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In one dimension, particles can not bypass each other. As a consequence, the mean-squared displacement (MSD) in equilibrium shows sub-diffusion ${\rm MSD}(t)\sim t^{1/2}$, instead of normal diffusion ${\rm MSD}(t)\sim t$. This phenomenon is…

Statistical Mechanics · Physics 2024-10-02 Harukuni Ikeda

Using results of Goldstone and Jaffe, we discuss the possibility of a low temperature instability of vortex tubes to a `folded' state, driven by the coupling to the normal electron states inside the cores. The basic mechanism is that a…

Condensed Matter · Physics 2007-05-23 J. P. Bouchaud

Scanning tunnelling microscopy and low energy electron diffraction show a dimerization-like reconstruction in the one-dimensional atomic chains on Bi(114) at low temperatures. While one-dimensional systems are generally unstable against…

Perturbation theory is an indispensable tool in quantum mechanics and electrodynamics that handles weak effects on particle motion or fields. However, its extension to plasmons involving complex motion of {\it both} particles and fields…

Mesoscale and Nanoscale Physics · Physics 2019-05-21 Aleksandr S. Petrov , Dmitry Svintsov

One-dimensional (1D) metallic mirror-twin boundaries (MTBs) in monolayer transition metal dichalcogenides (TMDCs) exhibit a periodic charge modulation and provide an ideal platform for exploring collective electron behavior in the confined…

Materials Science · Physics 2020-07-21 Li Wang , Ying Wu , Yayun Yu , Aixi Chen , Huifang Li , Wei Ren , Shuai Lu , Sunan Ding , Hui Yang , Qi-Kun Xue , Fang-Sen Li , Guang Wang

We show that adsorption of one lithium atom to a polyacenes, i.e. chains of linearly fused benzene rings, will cause this chain to be slightly deformed. If we adsorb a second identical atom on the opposite side of the same ring, this…

Chemical Physics · Physics 2016-02-24 Yenni P. Ortiz , Thomas H. Seligman

We report that a dielectric polymer chain, constrained at both ends, sharply collapses when exposed to a high electric field. The chain collapse is driven by nonlocal dipolar interactions and anisotropic polarization of monomers, a…

Soft Condensed Matter · Physics 2025-09-03 Pratik Khandagale , Gal deBotton , Timothy Breitzman , Carmel Majidi , Kaushik Dayal

We consider a quantum many-body model describing a system of electrons interacting with themselves and hopping from one ion to another of a one dimensional lattice. We show that the ground state energy of such system, as a functional of the…

Strongly Correlated Electrons · Physics 2007-05-23 Vieri Mastropietro

The mechanical properties of a solid, which relate its deformation to external applied forces, are key factors in enabling or disabling the use of an otherwise optimal material in any application, strongly influencing also its service…

Materials Science · Physics 2025-08-28 Margherita Marsili , Elisa Damiani , Davide Dalle Ave , Gabriele Losi , M. Clelia Righi

Density functional theory with local density approximation for exchange and correlation functional is used to tune the electronic band structure of silicene monolayer. The cohesive energy of free standing monolayer is increasing…

Materials Science · Physics 2015-06-17 Gul Rahman

In microfluidic devices, inertia drives particles to focus on a finite number of inertial focusing streamlines. Particles on the same streamline interact to form one-dimensional microfluidic crystals (or "particle trains"). Here we develop…

Fluid Dynamics · Physics 2018-09-12 Kaitlyn Hood , Marcus Roper

We have studied polyacene within the Hubbard model to explore the effect of electron correlations on the Peierls' instability in a system marginally away from one-dimension. We employ the projector quantum Monte Carlo method to obtain…

Strongly Correlated Electrons · Physics 2009-10-30 Bhargavi Srinivasan , S. Ramasesha

Amorphous solids increase their stress as a function of an applied strain until a mechanical yield point whereupon the stress cannot increase anymore, afterwards exhibiting a steady state with a constant mean stress. In stress controlled…

Disordered Systems and Neural Networks · Physics 2017-06-07 Giorgio Parisi , Itamar Procaccia , Corrado Rainone , Murari Singh

The understanding of lattice instabilities is of vast importance in material science. The famous example is the Peierls instability of one-dimensional metals and for strongly-nested Fermi surfaces in two and three dimensions. Through an…

Other Condensed Matter · Physics 2022-08-12 Nassim Derriche , Ilya Elfimov , George Sawatzky

We have studied Peierls instability in an atomically thin wire of sodium atoms using first-principles density-functional methods. A Na wire has a stable uniform linear structure over a range of inter-atomic distances. At smaller…

Materials Science · Physics 2009-11-11 Prasenjit Sen

Distortions are ubiquitous in nature. Under perturbations such as stresses, fields, or other changes, a physical system reconfigures by following a path from one state to another; this path, often a collection of atomic trajectories,…

Materials Science · Physics 2015-12-09 Brian K. VanLeeuwen , Venkatraman Gopalan

Because the three-leg ladder behaves like a renormalized single Heisenberg chain we argue that a spin-Peierls instability must occur in this system when it is coupled to three-dimensional phonons. Using the bond-mean-field theory, we show…

Strongly Correlated Electrons · Physics 2009-11-13 Mohamed Azzouz , Khalada Shahin , Gennady Y. Chitov

The theory of the dislocation motion in the periodic potential relief of the crystal lattice (the Peierls-Nabarro barriers) is reviewed. On the basis of the kink mechanism the temperature dependence of the flow stress is described for a…

Pattern Formation and Solitons · Physics 2007-05-23 B. V. Petukhov

We show that off-diagonal nearest neighbor disorder in quasi-one-dimensional single particle tight-binding coupled chains leads to anomalies in the density of states and in the mean conductance, that can be interpreted as due to specific…

Disordered Systems and Neural Networks · Physics 2007-05-23 L. Alloatti , G. Grosso

We performed density functional theory and tight-binding molecular dynamics calculations to investigate the formation of suspended linear atom chains when stretching gold nanowires along the [110] crystal orientation. We determined that…

Materials Science · Physics 2007-05-23 F. Tavazza , A. Hasmy , L. E. Levine , A. M. Chaka , L. Rincon , M. Marquez , C. Gonzalez