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We introduce a two-dimensional active nematic with quenched disorder. We write the coarse-grained hydrodynamic equations of motion for slow variables, viz. density, and orientation. Disorder strength is tuned from zero to large values.…

Soft Condensed Matter · Physics 2021-07-15 Sameer Kumar , Shradha Mishra

The scalar modes of the geometry induced by dimensional decoupling are investigated. In the context of the low energy string effective action, solutions can be found where the spatial part of the background geometry is the direct product of…

High Energy Physics - Theory · Physics 2009-11-11 Massimo Giovannini

We calculate two-point energy level correlation function in weakly disorderd metallic grain with taking account of localization corrections to the universal random matrix result. Using supersymmetric nonlinear sigma model and exactly…

Disordered Systems and Neural Networks · Physics 2009-11-07 Naohiro Mae , Shinji Iida

To sensitively test scaling in the 2D XY model quenched from high-temperatures into the ordered phase, we study the difference between measured correlations and the (scaling) results of a Gaussian-closure approximation. We also directly…

Statistical Mechanics · Physics 2009-10-31 F. Rojas , A. D. Rutenberg

We study the quenching dynamics of a many-body system in one dimension described by a Hamiltonian that has spatial periodicity. Specifically, we consider a spin-1/2 chain with equal xx and yy couplings and subject to a periodically varying…

Strongly Correlated Electrons · Physics 2015-06-03 Manisha Thakurathi , Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

We reconsider the random bond antiferromagnetic spin-1/2 chain for weak disorder and demonstrate the existence of crossover length scale x_W that diverges with decreasing strength of the disorder. Recent DMRG calculations [Phys. Rev. Lett.…

Disordered Systems and Neural Networks · Physics 2009-11-07 N. Laflorencie , H. Rieger

Non-equilibrium diffusive systems are known to exhibit long-range correlations, which decay like the inverse 1/L of the system size L in one dimension. Here, taking the example of the ABC model, we show that this size dependence becomes…

Statistical Mechanics · Physics 2015-05-30 Antoine Gerschenfeld , Bernard Derrida

We study the magnetic excitations in the spiral phase of the two--dimensional Hubbard model using a functional integral method. Spin waves are strongly renormalized and a line of near--zeros is observed in the spectrum around the spiral…

Condensed Matter · Physics 2016-08-31 C. Zhou , H. J. Schulz

We investigate the nonequilibrium phase transition in the disordered contact process in the presence of long-range spatial disorder correlations. These correlations greatly increase the probability for finding rare regions that are locally…

Statistical Mechanics · Physics 2014-10-28 Ahmed K. Ibrahim , Hatem Barghathi , Thomas Vojta

We study a 1D system with a power-law quasiparticle dispersion $\propto |k|^\alpha\sign k$ in the presence of a short-range-correlated random potential and demonstrate that for $\alpha<1/2$ it exhibits a disorder-driven quantum phase…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 M. Garttner , S. V. Syzranov , A. M. Rey , V. Gurarie , L. Radzihovsky

We study the two-dimensional Ising model on a network with a novel type of quenched topological (connectivity) disorder. We construct random lattices of constant coordination number and perform large scale Monte Carlo simulations in order…

Statistical Mechanics · Physics 2018-03-07 Manuel Schrauth , Julian A. J. Richter , Jefferson S. E. Portela

We investigate the effects of randomness in a strongly correlated electron model in one-dimension at half-filling. The ground state correlation functions are exactly written by products of 3$\times$3 transfer matrices and are evaluated…

Strongly Correlated Electrons · Physics 2009-10-28 Masanori Yamanaka , Mahito Kohmoto

Classical correlations of ground states typically decay exponentially and polynomially, respectively for gapped and gapless short-ranged quantum spin systems. In such systems, entanglement decays exponentially even at the quantum critical…

Quantum Physics · Physics 2016-01-27 Debasis Sadhukhan , Sudipto Singha Roy , Debraj Rakshit , R. Prabhu , Aditi Sen De , Ujjwal Sen

Low-dimensional, complex systems are often characterized by logarithmically slow dynamics. We study the generic motion of a labeled particle in an ensemble of identical diffusing particles with hardcore interactions in a strongly…

Motivated by the recent experimental and theoretical progresses in the exploration of the effect of disorder in interacting system, we examine the effect of two types of correlated disorder, the quasi-periodic potential and speckle disorder…

Quantum Gases · Physics 2021-02-03 Guangcun Liu

We consider one-dimensional bosonic chains with a repulsive boson-boson interaction that decays exponentially on large length-scales. This model describes transport of Cooper-pairs in a Josepshon junction array, or transport of magnetic…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Nicolas Vogt , Jared H. Cole , Alexander Shnirman

The Anderson model for independent electrons in a disordered potential is transformed analytically and exactly to a basis of random extended states leading to a variant of augmented space. In addition to the widely-accepted phase diagrams…

Strongly Correlated Electrons · Physics 2007-05-23 Nigel Goldenfeld , Roger Haydock

We study the dimer model on the square grid, with quenched random edge weights. Randomness is chosen to have a layered structure, similar to that of the celebrated McCoy-Wu disordered Ising model. Disorder has a highly non-trivial effect…

Probability · Mathematics 2025-07-17 Quentin Moulard , Fabio Toninelli

We study the effects of short-range correlated disorder arising from chemical dopants or local lattice distortions, on the ferromagnetism of 3d double exchange systems. For this, we integrate out the carriers and treat the resulting…

Strongly Correlated Electrons · Physics 2009-11-13 Georges Bouzerar , Olivier Cépas

We analyze an anisotropic spin 1/2 two legs ladder in the presence of various type of random perturbations. The generic phase diagram for the pure system, in a way similar to spin one chains, consists of four phases: an Antiferromagnet, a…

Strongly Correlated Electrons · Physics 2009-10-30 E. Orignac , T. Giamarchi
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