Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics Conference Series

Stability of the moving Bose glass phase at finite temperature

Yaouen Fily, E Olive, Jean-Claude Soret

Published Mar 1, 2009• 0 citations
Publisher

Abstract

We present 3D numerical simulation results for driven vortex lattices in presence of weak random columnar disorder at finite temperature and high driving force. A moving Bose glass phase is expected theoretically, characterized by a flow along rough static channels and dynamical transverse Meissner effect, the moving flux lines being localized along the correlated disorder direction. We find the moving Bose glass phase to be stable in a large range of temperature and velocity. Moreover, we confirm the existence of an effective static pinning potential in the tranverse direction, previously observed in zero temperature simulations, and leading to a "kink" structure of the vortex lines beyond a critical transverse field.

DOI
10.1088/1742-6596/150/5/052054

Related papers

Numerical Simulation Evidence of Dynamical Transverse Meissner Effect and Moving Bose Glass Phase

E Olive, Jean-Claude Soret, Pierre Le Doussal +1 more

We present 3D numerical simulation results of moving vortex lattices in the presence of 1D correlated disorder at zero temperature. Our results with field tilting confirm the theoretical predictions of a moving Bose glass phase, characterized by transverse pinning and dynamical transverse Meissner effect, the moving flux lines being localized along the correlated disorder direction. Beyond a critical transverse field, vortex lines exhibit along all their length a "kink" structure resulting from an effective static "tin roof" pinning potential in the transverse direction.

arXiv:cond-mat/0301471•Physical Review Letters•Jul 18, 2003•21 citations

Competition between columnar pins and vortex screening: A doubly reentrant phase diagram

Ajay Nandgaonkar, D. G. Kanhere, Nandini Trivedi

We study the phase diagram of flux lines in superconductors with columnar pins. Based on numerical exact diagonalization simulations on small clusters, we get two phases of vortices: A low-temperature pinned glass with diverging tilt modulus and a high-temperature delocalized entangled vortex liquid. For random potential disorder we find a new phase transition temperature ${T}_{\mathrm{BG}}$ from a pinned Bose glass to an entangled liquid that reduces with increasing vortex density. This occurs primarily because vortices screen the disorder potential and generate an effective weaker random potential with increasing vortex density. For a fixed fraction of randomly placed attractive columnar pins, we find a Mott-insulating phase when the vortex density exactly matches the density of pins at the matching field ${B=B}_{\ensuremath{\varphi}}.$ We also find a transition from a strongly pinned Bose glass for $B<{B}_{\ensuremath{\varphi}}$ to a weakly pinned Bose glass for $B>{B}_{\ensuremath{\varphi}}$ as the vortex density is varied.

arXiv:cond-mat/0111361•Physical review. B, Condensed matter•Sep 30, 2002•6 citations

Vortex Glass Transition in a Random Pinning Model

Anders Vestergren, Jack Lidmar, Mats Wallin

We study the vortex glass transition in disordered high temperature superconductors using Monte Carlo simulations. We use a random pinning model with strong point-correlated quenched disorder, a net applied magnetic field, long-range vortex interactions, and periodic boundary conditions. From a finite size scaling study of the helicity modulus, the rms current, and the resistivity, we obtain critical exponents at the phase transition. The new exponents differ substantially from those of the gauge glass model, but are close to those of the pure three-dimensional XY model.

arXiv:cond-mat/0111216•Physical Review Letters•Mar 5, 2002•24 citations

One-dimensional bosons, the Luther-Emery condition, and phase transitions in low-dimensional systems

Eugene B. Kolomeisky

We analyze finite-temperature classical phase transitions that a two-dimensional collection of directed line objects placed in various external potentials may undergo. We find the conditions for a spin-glass-like transition in a disordered material and show that the collection of flux lines in dirty two-dimensional superconductors always stays in a vortex-glass phase. In addition, we resolve some of the controversies on the subject existing in the literature. We also look at a related problem of zero-temperature quantum phase transitions that a one-dimensional many-body system placed in various external potentials may undergo. In particular we predict that short-range repulsive bosons with sufficiently strong interaction will be pinned by a single impurity while translational symmetry is not broken for weakly repulsive particles; there is a phase transition between the indicated regimes. Taking into account the effects of commensurability, we construct the phase diagram for the conductive properties of a one-dimensional quantum liquid in the presence of a single impurity.

