Phase diagram of the anisotropic spin-2 XXZ model: Infinite-system density matrix renormalization group study

Kjäll, Jonas A.; Zaletel, Michael P.; Mong, Roger S. K.; Bardarson, Jens H.; Pollmann, Frank

doi:10.1103/physrevb.87.235106

Cited by 144 publications

(159 citation statements)

References 71 publications

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“…He used the parity DMRG because the classification of the eigenstates by the parity is essential for the LS analysis of the numerical data. Kjäll et al [15] also investigated this model by use of the DMRG based on the matrix-product states to obtain the same conclusion as ours for (B) and slightly different conclusion from ours for (A). Namely, they claimed that the ID phase does not exist on the ∆ − D 2 plane and very small D 4 term (see eq.…”

Section: Introductionsupporting

confidence: 58%

Edge Modes in the Intermediate-D and Large-D Phases of the S = 2 Quantum Spin Chain with XXZ and On-Site Anisotropies

Okamoto

Tonegawa

Sakai

et al. 2014

Proceedings of the International Conference on Strongly Correlated Electron Systems (SCES2013)

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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 mode in the ID phase, while no gapless edge mode in the LD phase. These results are consistent with the physical pictures of these phases. We also show the ground-state phase diagrams obtained by use of the exact diagonalization and the level spectroscopy analysis.

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Section: Introductionsupporting

confidence: 58%

Edge Modes in the Intermediate-D and Large-D Phases of the S = 2 Quantum Spin Chain with XXZ and On-Site Anisotropies

Okamoto

Tonegawa

Sakai

et al. 2014

Proceedings of the International Conference on Strongly Correlated Electron Systems (SCES2013)

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“…Subsequently, theoretical and numerical studies were extended to S = 2 chains and provided the Haldane gap ∆ S=2 ≈ 0.09J, 10,11 the λ − D phase diagram, 12-14 the topological differences between odd and even integer spin chains, 15,16 and a semiclassical approximation to calculate the ESR properties.…”

Section: Introductionmentioning

confidence: 99%

Antiferromagnetic order in single crystals of theS=2quasi-one-dimensional chainMnCl3(bpy)

et al. 2016

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A suite of experimental tools, including high-field magnetization and electron spin resonance (ESR) studies in magnetic fields of up to 50 T and heat capacity studies up to 9 T, have revealed antiferromagnetic order in single crystals of the Heisenberg S = 2 chain compound MnCl3(bpy), where bpy is 2,2 ′ -bipyridine. The Néel temperature, which depends on the strength of the applied magnetic field and its orientation with respect to the crystalline axes that was revealed by heat capacity measurements, is near 11.5 K in zero field. The spin-flop transition is identified in the magnetization curve acquired at 1.7 K and at µoH c SF = 24 T along the c-axis. The transition field HSF is lower than that expected from the previous antiferromagnetic resonance (AFMR) studies on a powder sample. The identification of the long-range antiferromagnetic order resolves an earlier report by Granroth et al. [Phys. Rev. Lett. 77, 1616(1996] that identified MnCl3(bpy) as an S = 2 Haldane system down to 40 mK. The ESR studies identify a wide-range of antiferromagnetic resonance modes that provide additional microscopic information about the g-values (ga * = 2.09, g b = 1.92, and gc = 2.07), the zero-field splitting constants, D = −1.5 K and E = −0.17 K when the nearest-neighbor spin interaction J/kB = 31.2 K, which is evaluated from fitting the susceptibility, and the anisotropy of this compound (easy-axis is the c-axis, the second easy-axis is the b-axis, and the hard axis is the a * -axis), when using a standard (two-sublattices) AFMR analysis that does not quantitatively reproduce the observed H

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“…SPT phases have been classified by means of entanglement properties and group theoretical considerations [27][28][29][30][31][32]. Indeed in onedimensional (1D) systems, SPT phases are the only realizable class of topological quantum states, a prominent example being the so-called Haldane phase of odd-integer spin chains [33,34]. Generalizations of the Haldane phase have been theoretically studied in the context of ultracold gases [35][36][37][38][39][40].…”

mentioning

confidence: 99%

Hidden Order and Symmetry Protected Topological States in Quantum Link Ladders

2017

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We show that whereas spin-1/2 one-dimensional U(1) quantum-link models (QLMs) are topologically trivial, when implemented in ladder-like lattices these models may present an intriguing ground-state phase diagram, which includes a symmetry protected topological (SPT) phase that may be readily revealed by analyzing long-range string spin correlations along the ladder legs. We propose a simple scheme for the realization of spin-1/2 U(1) QLMs based on single-component fermions loaded in an optical lattice with s-and p-bands, showing that the SPT phase may be experimentally realized by adiabatic preparation.The realization of lattice gauge models using ultra cold gases has attracted a major theoretical attention in recent years [1][2][3][4]. Various ideas for creating dynamical gauge fields have been proposed [5][6][7][8][9][10][11][12][13][14][15][16][17]. Recently the Schwinger model has been simulated in ion chains [18]. Particular interest has been devoted to quantum-link models (QLMs) [19], which generalize lattice gauge theory [20] by realizing continuous gauge symmetries with discrete gauge variables (quantum links). QLMs are relevant in particle physics, and in particular QCD [21], and in condensed matter physics [22,23]. In U(1) QLMs, links are represented by quantum spins and fermions provide the matter field, making these QLMs particularly suitable for simulation with cold lattice gases.In this Letter we study the topological properties of spin-1/2 U(1) QLMs. Topological quantum systems have become one of the most active research areas during the past decades [24,25]. In particular the understanding of topological phases in strongly correlated quantum systems remains challenging. The study of symmetry protected topological (SPT) states has triggered a large progress in this field [26]. SPT phases have been classified by means of entanglement properties and group theoretical considerations [27][28][29][30][31][32]. Indeed in onedimensional (1D) systems, SPT phases are the only realizable class of topological quantum states, a prominent example being the so-called Haldane phase of odd-integer spin chains [33,34]. Generalizations of the Haldane phase have been theoretically studied in the context of ultracold gases [35][36][37][38][39][40].Real or synthetic ladder-like lattices have recently constituted the focus of major efforts [41][42][43] in the context of the realization of static gauge fields in ultra-cold atomic systems. We show below that although in 1D spin-1/2 U(1) QLMs are topologically trivial, when implemented in ladder-like lattices these models present an intriguing ground-state phase diagram, which interestingly includes an SPT phase that we characterize using a generalized topological order parameter and the entanglement spectrum. We show that the SPT phase may be revealed by analyzing string spin correlations along the ladder legs. Moreover, we propose a simple scheme for the realization of the QLM based on s-p lattices [44], showing that the SPT phase may be experimentally realized by adiab...

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Phase diagram of the anisotropic spin-2 XXZ model: Infinite-system density matrix renormalization group study

Cited by 144 publications

References 71 publications

Edge Modes in the Intermediate-D and Large-D Phases of the S = 2 Quantum Spin Chain with XXZ and On-Site Anisotropies

Edge Modes in the Intermediate-D and Large-D Phases of the S = 2 Quantum Spin Chain with XXZ and On-Site Anisotropies

Antiferromagnetic order in single crystals of theS=2quasi-one-dimensional chainMnCl3(bpy)

Hidden Order and Symmetry Protected Topological States in Quantum Link Ladders

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