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The temperature dependance of the action in the thin-wall and thick-wall limits is obtained analytically for the $\phi^6$ scalar potential. The nature of the phase transition is investigated from the quantum tunnelling regime at low…

High Energy Physics - Theory · Physics 2009-11-13 Hatem Widyan

We study the variable-range hopping (VRH) of bosons in an array of sites with short-range interactions and a large characteristic coordination number. The latter leads to strong quantum interference phenomena yet allows for their analytical…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 S. V. Syzranov , A. Moor , K. B. Efetov

The existence of a static lengthscale that grows in accordance with the dramatic slowing down observed at the glass transition is a subject of intense interest. A recent publication compared two proposals for this length scale, one based on…

Statistical Mechanics · Physics 2017-06-27 Ricardo Gutiérrez , Smarajit Karmakar , Yoav G. Pollack , Itamar Procaccia

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the…

Strongly Correlated Electrons · Physics 2024-10-11 Börge Göbel , Ingrid Mertig

The universal anomalous diffusion scaling is obtained for the semiclassical quantum Hall transition, which has been argued to describe samples with dissipation or correlated impurities. The results explain a discrepancy between existing…

Condensed Matter · Physics 2009-11-07 Joel E. Moore

An interaction of non-uniform plane elastic modes of the waveguide type with monolayer and double-layer quantum Hall systems is considered. It is shown, that unlike the case of the surface acoustic wave propagation, the restriction on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. V. Fil

Aging dynamics in glassy systems is investigated by considering the hopping motion in a rugged energy landscape whose deep minima are characterized by an exponential density of states. In particular we explore the behavior of a generic…

Statistical Mechanics · Physics 2009-11-07 Bernd Rinn , Philipp Maass , Jean-Philippe Bouchaud

Using analytical arguments and computer simulations we show that the dependence of the hopping carrier mobility on the electric field $\mu(F)/\mu(0)$ in a system of random sites is determined by the localization length $a$, and not by the…

Mesoscale and Nanoscale Physics · Physics 2017-07-25 A. V. Nenashev , J. O. Oelerich , A. V. Dvurechenskii , F. Gebhard , S. D. Baranovskii

We have studied the temperature dependence of resistivity, $\rho$, for a two-dimensional electron system in silicon at low electron densities, $n_s\sim10^{11}$ cm$^{-2}$, near the metal/insulator transition. The resistivity was empirically…

Condensed Matter · Physics 2007-05-23 S. V. Kravchenko , Whitney E. Mason , G. E. Bowker , J. E. Furneaux , V. M. Pudalov , M. D'Iorio

Electrical transport measurements are used to study the Rh-doped NaFeAs superconductor series with a focus on the tetragonal phase. The resistivity curvature has an anomalous temperature dependence evidencing in the phase diagram two…

The temporal evolution of quantal Joule heating of 2D electrons in GaAs quantum well placed in quantizing magnetic fields is studied using a difference frequency method. The method is based on measurements of the electron conductivity…

Mesoscale and Nanoscale Physics · Physics 2014-10-13 Scott Dietrich , William Mayer , Sergey Vitkalov , A. A. Bykov

Plateau-plateau (P-P) and insulator-quantum Hall conductor (I-QH) transitions are observed in the two-dimensional electron system in an AlGaAs/GaAs heterostructure. At high fields, the critical conductivities are not of the expected…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. F. Huang , Y. H. Chang , H. H. Cheng , C. -T. Liang , G. J. Hwang

Motivated by recent experiments on electric transport through single molecules and quantum dots, we investigate a model for transport that allows for significant coupling between the electrons and a boson mode isolated on the molecule or…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Urban Lundin , Ross H. McKenzie

Topological states of matter are characterized by topological invariant, which are physical quantities whose values are quantized and do not depend on details of the measured system. Of these, the easiest to probe in experiments is the…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Mitali Banerjee , Moty Heiblum , Vladimir Umansky , Dima E. Feldman , Yuval Oreg , Ady Stern

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

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 analyze the thermoelectric cooling properties of a Corbino device in the quantum Hall regime on the basis of experimental data of electrical conductance. We focus on the cooling power and the coefficient of performance within and beyond…

We present a model of dissipative transport in the fractional quantum Hall regime. Our model takes account of tunneling through saddle points in the effective potential for excitations created by impurities. We predict the temperature range…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 N. d'Ambrumenil , B. I. Halperin , R. H. Morf

We study the quantum Hall effect(QHE) on the Kagom\'{e} lattice with anisotropy in one of the hopping integrals. We find a new type of QHE characterized by the quantization rules for Hall conductivity $\sigma_{xy}=2ne^{2}/h$ and Landau…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Shun-Li Yu , Jian-Xin Li , Li Sheng

Motivated by the recent numerical studies on the Chalker-Coddington network model that found a larger-than-expected critical exponent of the localization length characterizing the integer quantum Hall plateau transitions, we revisited the…

Disordered Systems and Neural Networks · Physics 2019-02-06 Qiong Zhu , Peng Wu , R. N. Bhatt , Xin Wan