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物性研究

Localization-delocalization transition in Interacting One-Dimensional Fermion Systems: (International Symposium on Nonlinear Transport and Related Phenomena in Inorganic Quasi One Dimensional Conductors) -- (Localization and Superconductivity in lD Conductors)

H. Fukuyama

Published Jan 1, 1984• 0 citations
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Related papers

25. Localization-Delocalization Transition by Interactions in One Dimensional Fermion Systems(Theories,III. One Dimensional Systems)

Yoshikazu Suzumura, Hidetoshi Fukuyama

この論文は国立情報学研究所の電子図書館事業により電子化されました。

物性研究•Jul 20, 1983•0 citations

Localization-Delocalization Transition by Interactions in One-Dimensional Fermion Systems (アンダ-ソン局在の総合的研究(昭和57年度文部省科学研究費研究会報告))

Yoshikazu Suzumura, Hidetoshi Fukuyama

物性研究•Jul 20, 1983•0 citations

Decoherence of interacting electrons in disordered conductors: on the relation between influence functional and diagrammatic approaches (Proceedings of the International Conference on Quantum Transport and Quantum Coherence(Localisation 2002))

Jan von Delft

Journal of the Physical Society of Japan•Jan 1, 2003•1 citation

Localization-delocalization transition in interacting one-dimensional fermion systems(LOCALIZATION AND SUPERCONDUCTIVITY IN ID CONDUCTORS, International Symposium on NONLINEAR TRANSPORT AND RELATED PHENOMENA IN INORGANIC QUASI ONE DIMENSIONAL CONDUCTORS)

H. Fukuyama

Electrons in one-dimensional disordered systems exhibit Anderson localization in the absence of mutual interactions. However the transition is possible between localized and delocalized state as the interaction is turned on. In this paper such interplay between Anderson localization and interactions has been examined for spin dependent Tomonaga model based on the phase Hamiltonian derived by the bosonization of the fermion field. The problem is the extention of the classical impurity pinning of the charge density wave to that of quantum systems with phase variables of not only charge but also spin. The critical value of the interaction constant has been derived by the use of selfconsistent-harmonic approximation to the nonlinearity.

物性研究•Jan 20, 1984•0 citations

Disorder and robustness of superconductivity on the quasi-one-dimensional flat-band Creutz lattice

Si Min Chan, Benoît Grémaud, G. G. Batrouni

We study the interplay between on-site disorder and fermion pairing on the quasi-one-dimensional flat-band Creutz lattice. Both disorder and flat bands localize particles, but an attractive interaction results in pair formation and delocalization giving rise to superconductivity. In this work, we examine the attractive Hubbard model on the Creutz lattice to study the competition between these two effects and elucidate the properties of the superconducting phase and the localization quantum phase transition as the disorder strength is increased. Our main result is that flat-band superconductivity is robust against disorder: The critical disorder strength ${W}_{c}$ required to localize the fermion pairs and destroy superconductivity is finite at any interaction strength $U$ and is proportional to the superconducting weight ${D}_{s}$ of the clean system. Using large-scale density matrix renormalization group computations, we show that this transition is of the Berezinskii-Kosterlitz-Thouless form. In addition, even at very small interaction strength, the localization is not due to single-fermion localization but to pair localization. For completeness, we briefly study this disorder-induced localization with mean field theory and show that ${W}_{c}$ can be accurately determined by using an appropriate scaling function.

arXiv:2506.07095•Physical review. B./Physical review. B•Aug 19, 2025•2 citations

Surface Criticality and Multifractality at Localization Transitions

Arvind Rasi Subramaniam, Ilya A. Gruzberg, A. W. W. Ludwig +3 more

We develop the concept of surface multifractality for localization-delocalization (LD) transitions in disordered electronic systems. We point out that the critical behavior of various observables related to wave functions near a boundary at a LD transition is different from that in the bulk. We illustrate this point with a calculation of boundary critical and multifractal behavior at the 2D spin quantum Hall transition and in a 2D metal at scales below the localization length.

arXiv:cond-mat/0512040•Physical Review Letters•Mar 27, 2006•54 citations
Electrons in one-dimensional disordered systems exhibit Anderson localization in the absence of mutual interactions. However the transition is possible between localized and delocalized state as the interaction is turned on. In this paper such interplay between Anderson localization and interactions has been examined for spin dependent Tomonaga model based on the phase Hamiltonian derived by the bosonization of the fermion field. The problem is the extention of the classical impurity pinning of the charge density wave to that of quantum systems with phase variables of not only charge but also spin. The critical value of the interaction constant has been derived by the use of selfconsistent-harmonic approximation to the nonlinearity.
We study the interplay between on-site disorder and fermion pairing on the quasi-one-dimensional flat-band Creutz lattice. Both disorder and flat bands localize particles, but an attractive interaction results in pair formation and delocalization giving rise to superconductivity. In this work, we examine the attractive Hubbard model on the Creutz lattice to study the competition between these two effects and elucidate the properties of the superconducting phase and the localization quantum phase transition as the disorder strength is increased. Our main result is that flat-band superconductivity is robust against disorder: The critical disorder strength Wc{W}_{c}Wc​ required to localize the fermion pairs and destroy superconductivity is finite at any interaction strength UUU and is proportional to the superconducting weight Ds{D}_{s}Ds​ of the clean system. Using large-scale density matrix renormalization group computations, we show that this transition is of the Berezinskii-Kosterlitz-Thouless form. In addition, even at very small interaction strength, the localization is not due to single-fermion localization but to pair localization. For completeness, we briefly study this disorder-induced localization with mean field theory and show that Wc{W}_{c}Wc​ can be accurately determined by using an appropriate scaling function.