Publisher’s Note: Structure of End States for a Haldane Spin Chain [Phys. Rev. Lett. 90, 087202 (2003)]

Kenzelmann, M.; Xu, Gang; Zaliznyak, Igor; Broholm, C.; DiTusa, J. F.; Aeppli, G.; Ito, Takuya; Oka, Kengo; Takagi, H.

doi:10.1103/physrevlett.90.109902

Cited by 15 publications

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“…Resulting changes in the susceptibility have been investigated in both spin-1/2 16 and spin-1 17 Heisenberg chains as well as two-leg Heisenberg ladders 18 . In the latter two cases the chain break can lead to the formation of edge states, which have been observed in inelastic neutron scattering experiments 19 . Impurity and boundary effects are also relevant to scanning tunneling microscopy experiments 20 , where the associated breaking of translational symmetry can lead to fingerprints in the dynamic response that assist in characterising of the underlying bulk behaviour 21 .…”

Section: Introductionmentioning

confidence: 99%

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Dynamical response functions in the quantum Ising chain with a boundary

Schuricht

Eßler

2007

J. Stat. Mech.

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We determine dynamical response functions O † (t, x1)O(0, x2) in the scaling limit of the quantum Ising chain on the half line in the presence of a boundary magnetic field. Using a spectral representation in terms of infinite volume form factors and a boundary state, we derive an expansion for the correlator that is found to be rapidly convergent as long as | x 1 +x 2 ξ | 0.2 where ξ is the correlation length. At sufficiently late times we observe oscillatory behaviour of the correlations arbitrarily far away from the boundary. We investigate the effects of the boundary bound state that is present for a range of boundary magnetic fields.

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Section: Introductionmentioning

confidence: 99%

“…Since all form factors of σ z involving an odd number of particles vanish, this zero-momentum mode does not contribute to the two-point function (19) of σ z , and hence will be ignored in our analysis. Finally, we note that K(ξ) = −K(−ξ) and K(ξ) → 0 (ξ → 0) except for free boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Dynamical response functions in the quantum Ising chain with a boundary

Schuricht

Eßler

2007

J. Stat. Mech.

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“…While counterintuitive, in some situations disorder may enhance long-range order, as discussed for inhomogeneous superconductors [8][9][10]. Perhaps even more surprisingly, doping gapped antiferromagnets with a finite concentration of magnetic or non-magnetic impurities can fill up the bare spin gap with localized levels [11][12][13] which may eventually order, in the strict sense of macroscopic long-range order (LRO) at low temperature. Such an impurity-induced ordering mechanism of the type "order from disorder" [14,15] has been experimentally observed for a large number of spin-gapped compounds [16]: weakly coupled d = 1 systems such as spin-Peierls chains CuGeO 3 [17,18], spin ladders SrCu 2 O 3 [19] and BiCu 2 PO 6 [16], Haldane chains PbNi 2 V 2 O 8 [20], as well as weakly coupled dimers in TlCuCl 3 [21].…”

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confidence: 99%

Disorder-Induced Revival of the Bose-Einstein Condensation inNi(Cl1−xBrx
Dupont
¹
,
Capponi
²
,
Laflorencie
³

