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Motivated by relations with a symplectic invariant known as the "cylindrical symplectic capacity", in this note we study the expectation of the area of a minimal projection to a complex line for a randomly rotated cube.

Metric Geometry · Mathematics 2016-04-19 Efim D. Gluskin , Yaron Ostrover

Novel electronic systems displaying exotic physical properties can be derived from complex topological materials through chemical doping. MoTe$_2$, the candidate type-II Weyl semimetal shows dramatically enhanced superconductivity up to 4.1…

Strongly Correlated Electrons · Physics 2021-07-07 Aastha Vasdev , Suman Kamboj , Anshu Sirohi , Manasi Mandal , Sourav Marik , Ravi Prakash Singh , Goutam Sheet

This article reviews recent theoretical and experimental work on transport due to the surface states of three-dimensional topological insulators. The theoretical focus is on longitudinal transport in the presence of an electric field,…

Mesoscale and Nanoscale Physics · Physics 2012-03-29 Dimitrie Culcer

A solution to the long-standing problem of identifying the conformal field theory governing the transition between quantized Hall plateaus of a disordered noninteracting 2d electron gas, is proposed. The theory is a nonlinear sigma model…

High Energy Physics - Theory · Physics 2007-05-23 Martin R. Zirnbauer

As an empirical tool in materials science and engineering, the iconic phase diagram owes its robustness and practicality to the topological characteristics rooted in the celebrated Gibbs phase law (F = C - P + 2). When crossing the phase…

Motivated by recent experiments, we theoretically analyze the flow past an obstacle of a one-dimensional "quantum fluid of light" which is resonantly driven, and exhibits bistability. The flow is found to abruptly change several times when…

Quantum Gases · Physics 2023-02-01 Vincent Hakim , Simon Pigeon , Amandine Aftalion

Topological insulators (TIs) are newly discovered states of matter with robust metallic surface states protected by the topological properties of the bulk wavefunctions. A quantum phase transition (QPT) from a TI to a conventional insulator…

Strongly Correlated Electrons · Physics 2014-01-03 Liang Wu , M. Brahlek , R. Valdés Aguilar , A. V. Stier , C. M. Morris , Y. Lubashevsky , L. S. Bilbro , N. Bansal , S. Oh , N. P. Armitage

We analyze here the behavior near the 2D insulator-superconductor quantum critical point in the presence of a perpendicular magnetic field. We show that with increasing field $H$, the quantum disordered and quantum critical regimes, in…

Condensed Matter · Physics 2009-11-07 Denis Dalidovich , Philip Phillips

A first-order-like resistivity hysteresis is induced by a subtle structural transition under hydrostatic pressure in the topological nodal-line superconductor PbTaSe$_2$. This structure transition is quickly suppressed to zero at pressure…

Superconductivity · Physics 2017-09-06 C. Q. Xu , R. Sankar , W. Zhou , Bin Li , Z. D. Han , B. Qian , J. H. Dai , Hengbo Cui , A. F. Bangura , F. C. Chou , Xiaofeng Xu

Interactions of different types of topological defects can play an important role in the aftermath of a phase transition. We study interactions of fundamental magnetic monopoles and stable domain walls in a Grand Unified theory in which…

High Energy Physics - Theory · Physics 2015-08-12 Micah Brush , Levon Pogosian , Tanmay Vachaspati

Random field with paths given as restrictions of holomorphic functions to Euclidean space-time can be Wick-rotated by pathwise analytic continuation. Euclidean symmetries of the correlation functions then go over to relativistic symmetries.…

Mathematical Physics · Physics 2007-05-23 H. Gottschalk

Abrupt transition to turbulence may occur in pipe and channel flows at moderate flow rates, an unexpected event according to linear stability theory, and has been an open problem in fluid dynamics for more than a century. Extensive…

Fluid Dynamics · Physics 2017-10-09 Jianjun Tao , Xiangming Xiong

The spatio-temporal structure of the bulk wakefields excited by a relativistic electron bunch in plasma of semiconductors and semimetals is studied. It is shown that these wakefield consists of the field of longitudinal plasmons and…

Plasma Physics · Physics 2021-02-03 V. A. Balakirev , I. N. Onishchenko

A $2D$ model describing depinning of an interface from a rough, self-affine substrate, is studied by transfer matrix methods. The phase diagram is determined for several values of the roughness exponent, $\zeta_S$, of the attractive wall.…

Statistical Mechanics · Physics 2015-06-25 G. Giugliarelli , A. L. Stella

An analysis of axisymmetric equilibria with arbitrary incompressible flow and finite resistivity is presented. It is shown that with large aspect ratio approximation or vanishing poloidal current, a uniform conductivity profile is…

Plasma Physics · Physics 2009-11-06 M. P. Bora

Isolated patches of turbulence in transitional straight pipes are sustained by a strong instability at their upstream front, where the production of turbulent kinetic energy (TKE) is up to five times higher than in the core. Direct…

Fluid Dynamics · Physics 2019-03-14 Enrico Rinaldi , Jacopo Canton , Philipp Schlatter

Transient currents in atomically thin MoTe$_2$ field-effect transistor are measured during cycles of pulses through the gate electrode. The transients are analyzed in light of a newly proposed model for charge trapping dynamics that renders…

In the two-dimensional case the transition between ordinary and topological insulator states can be described by a massive Dirac model with the mass term changing its sign at the transition point. We theoretically investigate how such a…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 G. Tkachov , E. M. Hankiewicz

We present numerical studies of first-order and continuous filling transitions, in wedges of arbitrary opening angle $\psi$, using a microscopic fundamental measure density functional model with short-ranged fluid-fluid forces and…

Statistical Mechanics · Physics 2015-06-11 Alexandr Malijevský , Andrew O. Parry

We investigate the critical behavior of systems exhibiting a continuous absorbing phase transition in the presence of a conserved field coupled to the order parameter. The results obtained point out the existence of a new universality class…

Statistical Mechanics · Physics 2009-10-31 Michela Rossi , Romualdo Pastor-Satorras , Alessandro Vespignani