Strong-coupling perturbation theory for the two-dimensional Bose-Hubbard model in a magnetic field
M. Niemeyer, J. K. Freericks, H. Monien
Abstract
The Bose-Hubbard model in an external magnetic field is investigated with strong-coupling perturbation theory. The lowest-order secular equation leads to the problem of a charged particle moving on a lattice in the presence of a magnetic field, which was first treated by Hofstadter. We present phase diagrams for the two-dimensional square and triangular lattices, showing a change in shape of the phase lobes away from the well-known power-law behavior in zero magnetic field. Some qualitative agreement with experimental work on Josephson-junction arrays is found for the insulating phase behavior at small fields.
Create a lesson
Related papers
Metallogenic quantum criticality: Fermi surface nucleation at transitions between gapped phases
Zhengyan Darius Shi
Exact Stiffness and Dynamical Responses from Fock-Space Fragmentation
Jonah Herzog-Arbeitman, Eslam Khalaf, Zhaoyu Han
A continuous confinement-deconfinement transition in a triangular quantum magnet
Suguru Hosoi, Sejun Park, Michihiro Hirata et al.
Multi-orbital physics in inverse Lieb lattice altermagnets
Mercè Roig, Jannik Gondolf, Andreas Kreisel et al.
3D- (H-theta-phi) magnetic phase diagram of antiferromagnetic metal GdB6 with electron and lattice instability
A. N. Azarevich, A. V. Bogach, T. F. Garipova et al.
Interlayer-engineering of Charge Order Wave Vector in Kagome Metals
Muntafa M. Mahi, Quazi D. M. Khosru, M. Zahid Hasan et al.