Renormalization Group Limit Cycle for Three-Stranded DNA
arXiv:1208.3359 · doi:10.1103/PhysRevLett.110.028105
Abstract
We show that there exists an Efimov-like three strand DNA bound state at the duplex melting point and it is described by a renormalization group limit cycle. A nonperturbative RG is used to obtain this result in a model involving short range pairing only. Our results suggest that Efimov physics can be tested in polymeric systems.
To Appear in PRL
References in corpus (12)
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Chiral tunneling and the Klein paradox in graphene
- Universality in Few-body Systems with Large Scattering Length
- The Cosmological Kibble Mechanism in the Laboratory: String Formation in Liquid Crystals
- The Three-Boson System with Short-Range Interactions
- Observation of an Efimov-like resonance in ultracold atom-dimer scattering
- Limit cycles in quantum theories
- Observing Correlated Production of Defects-Antidefects in Liquid Crystals
- When a DNA Triple helix melts: An analog of the Efimov state
- Reunion of random walkers with a long range interaction: applications to polymers and quantum mechanics
- Efimov effect of triple-stranded DNA: Real-space renormalization group and Zeros of the partition function
Cited by in corpus (14)
- Observation of the Efimov state of the helium trimer
- Onset of the Limit Cycle and Universal Three-Body Parameter in Efimov Physics
- Formation of classical crystals of dipolar particles in a helical geometry
- Melting behavior and different bound states in three-stranded DNA models
- Efimov like phase of a three stranded DNA (Efimov-DNA) and the renormalization group limit cycle
- Topological origin of universal few-body clusters in Efimov physics
- PT-Symmetry Breaking Transitions in Polymeric Systems
- Rigidity of Melting DNA
- Bubble-bound state of triple-stranded DNA: Efimov Physics in DNA with repulsion
- Universal Efimov Scaling in the Rabi-Coupled Few-Body Spectrum
- Three-body renormalization group limit cycles based on unsupervised feature learning
- DNA Unzipping Transition
- Efimov-DNA Phase diagram: three stranded DNA on a cubic lattice
- The fractal geometry and the mapping of Efimov states to Bloch states