Physical review. B, Condensed matter•Feb 1, 1995•1 citation

Vortex plastic flow, local flux density, magnetization hysteresis loops, and critical current, deep in the Bose-glass and Mott-insulator regimes

Cynthia J. O. Reichhardt, Cynthia J. Olson, Jennifer Groth +2 more

We present simulations of flux-gradient-driven superconducting vortices interacting with strong columnar pinning defects as an external field $H(t)$ is quasistatically swept from zero through a matching field ${B}_{\ensuremath{\varphi}}$. We analyze several measurable quantities, including the local flux density $B(x, y, H(t))$, magnetization $M(H(t))$, critical current ${J}_{c}(B(t))$, and the individual vortex flow paths. We find a significant change in the behavior of these quantities as the local flux density crosses ${B}_{\ensuremath{\varphi}}$, and quantify it for many microscopic pinning parameters. Further, we find that for a given pin density ${J}_{c}(B)$ can be enhanced by maximizing the distance between the pins for $B<{B}_{\ensuremath{\varphi}}$.

arXiv:supr-con/9602001•Physical review. B, Condensed matter•Apr 1, 1996•112 citations

From Order to Disorder in High Temperature Superconductors

Anders Vestergren

Phase transitions in a number of models related to hightemperature superconductors are investigated, using scalingmethods and Monte Carlo simulations. This thesis considers twomain topics. The first topic is phase transitions, phase diagrams, andvortex motion in high temperature superconductors at finitetemperature, subject to magnetic fields and disorder. We studya vortex glass model at finite temperature, with stronguncorrelated vortex pinning and a magnetic field. We find thatthe vortex glass exists at finite temperature and calculate thecritical exponents of the transition. We also investigate hightemperature superconductors with columnar disorder in zero andapplied magnetic fields. Some of these studies are alsorelevant for the superfluid to Mott insulator transition ofbosons in two dimensions. We find that the unscreened Boseglass transition belongs to a new universality class. Wecalculate the critical exponents of the superconductingtransition with columnar defects in zero applied magneticfield. The transverse Meissner transition is studied, and wefind an exotic universality class with a correlation volumethat is infinitely anisotropic in all directions. The second topic is confinement-deconfinement transitions incompact Abelian Higgs models. We develop a new order parameter,related to a large Wilson loop for fractionalized charges, anduse it to study the concept of topological order. Thesetransitions may be relevant for strongly correlated electronsin two dimensions.

