Glaukome bei primären Irisveränderungen

Ninios, K.; Jonescu-Cuypers, Christian P.; Seitz, Berthold

doi:10.1007/s00347-011-2372-3

Cited by 11 publications

(4 citation statements)

References 15 publications

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“…Here K s is the Luttinger parameter. A similar relation was recently found in spin ladder compounds and Fermi gases [11,36,37,39]. Thus the Wilson ratio elegantly quantifies the TLL regardless of the microscopic details of the underlying quantum system.…”

supporting

confidence: 77%

Quantum criticality of spinons

Jiang

et al. 2017

Phys. Rev. B

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The free fermion nature of interacting spins in one dimensional (1D) spin chains still lacks a rigorous study. In this letter we show that the length-1 spin strings significantly dominate critical properties of spinons, magnons and free fermions in the 1D antiferromagnetic spin-1/2 chain. Using the Bethe ansatz solution we analytically calculate exact scaling functions of thermal and magnetic properties of the model, providing a rigorous understanding of the quantum criticality of spinons. It turns out that the double peaks in specific heat elegantly mark two crossover temperatures fanning out from the critical point, indicating three quantum phases: the Tomonaga-Luttinger liquid (TLL), quantum critical and fully polarized ferromagnetic phases. For the TLL phase, the Wilson ratio RW = 4Ks remains almost temperature-independent, here Ks is the Luttinger parameter. Furthermore, applying our results we precisely determine the quantum scalings and critical exponents of all magnetic properties in the ideal 1D spin-1/2 antiferromagnet Cu(C4H4N2)(NO3)2 recently studied in Phys. Rev. Lett. 114, 037202 (2015)]. We further find that the magnetization peak used in experiments is not a good quantity to map out the finite temperature TLL phase boundary. Of central importance to the study of the 1D spin-1/2 antiferromagnetic Heisenberg chain is the understanding of spin excitations [1,[3][4][5][6][7][8][9][10][11][12][13]. Elementary spin excitations in this model may exhibit quasi-particle behaviour which is described by spinons carrying half a unit of spin. Such fractional quasiparticles are responsible for the TLL in the model [10,14,15].Regarding to the Bethe ansatz solution of the 1D spin-1/2 chain, a significant development is Takahashi's discovery of spin string patterns [2], i.e., magnon bound states with different string lengths. Takahashi's spin strings give one full access to the thermodynamics of the model through Yang and Yang's grand canonical approach [18], namely the so-called thermodynamic Bethe ansatz (TBA) equations [2]. However, the problems of how such spin strings determine the free fermion nature of spinons and how spin strings comprise universal scalings of thermal and magnetic properties still lack a rigorous understanding. In this paper we present a full answer to these questions.Using spin string solutions to the TBA equations, we obtain the following results: I) we obtain exact scaling functions, critical exponents and a benchmark of quantum magnetism for the 1D spin-1/2 Heisenberg chain, revealing the microscopic origin of the quasiparticle spinons, free fermions and magnons that emerge in different physical regimes; II) We find that the Wilson ratio [19,20], the ratio between the susceptibility χ and the specific heat c v divided by the temperature T ,πkB gµB 2 χ/(c v /T ), significantly characterises the TLL of spinons and marks the crossover temperature between the quantum critical phase and the TLL [21], see Fig. 1. When the magnetic field is larger than the saturation field, dilute magnon beh...

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supporting

confidence: 77%

Quantum criticality of spinons

Jiang

et al. 2017

Phys. Rev. B

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“…Hierbei handelt es sich um einen Überbegriff für verschiedene Anomalien und Syndrome der gleichen Entwicklungsstörung, die einer autosomal-dominanten Vererbung folgen und ein 50-bis 60 %iges Lebenszeitrisiko für die Entwicklung eines Glaukoms besitzen. Die Prävalenz der ARS liegt bei 1 : 200 000 [4]. Als verursachende Gene wurden bisher FOXC1, PITX2 und CYP1B1 sowie 2 weitere Genorte (13q14 und 16q24), bei denen die verantwortlichen Gene noch nicht bekannt sind, identifiziert.…”

Section: Axenfeld-rieger-syndrome (Ars)unclassified

Klassifikation, Genetik und Epidemiologie der Glaukome

Hohn¹,

Pfeiffer²

2017

Augenheilkunde up2date

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“…Congenital causes include for example Axenfeld-Rieger syndromes, ICE syndromes or congenital aniridia. 1 Here, iris malformations are often associated with systemic diseases and malformation of the entire eye. 1 For those affected, increased sensitivity to light and glare depending on the size of the defect may decrease visual perception and can lead to reduction of quality of life.…”

Section: Introductionmentioning

confidence: 99%

“…1 Here, iris malformations are often associated with systemic diseases and malformation of the entire eye. 1 For those affected, increased sensitivity to light and glare depending on the size of the defect may decrease visual perception and can lead to reduction of quality of life. Furthermore, patients suffer from cosmetic disturbance due to the absence of iris and pupil.…”

Section: Introductionmentioning

confidence: 99%

Postoperative results after iris reconstruction with an Artificialiris^® implant with consideration of the cause of the iris defects

Riedl

Pfeffer

Giers

et al. 2023

European Journal of Ophthalmology

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Purpose To test the hypothesis that severely damaged eyes are more likely to experience postoperative complications after an ArtificialIris® (AI) implantation than other iris defects. Methods Patients after iris reconstruction with an AI were included in this consecutive case series of the Department of Ophthalmology, University of Mainz, Germany. Best-corrected visual acuity (BCVA), objective refraction (KR 8900 Topcon, Tokyo, Japan) and Scheimpflug imaging of the anterior segment with Pentacam® (Oculus, Wetzlar, Germany)and postoperative complications were evaluated. Results Thirty-two eyes of 32 patients after AI implantation were included, separated in partial or total aniridia in a closed globe (group 1, n = 16) and after perforating globe injury (group 2, n = 16). Two or more previous surgeries in the corresponding eye were found in two patients (12.5%) in group 1 and eleven patients (69%) in group 2 (p = 0.001). The time span between initial trauma or iris defect and AI implantation was not significantly related to the occurrence and severity of postoperative complications ( p = 0.89). Postoperative complications were classified into mild and severe and showed no differences between group 1 and group 2 (mild: 1 vs. 0; p = 0.52; severe: 5 vs. 6 p = 0.8). Conclusion AI implantation is a treatment option for various iris defects. An individual, case-based decision should be made with strict indication also considering other possible methods for pupil reconstruction. The postoperative outcome is not affected by the time point of AI implantation. So, an implantation is already possible as early as six weeks after the previous trauma.

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Glaukome bei primären Irisveränderungen

Cited by 11 publications

References 15 publications

Quantum criticality of spinons

Quantum criticality of spinons

Klassifikation, Genetik und Epidemiologie der Glaukome

Postoperative results after iris reconstruction with an Artificialiris^® implant with consideration of the cause of the iris defects

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Glaukome bei primären Irisveränderungen

Cited by 11 publications

References 15 publications

Quantum criticality of spinons

Quantum criticality of spinons

Klassifikation, Genetik und Epidemiologie der Glaukome

Postoperative results after iris reconstruction with an Artificialiris® implant with consideration of the cause of the iris defects

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Product

Resources

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Postoperative results after iris reconstruction with an Artificialiris^® implant with consideration of the cause of the iris defects