Efimov effect of triple-stranded DNA: Real-space renormalization group and Zeros of the partition function

Abstract

We study the melting of three-stranded DNA by using the real-space renormalization group and exact recursion relations. The prediction of an unusual Efimov-analog three-chain bound state, that appears at the critical melting of two-chain DNA, is corroborated by the zeros of the partition function. The distribution of the zeros has been studied in detail for various situations. We show that the Efimov DNA can occur even if the three-chain (i. e., three-monomer) interaction is repulsive in nature. In higher dimensions, a striking result that emerged in this repulsive zone is a continuous transition from the critical state to the Efimov DNA.

10 pages, 12 pdf figures

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Cited by in corpus (7)

• Renormalization Group Limit Cycle for Three-Stranded DNA
• Efimov like phase of a three stranded DNA (Efimov-DNA) and the renormalization group limit cycle
• Melting behavior and different bound states in three-stranded DNA models
• Rigidity of Melting DNA
• Bubble-bound state of triple-stranded DNA: Efimov Physics in DNA with repulsion
• Zeros of partition function for Continuous Phase Transitions using cumulants
• Efimov-DNA Phase diagram: three stranded DNA on a cubic lattice