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We present here a nonlinear sigma-model (NL$\sigma$M) study of a spin-1 antiferromagnetic Heisenberg chain in an external commensurate staggered magnetic field. We find, already at the mean-field level, excellent agreement with recent and…

Strongly Correlated Electrons · Physics 2010-12-17 Elisa Ercolessi , Giuseppe Morandi , Pierbiagio Pieri , Marco Roncaglia

The ground state of the $S=1$ antiferromagnetic Heisenberg chain belongs to the Haldane phase -- a well known example of symmetry-protected topological phase. A staggered field applied to the $S=1$ antiferromagnetic chain breaks all the…

Strongly Correlated Electrons · Physics 2015-06-09 Yohei Fuji , Frank Pollmann , Masaki Oshikawa

Tensor renormalization group, originally devised as a numerical technique, is emerging as a rigorous analytical framework for studying lattice models in statistical physics. Here we introduce a new renormalization map - the 2x1 map - which…

Statistical Mechanics · Physics 2025-06-05 Nikolay Ebel , Tom Kennedy , Slava Rychkov

We study the dynamical spin excitations of the one-dimensional $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy by using quantum Monte Carlo simulations and stochastic analytic continuation of imaginary-time correlation…

Strongly Correlated Electrons · Physics 2021-01-13 Jun-Han Huang , Guang-Ming Zhang , Dao-Xin Yao

We study the quenching of the Haldane gap in quasi-one-dimensional systems of weakly coupled spin-1 antiferromagnetic Heisenberg chains. The critical interchain coupling Jc required to stabilize long range magnetic order can be accurately…

Strongly Correlated Electrons · Physics 2014-09-25 Keola Wierschem , Pinaki Sengupta

We apply symmetric tensor network state (TNS) to study the nearest neighbor spin-1/2 antiferromagnetic Heisenberg model on Kagome lattice. Our method keeps track of the global and gauge symmetries in TNS update procedure and in tensor…

Strongly Correlated Electrons · Physics 2017-06-16 Jia-Wei Mei , Ji-Yao Chen , Huan He , Xiao-Gang Wen

Hadronic matrix elements involving tensor currents play an important r\^ole in decays that allow to probe the consistency of the Standard Model via precision lattice QCD calculations. The non-singlet tensor current is a scale-dependent…

High Energy Physics - Lattice · Physics 2023-09-11 L. Chimirri , P. Fritzsch , J. Heitger , F. Joswig , M. Panero , C. Pena , D. Preti

The ground state properties of the high spin Heisenberg chains with alternating single site anisotropy are investigated by means of the numerical exact daigonaization and DMRG method. It is found that the ferrimagnetic state appears between…

Strongly Correlated Electrons · Physics 2007-05-23 Kazuo Hida

We implement an efficient strong-disorder renormalization-group (SDRG) procedure to study disordered tight-binding models in any dimension and on the Erdos-Renyi random graphs, which represent an appropriate infinite dimensional limit. Our…

Strongly Correlated Electrons · Physics 2017-08-02 Hossein Javan Mard , Jose A. Hoyos , Eduardo Miranda , Vladimir Dobrosavljevic

Randomness and frustration are considered to be the key ingredients for the existence of spin glass (SG) phase. In a canonical system, these ingredients are realized by the random mixture of ferromagnetic (FM) and antiferromagnetic (AF)…

Disordered Systems and Neural Networks · Physics 2015-10-13 Tasrief Surungan , Freddy P. Zen , Anthony G. Williams

Spin chains are among the simplest physical systems in which electron-electron interactions induce novel states of matter. Here we show that the combination of atomic scale engineering and spectroscopic capabilities of state of the art…

Strongly Correlated Electrons · Physics 2014-01-29 F. Delgado , C. D. Batista , J. Fernández-Rossier

We show that numerical quasi-one-dimensional renormalization group allows accurate study of weakly coupled chains with modest computational effort. We perform a systematic comparison with exact diagonalization results in two and three-leg…

Strongly Correlated Electrons · Physics 2007-05-23 J. V. Alvarez , S. Moukouri

By using Density Matrix Renormalization Group (DMRG) technique we study the phase diagram of 1D extended anisotropic Heisenberg model with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions. We analyze…

Strongly Correlated Electrons · Physics 2015-11-24 Evgeny Plekhanov , Adolfo Avella , Ferdinando Mancini

We use the density matrix renormalization group (DMRG) to map out the ground state of a XY-spin chain coupled to dispersionless phonons of frequency $% \omega $. We confirm the existence of a critical spin-phonon coupling $% \alpha…

Condensed Matter · Physics 2009-10-28 L. G. Caron , S. Moukouri

The $s=1$ Heisenberg Antiferromagnet is studied in the presence of two kinds of local impurities. First, a perturbed antiferromagnetic bond with $J'\ne J$ at the center of an even-length open chain is considered. Using the density matrix…

Condensed Matter · Physics 2009-10-22 Erik Sorensen , Ian Affleck

The ground-state phase transitions of a frustrated S=1 Heisenberg chain with the uniaxial single-ion-type anisotropy and the frustrating next-nearest-neighbor coupling are studied. For the system, it has been shown that there are gapless…

Statistical Mechanics · Physics 2009-10-31 Toshiya Hikihara

Well-mixed chemical reaction networks (CRNs) contain many distinct chemical species with copy numbers that fluctuate in correlated ways. While those correlations are typically monitored via Monte Carlo sampling of stochastic trajectories,…

Statistical Mechanics · Physics 2026-01-14 John P. Zima , Schuyler B. Nicholson , Todd R. Gingrich

The Heisenberg model for spin-1 bosons in one dimension presents many different quantum phases including the famous topological Haldane phase. Here we study the robustness of such phases in front of a SU(2) symmetry breaking field as well…

Quantum Gases · Physics 2011-09-30 G. De Chiara , M. Lewenstein , A. Sanpera

Long range magnetic ordering in the quasi-one-dimensional random-bond antiferromagnet BaCu$_2$(Si$_{1-x}$Ge$_{x}$)$_2$O$_7$ is studied in $\mu$SR experiments as a function of disorder strength. Compared to the disorder-free parent…

Strongly Correlated Electrons · Physics 2014-12-04 M. Thede , T. Haku , T. Masuda , C. Baines , E. Pomjakushina , G. Dhalenne , A. Revcolevschi , E. Morenzoni , A. Zheludev

We investigate the magnetic field behaviour of an antiferromagnetic Heisenberg spin-1 chain with the most general single-ion anisotropy. We discuss the regime in which the magnetic field is below the transition value. The splitting of the…

Condensed Matter · Physics 2009-10-22 O. Golinelli , Th. Jolicoeur , R. Lacaze