Holographic Lieb lattice and gapping its Dirac band
arXiv:2205.12540 · doi:10.1007/JHEP02(2023)084
Abstract
We first point out that the Laia-Tong model realizes the Lieb lattice in the holographic setup. It generates a flat band of sharp particle spectrum together with a Dirac band of unparticle spectrum. We then construct a model which opens a gap to the Dirac band so that one can realize a well-separated flat band, which can play the role of the hydrogen atom of strongly correlated systems. We then study the phase transition between the gapped and gapless phases analytically. We also made methodological progress to find a few other quantizations and we express the Green functions in any quantization in terms of that in the standard quantization.
arXiv commentarXiv admin note: text overlap with arXiv:2012.04279 by other authors
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