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• W2971305299 abstract "Driven periodic elastic systems such as charge-density waves (CDWs) pinned by impurities show a nontrivial, glassy dynamical critical behavior. Their proper theoretical description requires the functional renormalization group. We show that their critical behavior close to the depinning transition is related to a much simpler model, $O(n)$ symmetric ${ensuremath{phi}}^{4}$ theory in the unusual limit of $nensuremath{rightarrow}ensuremath{-}2$. We demonstrate that both theories yield identical results to four-loop order and give both a perturbative and a nonperturbative proof of their equivalence. As we show, both theories can be used to describe loop-erased random walks (LERWs), the trace of a random walk where loops are erased as soon as they are formed. Remarkably, two famous models of non-self-intersecting random walks, self-avoiding walks and LERWs, can both be mapped onto ${ensuremath{phi}}^{4}$ theory, taken with formally $n=0$ and $nensuremath{rightarrow}ensuremath{-}2$ components. This mapping allows us to compute the dynamic critical exponent of CDWs at the depinning transition and the fractal dimension of LERWs in $d=3$ with unprecedented accuracy, $z(d=3)=1.6243ifmmodepmelsetextpmfi{}0.001$, in excellent agreement with the estimate $z=1.62400ifmmodepmelsetextpmfi{}0.00005$ of numerical simulations." @default.
• W2971305299 created "2019-09-05" @default.
• W2971305299 creator A5053535696 @default.
• W2971305299 creator A5081109030 @default.
• W2971305299 date "2019-11-04" @default.
• W2971305299 modified "2023-10-06" @default.
• W2971305299 title "Depinning Transition of Charge-Density Waves: Mapping onto <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>O</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math> Symmetric <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msup><mml:mi>ϕ</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math> Theory with <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow…" @default.
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• W2971305299 doi "https://doi.org/10.1103/physrevlett.123.197601" @default.
• W2971305299 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/31765182" @default.
• W2971305299 hasPublicationYear "2019" @default.
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