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The ground state of spin-1 Haldane chains is characterized by the so-called string order. We show that the same hidden order is also present in ordinary one-dimensional band insulators. We construct a family of Hamiltonians which connects…

Strongly Correlated Electrons · Physics 2013-05-29 F. Anfuso , A. Rosch

We investigate the edge modes at T=0 in the intermediate-D (ID) phase and the large-D (LD) phase of the S=2 quantum spin chain with the XXZ anisotropy and the generalized on-site anisotropies by use of the DMRG. There exists a gapless edge…

Strongly Correlated Electrons · Physics 2015-10-20 Kiyomi Okamoto , Takashi Tonegawa , Toru Sakai , Makoto Kaburagi

Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum…

Quantum Gases · Physics 2022-05-04 Torsten V. Zache , Christian Kokail , Bhuvanesh Sundar , Peter Zoller

The spectrum of a one-dimensional chain of $SU(n)$ spins positioned at the static equilibrium positions of the particles in a corresponding classical Calogero system with an exchange interaction inversely proportional to the square of their…

Condensed Matter · Physics 2009-10-22 H. Frahm

The promotion of collinear classical spin configurations as well as the enhanced tendency towards nearest-neighbor clustering of the quantum spins are typical features of the frustrating isotropic three-body exchange interactions in…

Strongly Correlated Electrons · Physics 2016-05-16 N. B. Ivanov , S. I. Petrova , J. Schnack

The phase diagram of the spin-1 chain with bilinear-biquadratic and next-nearest neighbor inter- actions, recently investigated by Pixley, Shashi and Nevidomskyy [Phys. Rev. B 90, 214426 (2014)], has been revisited in the light of results…

Strongly Correlated Electrons · Physics 2016-11-02 Natalia Chepiga , Ian Affleck , Frederic Mila

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

Neutron diffraction experiments performed on the Haldane gap material NDMAP in high magnetic fields applied at an angle to the principal anisotropy axes reveal two consecutive field-induced phase transitions. The low-field phase is the…

Strongly Correlated Electrons · Physics 2009-11-10 A. Zheludev , B. Grenier , E. Ressouche , L. -P. Regnault , Z. Honda K. Katsumata

The antiferromagnetic Heisenberg spin chain of odd spin $S$ is in the Haldane phase with several defining physical properties, such as thermodynamical ground-state degeneracy, symmetry-protected edge states, and nonzero string order…

Strongly Correlated Electrons · Physics 2014-07-11 Qing-Rui Wang , Peng Ye

We investigate the formation of spin gap in one-dimensional models characterized by the groups with hidden dynamical symmetries. A family of two-parametric models of isotropic and anisotropic Spin-Rotator Chains characterized by SU(2)x…

Strongly Correlated Electrons · Physics 2009-11-10 M. N. Kiselev , D. N. Aristov , K. Kikoin

We investigate the ground state properties of a newly discovered phase of one dimensional lattice bosons with extended interactions (see E. G. Dalla Torre et al., Phys. Rev. Lett. \textbf{97}, 260401 (2006)). The new phase, termed the…

Strongly Correlated Electrons · Physics 2008-06-18 Erez Berg , Emanuele G. Dalla Torre , Thierry Giamarchi , Ehud Altman

We study the phase transition of isotropic spin-1 models in the vicinity of the Uimin-Lai-Sutherland model by using the SU(3)_1 WZW model with certain marginal perturbations. The unstable RG trajectory by a marginally relevant perturbation…

Statistical Mechanics · Physics 2016-08-31 Chigak Itoi , Masa-Hide Kato

Here we investigate the phase diagram of the SO(n) bilinear-biquadratic quantum spin chain by studying the global quantum correlations of the ground state. We consider the cases of n=3,4 and 5 and focus on the geometric entanglement in the…

Strongly Correlated Electrons · Physics 2015-05-20 Roman Orus , Tzu-Chieh Wei , Hong-Hao Tu

The spin-1/2 XXZ Heisenberg chain with two types of boundary terms is considered. For the first type, the Hamiltonian is hermitian but not for the second type which includes the U_{q}[SU(2)] symmetric case. It is shown that for a certain…

High Energy Physics - Theory · Physics 2015-06-26 Uwe Grimm , Vladimir Rittenberg

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 spin-1/2 ferromagnetic-antiferromagnetic alternating Heisenberg chain with ferromagnetic next-nearest-neighbour (NNN) interaction is investigated. The ground state is the Haldane phase for weak NNN interaction, and is the ferromagnetic…

Strongly Correlated Electrons · Physics 2013-05-10 Kazuo Hida , Ken'ichi Takano , Hidenori Suzuki

We study different phases of the one-dimensional bond-alternating spin-$1/2$ Heisenberg model by using the symmetry fractionalization mechanism. We employ the infinite matrix-product state representation of the ground state (through the…

Strongly Correlated Electrons · Physics 2014-10-20 R. Haghshenas , A. Langari , A. T. Rezakhani

It has been shown recently that inhomogenous spin chains can exhibit exotic phenomena such as the breaking of the area law of the entanglement entropy. An example is given by the rainbow model where the exchange coupling constants decrease…

Strongly Correlated Electrons · Physics 2022-11-17 Nadir Samos Sáenz de Buruaga , Silvia N. Santalla , Javier Rodríguez-Laguna , Germán Sierra

The seminal Haldane model brings up a paradigm beyond the quantum Hall effect to look for a plethora of topological phases in the honeycomb and other lattices. Here we dwell into this model considering a full parameter space in the presence…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Tanay Nag , Saptarshi Mandal

We investigate quantum phase transitions in the frustrated orthogonal-dimer chain with an arbitrary spin $S \geq 1/2$. When the ratio of the competing exchange couplings is varied, first-order phase transitions occur 2S times among distinct…

Strongly Correlated Electrons · Physics 2009-11-07 Akihisa Koga , Norio Kawakami
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