Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session S45: Computational Methods for Statistical Mechanics: Advances and Applications II
11:15 AM–2:03 PM,
Thursday, March 5, 2020
Sponsoring Units: DCOMP GSNP
Chair: Nathan Clisby, Swinburne Univ of Tech
Abstract: S45.00012 : Superfluidity and dimensional cross-over in Quasi-1D systems*
We consider a 3D array of one-dimensional repulsive bosons. If the bosons are hard-core they can model the electron-pairs in e.g. a quasi-1D USC such as the Bechgaard and Fabre salts.
Static Mean-Field (SMF) combined with Density Matrix Renormalization Group (DMRG) reduces the full 3D model to a self-consistently treated 1D one, enabling calculation of ground and thermal equilibrium states. This approach is motivated by the low cost of such an implementation and further allows the simulation of real-time/frequency dynamics.
This model exhibits a phase transition from a 3D superfluid (SF) to a 1D Mott insulator (MI) that forms the basis of the more complex behavior in the USCs. Interestingly, the order parameters indicating the different phases suggest a mix between first- and second-order transitions.
Reference: A. F. Ho et al. Phys. Rev. Let. (2004). 92(13), 130405
G. Karakonstantakis et al. Phys. Rev. B (2011), 83(5), 054508
*This work is supported by the ERC Starting Grant from the European Union's 2020 research and innovation programme under grant agreement No. 758935.
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