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Related papers: The crumpling transition of membranes driven by qu…

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The phase diagram of an incompressible fluid membrane subject to quantum and thermal fluctuations is calculated exactly in a large number of dimensions of configuration space. At zero temperature, a crumpling transition is found at a…

Condensed Matter · Physics 2009-10-31 M. E. S. Borelli , H. Kleinert

The effect of quantum fluctuations on a nearly flat, nonrelativistic two-dimensional membrane with extrinsic curvature stiffness and tension is investigated. The renormalization group analysis is carried out in first-order perturbative…

Condensed Matter · Physics 2009-10-31 M. E. S. Borelli , H. Kleinert , Adriaan M. J. Schakel

We investigate the effects of quenched elastic disorder on the nature of the crumpling-to-flat transition of $D$-dimensional polymerized membranes using a two-loop computation near the upper critical dimension $D_c=4$. While the pure system…

Disordered Systems and Neural Networks · Physics 2024-11-08 L. Delzescaux , D. Mouhanna , M. Tissier

We explore a roughening phase transition that occurs in the entanglement dynamics of certain quantum circuits. Viewing entanglement as the free energy of a membrane in a circuit-defined random environment, there is a competition between…

Quantum Physics · Physics 2025-12-23 Hyunsoo Ha , David A. Huse , Grace M. Sommers

We found that the order for the crumpling transition of an intrinsic curvature model changes depending on the distance between two boundary vertices fixed on the surface of spherical topology. The model is a curvature one governed by an…

Statistical Mechanics · Physics 2007-05-23 H. Koibuchi

Polymerized phantom membranes are revisited using a nonperturbative renormalization group approach. This allows one to investigate both the crumpling transition and the low-temperature, flat, phase in any internal dimension D and embedding…

Statistical Mechanics · Physics 2009-11-13 J. -P. Kownacki , D. Mouhanna

The crumpled-to-flat phase transition that occurs in D-dimensional polymerized phantom membranes embedded in a d-dimensional space is investigated nonperturbatively using a field expansion up to order eight in powers of the order parameter.…

Statistical Mechanics · Physics 2014-04-11 K. Essafi , J. -P. Kownacki , D. Mouhanna

We investigate the thermodynamical properties of quantum fields in curved spacetime. Our approach is to consider quantum fields in curved spacetime as a quantum system undergoing an out-of-equilibrium transformation. The non-equilibrium…

Quantum Physics · Physics 2016-01-14 Nana Liu , John Goold , Ivette Fuentes , Vlatko Vedral , Kavan Modi , David Edward Bruschi

We investigate effects of quantum (zero-temperature) long wavelength fluctuations of free standing crystalline membranes, that are two-dimensional objects embedded into three-dimensional space. The fluctuations produce logarithmic…

Statistical Mechanics · Physics 2015-06-18 E. I. Kats , V. V. Lebedev

Two dimensional crystalline membranes in isotropic embedding space exhibit a flat phase with anomalous elasticity, relevant e.g., for graphene. Here we study their thermal fluctuations in the absence of exact rotational invariance in the…

Statistical Mechanics · Physics 2021-07-07 Pierre Le Doussal , Leo Radzihovsky

Motivated by recent experiments on biomimetic membranes exposed to several aqueous phases, we theoretically study the morphology of a membrane in contact with a liquid droplet formed via aqueous phase separation. We concentrate on membranes…

Soft Condensed Matter · Physics 2012-02-07 Halim Kusumaatmaja , Reinhard Lipowsky

The contribution from quantum vacuum fluctuations of a real massless scalar field to the motion of a test particle that interacts with the field in the presence of a perfectly reflecting flat boundary is here investigated. There is no…

High Energy Physics - Theory · Physics 2018-08-03 G. H. Camargo , V. A. De Lorenci , C. C. H. Ribeiro , F. F. Rodrigues , M. M. Silva

When a quantum many-particle system exists on a randomly diluted lattice, its intrinsic thermal and quantum fluctuations coexist with geometric fluctuations due to percolation. In this paper, we explore how the interplay of these…

Statistical Mechanics · Physics 2017-08-23 Thomas Vojta , J. A. Hoyos

We investigate the properties of crystalline phantom membranes, at the crumpling transition and in the flat phase, using a nonperturbative renormalization group approach. We avoid a derivative expansion of the effective average action and…

Statistical Mechanics · Physics 2011-04-01 N. Hasselmann , F. L. Braghin

Ideal crystalline membranes, realized by graphene and other atomic monolayers, exhibit rich physics - a universal anomalous elasticity of the critical "flat" phase characterized by a negative Poisson ratio, universally singular elastic…

Statistical Mechanics · Physics 2025-02-11 Pierre Le Doussal , Leo Radzihovsky

A quantum field theory approach is applied to investigate the dynamics of flexural phonons in a metallic membrane like graphene, looking for the effects deriving from the strong interaction between the electronic excitations and elastic…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 J. Gonzalez

A comprehensive theory of the quantum phase transition in clean, itinerant Heisenberg ferromagnets is presented. It is shown that the standard mean-field description of the transition is invalid in spatial dimensions $d\leq 3$ due to the…

Statistical Mechanics · Physics 2009-11-07 T. R. Kirkpatrick , D. Belitz

We revisit dipolar motion of condensate atoms in one-dimensional optical lattices and harmonic magnetic traps including quantum fluctuations within the truncated Wigner approximation. In the strong tunneling limit we reproduce the meanfield…

Soft Condensed Matter · Physics 2007-05-23 Anatoli Polkovnikov , Daw-Wei Wang

We revisit the universal behavior of crystalline membranes at and below the crumpling transition, which pertains to the mechanical properties of important soft and hard matter materials, such as the cytoskeleton of red blood cells or…

Statistical Mechanics · Physics 2016-02-17 R. Cuerno , R Gallardo Caballero , A. Gordillo-Guerrero , P. Monroy , J. J. Ruiz-Lorenzo

We study $D$-dimensional polymerized membranes embedded in $d$ dimensions using a self-consistent screening approximation. It is exact for large $d$ to order $1/d$, for any $d$ to order $\epsilon=4-D$ and for $d=D$. For flat physical…

Condensed Matter · Physics 2009-01-23 Pierre Le Doussal , Leo Radzihovsky
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