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The combination of superconductivity and quantum Hall (QH) effect is regarded as a key milestone in advancing topological quantum computation in solid-state systems. Recent quantum interference studies suggest that QH edge states can…

We investigate the ground state competition at the transition from the spin unpolarized to spin ordered phase at filling factor $\nu=2/3$ in single layer heterostructure and at $\nu=2$ in double layer quantum well. To trace the quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. T. Dolgopolov , E. V. Deviatov , V. S. Khrapai , D. Reuter , A. D. Wieck , A. Wixforth , K. L. Campman , A. C. Gossard

Fundamental insight into the nature of the quantum phase transition from a superconductor to an insulator in two dimensions, or from one plateau to the next or to an insulator in quantum Hall effect, has been revealed through the study of…

Mesoscale and Nanoscale Physics · Physics 2016-09-16 Cui-Zu Chang , Weiwei Zhao , Jian Li , J. K. Jain , Chaoxing Liu , Jagadeesh. S. Moodera , Moses H. W. Chan

The cross-over from quasi-two- to quasi-one-dimensional electron transport subject to transverse electric fields and perpendicular magnetic fields are studied in the diffusive to quasiballistic and zero-field to quantum Hall regime.…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Olivio Chiatti , Johannes Boy , Christian Heyn , Wolfgang Hansen , Saskia F. Fischer

We study quantum quench in a holographic model of a zero temperature insulator-superfluid transition. The model is a modification of that of arXiv:0911.0962 and involves a self-coupled complex scalar field, Einstein gravity with a negative…

High Energy Physics - Theory · Physics 2015-06-12 Pallab Basu , Diptarka Das , Sumit R. Das , Tatsuma Nishioka

We present a new theoretical approach for the integer quantum Hall effect, which is able to describe the inter-plateau transitions as well as the transition to the Hall insulator. We find two regimes (metallic and insulator like) of the top…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. Oswald , G. Span , F. Kuchar

We propose a characterization of zero temperature phases in disordered superconductors on the basis of the nature of quasiparticle transport. In three dimensional systems, there are two distinct phases in close analogy to the distinction…

Superconductivity · Physics 2009-10-31 S. Vishveshwara , T. Senthil , Matthew P. A. Fisher

A quantum phase transition is a dramatic event marked by large spatial and temporal fluctuations, where one phase of matter with its ground state and tower of excitations reorganizes into a completely different phase. We provide new insight…

Superconductivity · Physics 2014-04-11 Mason Swanson , Yen Lee Loh , Mohit Randeria , Nandini Trivedi

The discovery of quasicrystals with crystallographically forbidden rotational symmetries has changed the notion of the ordering in materials, yet little is known about the dynamical emergence of such exotic forms of order. Here we…

Quantum Gases · Physics 2019-11-27 Farokh Mivehvar , Helmut Ritsch , Francesco Piazza

Quantum spin Hall insulators, recently realized in HgTe/(Hg,Cd)Te quantum wells, support topologically protected, linearly dispersing edge states with spin-momentum locking. A local magnetic exchange field can open a gap for the edge…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Carsten Timm

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Shou-Cheng Zhang

We develop an analytical theory for generic disorder-driven quantum phase transitions. We apply this formalism to the superconductor-insulator transition and we briefly discuss the applications to the order-disorder transition in quantum…

Superconductivity · Physics 2013-05-29 M. V. Feigel'man , L. B. Ioffe , M. Mézard

Two-terminal conductance quantization in the context of quantum Hall (QH) physics is intimately related to the current carried by a discrete number of chiral edge modes. Upon pinching off a QH bar, one may engineer setups where some modes…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Sourav Manna , Ankur Das , Yuval Gefen , Moshe Goldstein

Disorder and electron-electron interaction play essential roles in the physics of electron systems in condensed matter. In two-dimensional, quantum Hall systems, extensive studies of disorder-induced localization have led to the emergence…

Mesoscale and Nanoscale Physics · Physics 2023-06-08 P. T. Madathil , K. A. Villegas Rosales , C. T. Tai , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

At strong magnetic fields double-layer two-dimensional-electron-gas systems can form an unusual broken symmetry state with spontaneous inter-layer phase coherence. The system can be mapped to an equivalent system of pseudospin $1/2$…

Condensed Matter · Physics 2009-10-28 Kun Yang , K. Moon , Lotfi Belkhir , H. Mori , S. M. Girvin , A. H. MacDonald , L. Zheng , D. Yoshioka

The prospect of coupling a two-dimensional (2D) semiconductor heterostructure to a superconductor opens new research and technology opportunities, including fundamental problems in mesoscopic superconductivity, scalable superconducting…

We study the nature of the zero-temperature phase transition between a d-wave superconductor and a Mott insulator in two dimensions. In this ``quantum confinement transition'', spin and charge are confined to form the electron in the Mott…

Strongly Correlated Electrons · Physics 2009-10-31 C. Lannert , Matthew P. A. Fisher , T. Senthil

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. L. Kane , E. J. Mele

Magnetic-field-induced phase transitions were studied with a two-dimensional electron AlGaAs/GaAs system. The temperature-driven flow diagram shows the features of the $\Gamma$(2) modular symmetry, which includes distorted flowlines and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. F. Huang , Y. H. Chang , H. H. Cheng , Z. P. Yang , H. D. Yeh , C. H. Hsu , C. -T. Liang , D. R. Hang , H. H. Lin

Magneto-transport measurements are performed on two-dimensional GaAs electron systems to probe the quantum Hall (QH) effect at low magnetic fields. Oscillations following the Shubnikov-de Haas (SdH) formula are observed in the transition…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 Shun-Tsung Lo , Yi-Ting Wang , G Bohra , E Comfort , T-Y Lin , M-G Kang , G Strasser , J P Bird , C F Huang , Li-Hung Lin , J C Chen , C-T Liang