Combinatorics of the double-dimer model
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.107952
Abstract: We prove that the partition function for tripartite double-dimer configurations of a planar bipartite graph satisfies a recurrence related to the Desnanot-Jacobi identity from linear algebra. A similar identity for the dimer partition function was… read more here.
Keywords: dimer model; double dimer; combinatorics double; theory ... See more keywords
Analysis of a Functional Dimer Model of Ubiquinol Cytochrome c Oxidoreductase
Sign Up to like & getrecommendations! Published in 2017 at "Biophysical Journal"
DOI: 10.1016/j.bpj.2017.08.018
Abstract: Ubiquinol cytochrome c oxidoreductase (bc1 complex) serves as an important electron junction in many respiratory systems. It funnels electrons coming from NADH and ubiquinol to cytochrome c, but it is also capable of producing significant… read more here.
Keywords: ubiquinol cytochrome; functional dimer; model; dimer model ... See more keywords
Optimization of the Linker Length in the Dimer Model of E22P-Aβ40 Tethered at Position 38.
Sign Up to like & getrecommendations! Published in 2022 at "ACS chemical neuroscience"
DOI: 10.1021/acschemneuro.2c00436
Abstract: Since amyloid β (Aβ) oligomers are more cytotoxic than fibrils, various dimer models have been synthesized. We focused on the C-terminal region that could form a hydrophobic core in the aggregation process and identified a… read more here.
Keywords: e22p; cytotoxicity; dimer; linker ... See more keywords
Yang–Baxter integrable dimers on a strip
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ab54bd
Abstract: The dimer model on a strip is considered as a Yang-Baxter \mbox{integrable} six vertex model at the free-fermion point with crossing parameter $\lambda=\tfrac{\pi}{2}$ and quantum group invariant boundary conditions. A one-to-many mapping of vertex onto… read more here.
Keywords: dimer model; integrable dimers; baxter integrable; yang baxter ... See more keywords
Exact solution and correlations of a dimer model on the checkerboard lattice
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.102.020401
Abstract: We present analytic results for a special dimer model on the {\em non-bipartite} and {\em non-planar} checkerboard lattice that does not allow for parallel dimers surrounding diagonal links. We {\em exactly} calculate the number of… read more here.
Keywords: model; checkerboard lattice; dimer model; exact solution ... See more keywords
Vison condensation and spinon confinement in a kagome-lattice Z2 spin liquid: A numerical study of a quantum dimer model
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review B"
DOI: 10.1103/physrevb.110.014426
Abstract: Quantum spin liquids are exotic many-body states featured with long-range entanglement and fractional anyon quasiparticles. Quantum phase transitions of spin liquids are particularly interesting problems related with novel phenomena of anyon condensation and anyon confinement.… read more here.
Keywords: spin liquid; condensation; vison condensation; dimer model ... See more keywords
Synchronization transition in the double dimer model on the cubic lattice
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.99.144403
Abstract: We study the classical cubic-lattice double dimer model, consisting of two coupled replicas of the close-packed dimer model, using a combination of theoretical arguments and Monte Carlo simulations. Our results establish the presence of a… read more here.
Keywords: dimer model; model; synchronization; double dimer ... See more keywords
Topological sectors, dimer correlations, and monomers from the transfer-matrix solution of the dimer model.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.104.014145
Abstract: We solve the classical square-lattice dimer model with periodic boundaries and in the presence of a field t that couples to the (vector) flux, by diagonalizing a modified version of Lieb's transfer matrix. After deriving… read more here.
Keywords: transfer matrix; dimer model; sectors dimer; topological sectors ... See more keywords
Entropies of the Classical Dimer Model
Sign Up to like & getrecommendations! Published in 2025 at "Entropy"
DOI: 10.3390/e27070693
Abstract: Biological processes often involve the attachment and detachment of extended molecules to substrates. Here, the classical dimer model is used to investigate these geometric effects on the free energy, which governs both the equilibrium state… read more here.
Keywords: classical dimer; dimer model; model; entropies classical ... See more keywords