Phases and phase transitions in disordered quantum systems

Vojta, Thomas

doi:10.1063/1.4818403

Cited by 53 publications

(37 citation statements)

References 107 publications

(259 reference statements)

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“…The fundamental arguments leading to Harris criterion are based on the following observations, see for instance 48 : We consider a system at some temperature T close to the critical temperature T c of the ordered bulk. We then divide the space into correlated blocks of the size of the correlation length ξ(T ).…”

Section: Introductionmentioning

confidence: 99%

Random network models with variable disorder of geometry

2019

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Recently it was shown (I. A. Gruzberg, A. Klümper, W. Nuding and A. Sedrakyan, Phys. Rev. B 95, 125414 (2017)) that taking into account random positions of scattering nodes in the network model with U (1) phase disorder yields a localization length exponent 2.37 ± 0.011 for plateau transitions in the integer quantum Hall effect. This is in striking agreement with the experimental value of 2.38 ± 0.06. Randomness of the network was modeled by replacing standard scattering nodes of a regular network by pure tunneling resp. reflection with probability p where the particular value p = 1/3 was chosen. Here we investigate the role played by the strength of the geometric disorder, i.e. the value of p. We consider random networks with arbitrary probability 0 < p < 1/2 for extreme cases and show the presence of a line of critical points with varying localization length indices having a minimum located at p = 1/3.

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Section: Introductionmentioning

confidence: 99%

Random network models with variable disorder of geometry

2019

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“…It may be noted that defects can appear naturally in physical systems and can also be artificially engineered [13]. Interesting phenomena obtained in disordered systems include those in [14].…”

Section: Introductionmentioning

confidence: 99%

Beating no-go theorems by engineering defects in quantum spin models

Sadhukhan¹,

Roy²,

Rakshit³

et al. 2015

New J. Phys.

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Keywords: disordered quantum systems, quantum dense coding, bell inequality, No-go theorems in quantum mechanics, multiparty communication networks, monogamy in quantum mechanics Abstract Diverse no-go theorems exist, ranging from no-cloning to monogamies of quantum correlations and Bell inequality violations, which restrict the processing of information in the quantum world. In a multipartite scenario, monogamy of Bell inequality violation and the exclusion principle of dense coding are such theorems which impede the ability of the system to have quantum advantage between all its parts. In ordered spin systems, the twin restrictions of translation invariance and monogamy of quantum correlations, in general, enforce the bipartite states to be neither Bell inequality violating nor dense codeable. We show that it is possible to conquer these constraints imposed by quantum mechanics in ordered systems by introducing quenched impurities in the system while still retaining translation invariance at the physically relevant level of disorder-averaged observables.

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“…Until now, the Griffith scenario has been realized near the infinite randomness fixed point [23], where extreme inhomogeneity and associated rare phenomena are responsible for NFL physics with varying critical exponents. In our case we believe that a similar situation occurs, where fluctuations between metallic and insulating islands as rare events are expected to allow the MottAnderson-Griffith phase, responsible for the NFL physics.…”

Section: Methodsmentioning

confidence: 99%

Emergence of non-Fermi liquid behaviors in 5d perovskite SrIrO3 thin films: Interplay between correlation, disorder, and spin-orbit coupling

Biswas

Kim

Jeong

2016

Journal of Magnetism and Magnetic Materials

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We investigate the effects of compressive strain on the electrical resistivity of 5d iridium based perovskite SrIrO 3 by depositing epitaxial films of thickness 35 nm on various substrates such as GdScO 3 (110), DyScO 3 (110), and SrTiO 3 (001). Surprisingly, we find anomalous transport behaviors as expressed by ρ ∝ T ε in the temperature dependent resistivity, where the temperature exponent ε evolves continuously from 4/5 to 1 and to 3/2 with an increase of compressive strain. Furthermore, magnetoresistance always remains positive irrespective of resistivity upturns at low temperatures. These observations imply that the delicate interplay between correlation and disorder in the presence of strong spin-orbit coupling is responsible for the emergence of the non-Fermi liquid behaviors in 5d perovskite SrIrO 3 thin films. We offer a theoretical framework for the interpretation of the experimental results. Highlights •We studied the effect of compressive strain on the perovskite SrIrO 3 thin films.• We revealed non-Fermi liquid behaviors in the transport properties.• Irrespective of weak localization effects, magnetoresistance remains positive.• We interpret the anomalous transport properties as arising from the interplay between correlation, disorder, and spin-orbit coupling.

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Phases and phase transitions in disordered quantum systems

Cited by 53 publications

References 107 publications

Random network models with variable disorder of geometry

Random network models with variable disorder of geometry

Beating no-go theorems by engineering defects in quantum spin models

Emergence of non-Fermi liquid behaviors in 5d perovskite SrIrO3 thin films: Interplay between correlation, disorder, and spin-orbit coupling

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