2017
Phys. Rev. Lett.
14
5
28
0
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Building on recent NMR experiments [A. Orlova et al., Phys. Rev. Lett. 118, 067203 (2017)], we theoretically investigate the high magnetic field regime of the disordered quasi-one-dimensional S = 1 antiferromagnetic material Ni(Cl1−xBrx)2-4SC(NH2)2. The interplay between disorder, chemically controlled by Br-doping, interactions, and the external magnetic field, leads to a very rich phase diagram. Beyond the well-known antiferromagnetically ordered regime, analog of a Bose condensate of magnons, which disappears when H ≥ 12.3 T, we unveil a resurgence of phase coherence at higher field H ∼ 13.6 T, induced by the doping. Interchain couplings stabilize finite temperature long-range order whose extension in the field -temperature space is governed by the concentration of impurities x. Such a "mini-condensation" contrasts with previously reported Bose-glass physics in the same regime, and should be accessible to experiments.Introduction.-Interacting quantum systems in the presence of disorder have been intensively studied for several decades, leading to fascinating physics, e.g. the Kondo effect [1], the many-body localization transition [2], or the superfluid to Bose-glass (BG) [3,4] transition at finite disorder for lattice bosons [5][6][7]. While counterintuitive, in some situations disorder may enhance long-range order, as discussed for inhomogeneous superconductors [8][9][10]. Perhaps even more surprisingly, doping gapped antiferromagnets with a finite concentration of magnetic or non-magnetic impurities can fill up the bare spin gap with localized levels [11-13] which may eventually order, in the strict sense of macroscopic long-range order (LRO) at low temperature. Such an impurity-induced ordering mechanism of the type "order from disorder" [14,15] [21]. Nevertheless, only a few studies have focused on the effect of an external field [22][23][24][25][26][27].In this Letter, building on recent nuclear magnetic resonance (NMR) experiments [28], we achieve a realistic theoretical study of the high magnetic field regime of Ni(Cl 1−x Br x ) 2 -4SC(NH 2 ) 2 (DTNX): a threedimensional antiferromagnetic (AF) system made of weakly coupled chains of S = 1 spins subject to singleion anisotropy [panels (b-c) of Fig. 1]. Note that the S = 1 chains are not of Haldane type, due to the large anisotropy D [29]. In the absence of chemical disorder (x = 0), NiCl 2 -4SC(NH 2 ) 2 (DTN) provides a very good realization of magnetic field-induced Bose-Einstein condensation (BEC) in a quantum spin system [30][31][32][33] between two critical field H clean

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“…Recently, impurity-induced edge states have been studied intensively by microscopic measurements such as neutron scattering and NMR [17][18][19][20], because these states reflect the underlying features of the quantum spin systems. The interaction between edge spins and the N dependence of the energy states predicted by the Hamiltonian (1) are directly related to the spin liquid nature of the Haldane system.…”

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Energy Structure of a Finite Haldane Chain inY2BaNi0.96Mg0.04O5Studied by High Field Electron Spin Resonance

et al. 2005

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This Letter presents the fine structure of energy levels for the edge states of a Haldane chain. In order to investigate the edge states, we have performed high field and multifrequency electron spin resonance (ESR) measurements of finite length S=1 antiferromagnetic chains in Y2BaNi0.96Mg0.04O5. Owing to the high spectral resolution by high fields and high frequencies, observed ESR signals can be separated into the contributions of the finite chains with various chain lengths. Our results clearly show that the edge spins actually interact with each other through the quantum spin chain and the interaction depends on the chain length N. This N dependence has been obtained experimentally for the first time, and shows that the correlation length xi in the real system is somewhat larger than that calculated by a simple Heisenberg model.

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Publisher’s Note: Structure of End States for a Haldane Spin Chain [Phys. Rev. Lett. 90, 087202 (2003)]

Cited by 15 publications

References 0 publications

Dynamical response functions in the quantum Ising chain with a boundary

Dynamical response functions in the quantum Ising chain with a boundary

Disorder-Induced Revival of the Bose-Einstein Condensation inNi(Cl1−xBrx
Dupont
¹
,
Capponi
²
,
Laflorencie
³

2017
Phys. Rev. Lett.
14
5
28
0
View full text Add to dashboard Cite

Energy Structure of a Finite Haldane Chain inY2BaNi0.96Mg0.04O5Studied by High Field Electron Spin Resonance

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Publisher’s Note: Structure of End States for a Haldane Spin Chain [Phys. Rev. Lett. 90, 087202 (2003)]

Cited by 15 publications

References 0 publications

Dynamical response functions in the quantum Ising chain with a boundary

Dynamical response functions in the quantum Ising chain with a boundary

Disorder-Induced Revival of the Bose-Einstein Condensation inNi(Cl1−xBrxDupont1, Capponi2, Laflorencie3 2017Phys. Rev. Lett.145280View full textAdd to dashboardCite

Energy Structure of a Finite Haldane Chain inY2BaNi0.96Mg0.04O5Studied by High Field Electron Spin Resonance

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Product

Resources

About

Disorder-Induced Revival of the Bose-Einstein Condensation inNi(Cl1−xBrx
Dupont
¹
,
Capponi
²
,
Laflorencie
³

2017
Phys. Rev. Lett.
14
5
28
0
View full text Add to dashboard Cite