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While the role of local interactions in nonequilibrium phase transitions is well studied, a fundamental understanding of the effects of long-range interactions is lacking. We study the critical dynamics of reproducing agents subject to…

The quantum critical behavior and the Griffiths-McCoy singularities of random quantum Ising ferromagnets are studied by applying a numerical implementation of the Ma-Dasgupta-Hu renormalization group scheme. We check the procedure for the…

无序系统与神经网络 · 物理学 2009-10-31 Y. -C. Lin , N. Kawashima , F. Igloi , H. Rieger

We study non-interacting systems with a power-law quasiparticle dispersion $\xi_{\bf k}\propto k^\alpha$ and a random short-range-correlated potential. We show that, unlike the case of lower dimensions, for $d>2\alpha$ there exists a…

介观与纳米尺度物理 · 物理学 2015-06-23 S. V. Syzranov , V. Gurarie , L. Radzihovsky

Nonrelativistic two-body scattering by a short-ranged potential is studied using the renormalisation group. Two fixed points are identified: a trivial one and one describing systems with a bound state at zero energy. The eigenvalues of the…

高能物理 - 唯象学 · 物理学 2009-10-31 Michael C. Birse , Judith A. McGovern , Keith G. Richardson

We perform an exact renormalization-group analysis of one-dimensional 4-state clock models with complex interactions. Our aim is to provide a simple explicit illustration of the behavior of the renormalization-group flow in a system…

高能物理 - 理论 · 物理学 2009-10-22 M. Asorey , J. G. Esteve , R. Fernandez J. Salas

Critical behaviour of a nearly critical system, subjected to vivid turbulent mixing, is studied by means of the field theoretic renormalization group. Namely, relaxational stochastic dynamics of a non-conserved order parameter of the…

统计力学 · 物理学 2015-03-20 N. V. Antonov , A. S. Kapustin

We consider the NN interaction in pionless effective field theory (EFT) up to next-to-next-to-leading order (NNLO) and use a recursive subtractive renormalization scheme to describe NN scattering in the 1S0 channel. We fix the strengths of…

核理论 · 物理学 2011-05-27 V. S. Timoteo , S. Szpigel , F. O. Duraes

The description of the electromagnetic interaction in two-dimensional Dirac materials, such as graphene and transition-metal dichalcogenides, in which electrons move in the plane and interact via virtual photons in 3d, leads naturally to…

高能物理 - 理论 · 物理学 2021-05-26 Luis Fernández , Van Sérgio Alves , M. Gomes , Leandro O. Nascimento , Francisco Peña

We study the renormalization group flow in general quantum field theories with quenched disorder, focusing on random quantum critical points. We show that in disorder-averaged correlation functions the flow mixes local and non-local…

强关联电子 · 物理学 2018-08-22 Vladimir Narovlansky , Ofer Aharony

We investigate the scaling of the bipartite entanglement entropy across Lifshitz quantum phase transitions, where the topology of the Fermi surface changes without any changes in symmetry. We present both numerical and analytical results…

强关联电子 · 物理学 2013-03-26 Marlon Rodney , H. Francis Song , Sung-Sik Lee , Karyn Le Hur , Erik Sorensen

We aim to understand how the spectrum of semi-Dirac fermions is renormalized due to long-range Coulomb electron-electron interactions at a topological Lifshitz transition, where two Dirac cones merge. At the transition, the electronic…

介观与纳米尺度物理 · 物理学 2021-01-07 Valeri N. Kotov , Bruno Uchoa , Oleg P. Sushkov

We study the surface critical behavior of semi-infinite systems belonging to the bulk universality class of the Ising model. Special attention is paid to the local behavior of experimentally relevant quantities such as the order parameter…

凝聚态物理 · 物理学 2009-10-28 A. Ciach , U. Ritschel

The phase diagram of the one-dimensional extended Hubbard model at half-filling is investigated by a weak coupling renormalization group method applicable beyond the usual continuum limit for the electron spectrum and coupling constants. We…

强关联电子 · 物理学 2011-04-04 M. Ménard , C. Bourbonnais

We study electron correlation effects on quantum criticalities of Lifshitz transitions at zero temperature, using the mean-field theory based on a preexisting symmetry-broken order, in two-dimensional systems. In the presence of…

强关联电子 · 物理学 2007-05-23 Youhei Yamaji , Takahiro Misawa , Masatoshi Imada

The nonperturbative renormalization group has been considered as a solid framework to investigate fixed point and critical exponents for matrix and tensor models, expected to correspond with the so-called double scaling limit. In this…

高能物理 - 理论 · 物理学 2023-04-18 Vincent Lahoche , Dine Ousmane Samary

We comment on a recent letter by L. C. de Albuquerque and M. M. Leite (J. Phys. A: Math. Gen. 34 (2001) L327-L332), in which results to second order in $\epsilon=4-d+\frac{m}{2}$ were presented for the critical exponents…

统计力学 · 物理学 2009-11-07 H. W. Diehl , M. Shpot

The renormalization group functions are calculated in $D=4-\epsilon$ dimensions for the $\phi^4$-theory with two coupling constants associated with an ${O}(N)$-symmetric and a cubic interaction. Divergences are removed by minimal…

凝聚态物理 · 物理学 2009-10-28 H. Kleinert , V. Schulte-Frohlinde

Renormalization group methods are used to determine the evolution of the low energy Wilson effective action for supersymmetric nonlinear sigma models in four dimensions. For the case of supersymmetric $CP^{(N-1)}$ models, the K\"ahler…

高能物理 - 理论 · 物理学 2009-10-30 T. E. Clark , S. T. Love

The perturbative approach to the description of long wavelength excitations at high temperature breaks down near the critical point of a second order phase transition. We study the \emph{dynamics} of these excitations in a relativistic…

高能物理 - 唯象学 · 物理学 2016-09-06 D. Boyanovsky , H. J. de Vega

Models of reaction diffusion processes usually employ discrete lattice models with particles interacting at the same site, resulting in localized reactions in the continuum limit. Here, various non-local interactions are considered, and two…

数学物理 · 物理学 2026-03-30 Chris D Greenman