•Jan 1, 2004•0 citations
We present 3D numerical simulation results for driven vortex lattices in presence of weak random columnar disorder at finite temperature and high driving force. A moving Bose glass phase is expected theoretically, characterized by a flow along rough static channels and dynamical transverse Meissner effect, the moving flux lines being localized along the correlated disorder direction. We find the moving Bose glass phase to be stable in a large range of temperature and velocity. Moreover, we confirm the existence of an effective static pinning potential in the tranverse direction, previously observed in zero temperature simulations, and leading to a "kink" structure of the vortex lines beyond a critical transverse field.
We present 3D numerical simulation results of moving vortex lattices in the presence of 1D correlated disorder at zero temperature. Our results with field tilting confirm the theoretical predictions of a moving Bose glass phase, characterized by transverse pinning and dynamical transverse Meissner effect, the moving flux lines being localized along the correlated disorder direction. Beyond a critical transverse field, vortex lines exhibit along all their length a "kink" structure resulting from an effective static "tin roof" pinning potential in the transverse direction.
We study the phase diagram of flux lines in superconductors with columnar pins. Based on numerical exact diagonalization simulations on small clusters, we get two phases of vortices: A low-temperature pinned glass with diverging tilt modulus and a high-temperature delocalized entangled vortex liquid. For random potential disorder we find a new phase transition temperature TBG{T}_{\mathrm{BG}}TBG​ from a pinned Bose glass to an entangled liquid that reduces with increasing vortex density. This occurs primarily because vortices screen the disorder potential and generate an effective weaker random potential with increasing vortex density. For a fixed fraction of randomly placed attractive columnar pins, we find a Mott-insulating phase when the vortex density exactly matches the density of pins at the matching field ${B=B}_{\ensuremath{\varphi}}.$ We also find a transition from a strongly pinned Bose glass for $B<{B}_{\ensuremath{\varphi}}$ to a weakly pinned Bose glass for $B>{B}_{\ensuremath{\varphi}}$ as the vortex density is varied.
We study the vortex glass transition in disordered high temperature superconductors using Monte Carlo simulations. We use a random pinning model with strong point-correlated quenched disorder, a net applied magnetic field, long-range vortex interactions, and periodic boundary conditions. From a finite size scaling study of the helicity modulus, the rms current, and the resistivity, we obtain critical exponents at the phase transition. The new exponents differ substantially from those of the gauge glass model, but are close to those of the pure three-dimensional XY model.
We analyze finite-temperature classical phase transitions that a two-dimensional collection of directed line objects placed in various external potentials may undergo. We find the conditions for a spin-glass-like transition in a disordered material and show that the collection of flux lines in dirty two-dimensional superconductors always stays in a vortex-glass phase. In addition, we resolve some of the controversies on the subject existing in the literature. We also look at a related problem of zero-temperature quantum phase transitions that a one-dimensional many-body system placed in various external potentials may undergo. In particular we predict that short-range repulsive bosons with sufficiently strong interaction will be pinned by a single impurity while translational symmetry is not broken for weakly repulsive particles; there is a phase transition between the indicated regimes. Taking into account the effects of commensurability, we construct the phase diagram for the conductive properties of a one-dimensional quantum liquid in the presence of a single impurity.
We present simulations of flux-gradient-driven superconducting vortices interacting with strong columnar pinning defects as an external field H(t)H(t)H(t) is quasistatically swept from zero through a matching field ${B}_{\ensuremath{\varphi}}$. We analyze several measurable quantities, including the local flux density B(x,y,H(t))B(x, y, H(t))B(x,y,H(t)), magnetization M(H(t))M(H(t))M(H(t)), critical current Jc(B(t)){J}_{c}(B(t))Jc​(B(t)), and the individual vortex flow paths. We find a significant change in the behavior of these quantities as the local flux density crosses ${B}_{\ensuremath{\varphi}}$, and quantify it for many microscopic pinning parameters. Further, we find that for a given pin density Jc(B){J}_{c}(B)Jc​(B) can be enhanced by maximizing the distance between the pins for $B<{B}_{\ensuremath{\varphi}}$.
Phase transitions in a number of models related to hightemperature superconductors are investigated, using scalingmethods and Monte Carlo simulations. This thesis considers twomain topics. The first topic is phase transitions, phase diagrams, andvortex motion in high temperature superconductors at finitetemperature, subject to magnetic fields and disorder. We studya vortex glass model at finite temperature, with stronguncorrelated vortex pinning and a magnetic field. We find thatthe vortex glass exists at finite temperature and calculate thecritical exponents of the transition. We also investigate hightemperature superconductors with columnar disorder in zero andapplied magnetic fields. Some of these studies are alsorelevant for the superfluid to Mott insulator transition ofbosons in two dimensions. We find that the unscreened Boseglass transition belongs to a new universality class. Wecalculate the critical exponents of the superconductingtransition with columnar defects in zero applied magneticfield. The transverse Meissner transition is studied, and wefind an exotic universality class with a correlation volumethat is infinitely anisotropic in all directions. The second topic is confinement-deconfinement transitions incompact Abelian Higgs models. We develop a new order parameter,related to a large Wilson loop for fractionalized charges, anduse it to study the concept of topological order. Thesetransitions may be relevant for strongly correlated electronsin two dimensions.