantum spin-1/2 model on honeycomb lattice. It has two parts, one of which is the usual nearest-neighbor Heisenberg model. The other part is a certain multiple spin interaction term, introduced by us, which…

Strongly Correlated Electrons · Physics 2015-05-13 Rakesh Kumar , Dushyant Kumar , Brijesh Kumar

We look at the general SU(2) invariant spin-1 Heisenberg model. This family includes the well known Heisenberg ferromagnet and antiferromagnet as well as the interesting nematic (biquadratic) and the largely mysterious staggered-nematic…

Mathematical Physics · Physics 2014-10-06 Benjamin Lees

We investigate the build-up of quasi-long-range order in the XX chain with transverse magnetic field at finite size. As the field is varied, the ground state of the system displays multiple level crossings producing a sequence of…

Quantum Physics · Physics 2009-11-13 Wonmin Son , Luigi Amico , Francesco Plastina , Vlatko Vedral

The isotropic limit of spin systems with orbital degeneracy is shown to have global SU(4) symmetry. On many 2D lattices, the ground state does not posses long range order, which may explain the observed spin liquid properties of $LiNiO_2$.…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Q. Li , Michael Ma , D. N. Shi , F. C. Zhang

Nonlinear covariant parity-violating deformations of free spin-two gauge theory are studied in n>2 spacetime dimensions, using a linearized frame and spin-connection formalism, for a set of massless spin-two fields. It is shown that the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Stephen C. Anco

We analyze an anisotropic spin 1/2 two legs ladder in the presence of various type of random perturbations. The generic phase diagram for the pure system, in a way similar to spin one chains, consists of four phases: an Antiferromagnet, a…

Strongly Correlated Electrons · Physics 2009-10-30 E. Orignac , T. Giamarchi

Various lattice geometries and boundaries are used to investigate valence-bond-solid (VBS) ordering in the ground state of an S=1/2 square-lattice quantum spin model---the J-Q model, in which 4- or 6-spin interactions Q are added to the…

Strongly Correlated Electrons · Physics 2012-04-24 Anders W. Sandvik

Two quantum spin models with bilinear-biquadratic exchange interactions are constructed on the checkerboard lattice. It is proved that, under certain sufficient conditions on the exchange parameters, their ground states consist of two…

Strongly Correlated Electrons · Physics 2012-11-01 Brijesh Kumar

A s=1/2 antiferromagnetic spin chain is equivalent to the two-flavor massless Schwinger model in an uniform background charge density in the strong coupling. The gapless mode of the spin chain is represented by a massless boson of the…

Statistical Mechanics · Physics 2009-10-30 Yutaka Hosotani

We consider a two-chain, spin-1/2 antiferromagnetic Heisenberg spin ladder in an external magnetic field H. The spin ladder is known to undergo second order quantum phase transitions (QPTs) at two critical values, Hc1 and Hc2, of the…

Quantum Physics · Physics 2009-11-13 Amit Tribedi , Indrani Bose

Disorder in magnetic systems typically suppresses long-range order, promoting short-range states such as spin glasses and magnetic clusters. This is particularly prominent in high-entropy materials, characterized by the random distributions…

The physical properties of the edge states of the cut two-leg spin ladder are investigated by means of the bosonization approach. By carefully treating boundary conditions, we derive the existence of spin-1/2 edge states in the spin ladder…

Strongly Correlated Electrons · Physics 2009-11-07 P. Lecheminant , E. Orignac

Motivated by the recent Ge hole spin qubit experiments, we construct and study a two-leg spin ladder from a quantum dot array with spin-orbit couplings (SOCs), aiming to uncover the many-body phase diagrams and provide concrete guidance for…

Strongly Correlated Electrons · Physics 2026-01-13 Yang-Zhi Chou , Sankar Das Sarma

The topological defects of Spin($n+1$) nematics in two spatial dimensions, known as disclinations, are characterized by the $\pi_1(\mathbb{R}P^n) = \textrm{Z}_2$ homotopy group for $n\ge2$. We argue that incompressible quantum liquids of…

Strongly Correlated Electrons · Physics 2024-12-18 Predrag Nikolić

We investigate the long-distance asymptotic behavior of the dimer correlations in the spin-1/2 alternating $XY$chain both at T=0 and at sufficiently low-temperatures. The correlations consist of the dimer long-range order part and the…

Condensed Matter · Physics 2007-05-23 Yohei Saika , Kiyomi Okamoto

We theoretically investigate effects of lattice distortions on the spin ordering of classical Heisenberg antiferromagnets on the breathing pyrochlore lattice. In the model, local lattice distortions originating from the site vibration are…

Strongly Correlated Electrons · Physics 2019-04-15 Kazushi Aoyama , Hikaru Kawamura

We consider the bipartite entanglement entropy of ground states of extended quantum systems with a large degeneracy. Often, as when there is a spontaneously broken global Lie group symmetry, basis elements of the lowest-energy space form a…

Statistical Mechanics · Physics 2013-05-30 Olalla A. Castro-Alvaredo , Benjamin Doyon