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arXiv:1612.03098 · Physical review. B./Physical review. B

Quantum and thermal melting of stripe forming systems with competing long-range interactions

Alejandro Mendoza-Coto, Daniel Gustavo Barci, Daniel A. Stariolo

Published Apr 26, 2017• 19 citations
arXivHTMLPDF

Abstract

We study the quantum melting of stripe phases in models with competing short-range and long-range interactions decaying with distance as $1/{r}^{\ensuremath{\sigma}}$ in two space dimensions. At zero temperature we find a two step disordering of the stripe phases with the growth of quantum fluctuations. A quantum critical point separating a phase with long-range positional order from a phase with long-range orientational order is found when $\ensuremath{\sigma}\ensuremath{\le}4/3$, which includes the Coulomb interaction case $\ensuremath{\sigma}=1$. For $\ensuremath{\sigma}>4/3$ the transition is first order, which includes the dipolar case $\ensuremath{\sigma}=3$. Another quantum critical point separates the orientationally ordered (nematic) phase from a quantum disordered phase for any value of $\ensuremath{\sigma}$. Critical exponents as a function of $\ensuremath{\sigma}$ are computed at one loop order in an $\ensuremath{\epsilon}$ expansion and, whenever available, compared with known results. For finite temperatures it is found that for $\ensuremath{\sigma}\ensuremath{\ge}2$ orientational order decays algebraically with distance until a critical Kosterlitz-Thouless line. Nevertheless, for $\ensuremath{\sigma}<2$ it is found that long-range orientational order can exist at finite temperatures until a critical line which terminates at the quantum critical point at $T=0$. The temperature dependence of the critical line near the quantum critical point is determined as a function of $\ensuremath{\sigma}$.

DOI
10.1103/physrevb.95.144209

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