Effective realization of random magnetic fields in compounds with large single-ion anisotropy

Herbrych, Jacek; Kokalj, Jure

doi:10.1103/physrevb.95.125129

Cited by 6 publications

(5 citation statements)

References 68 publications

(90 reference statements)

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“…Introduction-There is a vast numerical evidence supporting the presence of many-body localization (MBL) [1,2] in strongly disordered one-dimensional systems (1D), such as spin chains or equivalent models of interacting spinless fermions [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Furthermore, disorderinduced localization is consistent with several experimental studies of cold-atoms in optical lattices [21][22][23][24][25][26].…”

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confidence: 60%

Resistivity and its fluctuations in disordered many-body systems: From chains to planes

et al. 2020

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We study a quantum particle coupled to hard-core bosons and propagating on disordered ladders with R legs. The particle dynamics is studied with the help of rate equations for the boson-assisted transitions between the Anderson states. We demonstrate that for finite R < ∞ and sufficiently strong disorder the dynamics is subdiffusive, while the two-dimensional planar systems with R → ∞ appear to be diffusive for arbitrarily strong disorder. The transition from diffusive to subdiffusive regimes may be identified via statistical fluctuations of resistivity. The corresponding distribution function in the diffusive regime has fat tails which decrease with the system size L much slower than 1/ √ L. Finally, we present evidence that similar non-Gaussian fluctuations arise also in standard models of many-body localization, i.e., in strongly disordered quantum spin chains.

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confidence: 60%

Resistivity and its fluctuations in disordered many-body systems: From chains to planes

et al. 2020

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“…Still, they exhibit several singular dynamical and static properties , although probably not yet of localized MBL nature. On the other hand, it has been recently recognized that real materials described by

S = 1

Hamiltonian with single–ion anisotropy, i.e.,

{NiCl}_{1 - x} {Br}_{x} \cdot 4 SC {({NH}_{2})}_{2}

, in the presence of external magnetic field can be mapped on a disordered Heisenberg chain with random magnetic field and can come close to the MBL physics .…”

Section: Disordered 1d Model Of Interacting Spinless Fermionsmentioning

confidence: 99%

Density correlations and transport in models of many‐body localization

et al. 2017

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We present a review of recent theoretical results concerning the many-body localization (MBL) phenomenon, with the emphasis on dynamical density correlations and transport quantities. They are shown to be closely related, providing a comprehensive description of the ergodic-to-nonergodic transition, consistent with experimental findings. While the focus is set mostly on the one-dimensional model of interacting spinless fermions, we also present evidence for the absence of full MBL in the one-dimensional Hubbard model and for the density-wave decay induced by the inter-chain coupling.

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“…Two models with these properties are the random field model (RFM) and the random anisotropy model (RAM), where the disorder is caused by the competition between the exchange interaction and the coupling to local random fields and anisotropies respectively. The RFM and RAM is used to model quenched spin disorder and amorphous magnets respectively [44][45][46][47][48][49]. Experimental realizations of such systems are plentiful [50][51][52][53][54].…”

Section: Introductionmentioning

confidence: 99%

Scattering theory of transport through disordered magnets

2019

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We present a scattering theory of transport through noncollinear disordered magnetic insulators. For concreteness, we study and compare the random field model (RFM) and the random anisotropy model (RAM). The RFM and RAM are used to model random spin disorder systems and amorphous materials, respectively. We utilize the Landauer-Büttiker formalism to compute the transmission probability and spin conductance of one-dimensional disordered spin chains. The RFM and the RAM both exhibit Anderson localization, which means that the transmission probability and spin conductance decay exponentially with the system length. We define two localization lengths based on the transmission probability and the spin conductance, respectively. Next, we numerically determine the relationship between the localization lengths and the strength of the disorder. In the limit of weak disorder, we find that the localization lengths obey power laws and determine the critical exponents. Our results are expressed via the universal exchange length and are therefore expected to be general. arXiv:1908.00817v3 [cond-mat.mes-hall]

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Effective realization of random magnetic fields in compounds with large single-ion anisotropy

Cited by 6 publications

References 68 publications

Resistivity and its fluctuations in disordered many-body systems: From chains to planes

Resistivity and its fluctuations in disordered many-body systems: From chains to planes

Density correlations and transport in models of many‐body localization

Scattering theory of transport through disordered magnets

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