Thermodynamics of strongly disordered spin ladders

Yusuf, Eddy; Yang, Kun

doi:10.1103/physrevb.65.224428

Cited by 12 publications

(25 citation statements)

References 34 publications

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“…The question whether or not these large effective spins proliferate at low energy is very important. In the undoped case ͑with bond randomness only͒, we have shown 15 that these large effective spins do not proliferate for the reasons discussed in Sec. II.…”

Section: Numerical Resultsmentioning

confidence: 92%

“…15 However, the percentage of these large effective spins remains low at all stages of the RG, and in the low-energy limit, their percentage decreases as the energy scale is going down, due to the fact that the overall strength of the ferromagnetic bonds becomes much weaker than that of the antiferromagnetic bonds, even though they have roughly the same numbers. Such a behavior may be understood in the following way.…”

Section: Model and Review Of Previous Resultsmentioning

confidence: 99%

“…Several authors have investigated the effects of bond randomness. [13][14][15] It was found that the ladder is remarkably stable against weak bond randomness. 13 Stronger randomness introduces a large density of low-energy excitations into the system, 14,15 which can lead to divergent spin susceptibility in the limit T→0.…”

Section: Introductionmentioning

confidence: 99%

“…[13][14][15] It was found that the ladder is remarkably stable against weak bond randomness. 13 Stronger randomness introduces a large density of low-energy excitations into the system, 14,15 which can lead to divergent spin susceptibility in the limit T→0. 15 However, the spin-spin correlation remains short ranged, 15 contrary to what occurs in strongly disordered antiferromagnetic spin chains.…”

Section: Introductionmentioning

confidence: 99%

“…13 Stronger randomness introduces a large density of low-energy excitations into the system, 14,15 which can lead to divergent spin susceptibility in the limit T→0. 15 However, the spin-spin correlation remains short ranged, 15 contrary to what occurs in strongly disordered antiferromagnetic spin chains. 3,8 In real systems, bond randomness is typically induced by impurities away from the ladder, which distort the lattice structure ͑and hence coupling constants͒ without affecting the spins that form the ladder.…”

Section: Introductionmentioning

confidence: 99%

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Large moment formation and thermodynamic properties of disordered spin ladders with site dilution

Yusuf

Yang

2003

Phys. Rev. B

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Low temperature properties of antiferromagnetic two-leg spin-1/2 ladders with bond randomness and site dilution ͑or doping with nonmagnetic impurities͒ are studied using the real-space renormalization-group technique. We find that for nonzero dopant concentrations the systems are driven into a phase dominated by large effective spins, i.e., the large spin phase. The susceptibility follows a universal Curie-like 1/T behavior at low temperature, regardless of the dopant concentration ͑as long as it is nonzero͒ and the strength of bond randomness. A very similar behavior has been found in ladders that are doped with magnetic impurities that carry spin-1.

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Section: Numerical Resultsmentioning

confidence: 92%

Section: Model and Review Of Previous Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Large moment formation and thermodynamic properties of disordered spin ladders with site dilution

Yusuf

Yang

2003

Phys. Rev. B

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Strong disorder RG approach of random systems

2005

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There is a large variety of quantum and classical systems in which the quenched disorder plays a dominant r\^ole over quantum, thermal, or stochastic fluctuations : these systems display strong spatial heterogeneities, and many averaged observables are actually governed by rare regions. A unifying approach to treat the dynamical and/or static singularities of these systems has emerged recently, following the pioneering RG idea by Ma and Dasgupta and the detailed analysis by Fisher who showed that the Ma-Dasgupta RG rules yield asymptotic exact results if the broadness of the disorder grows indefinitely at large scales. Here we report these new developments by starting with an introduction of the main ingredients of the strong disorder RG method. We describe the basic properties of infinite disorder fixed points, which are realized at critical points, and of strong disorder fixed points, which control the singular behaviors in the Griffiths-phases. We then review in detail applications of the RG method to various disordered models, either (i) quantum models, such as random spin chains, ladders and higher dimensional spin systems, or (ii) classical models, such as diffusion in a random potential, equilibrium at low temperature and coarsening dynamics of classical random spin chains, trap models, delocalization transition of a random polymer from an interface, driven lattice gases and reaction diffusion models in the presence of quenched disorder. For several one-dimensional systems, the Ma-Dasgupta RG rules yields very detailed analytical results, whereas for other, mainly higher dimensional problems, the RG rules have to be implemented numerically. If available, the strong disorder RG results are compared with another, exact or numerical calculations.Comment: review article, 195 pages, 36 figures; final version to be published in Physics Report

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Disorder-driven non-Fermi liquid behaviour of correlated electrons

2005

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Systematic deviations from standard Fermi-liquid behavior have been widely observed and documented in several classes of strongly correlated metals. For many of these systems, mounting evidence is emerging that the anomalous behavior is most likely triggered by the interplay of quenched disorder and strong electronic correlations. In this review, we present a broad overview of such disorder-driven non-Fermi-liquid behavior, and discuss various examples where the anomalies have been studied in detail. We describe both their phenomenological aspects as observed in experiment, and the current theoretical scenarios that attempt to unravel their microscopic origin.

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Thermodynamics of strongly disordered spin ladders

Cited by 12 publications

References 34 publications

Large moment formation and thermodynamic properties of disordered spin ladders with site dilution

Large moment formation and thermodynamic properties of disordered spin ladders with site dilution

Strong disorder RG approach of random systems

Disorder-driven non-Fermi liquid behaviour of correlated electrons

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