Next-nearest and next-next-nearest hopping in a 4D Dirac model yield second Chern numbers -6 and -7 that the minimal model cannot produce.
Topolog- ical Electromagnetic Effects and Higher Second Chern Num- bers in Four-Dimensional Gapped Phases
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High second Chern number induced by long-range hopping in a four-dimensional Dirac model
Next-nearest and next-next-nearest hopping in a 4D Dirac model yield second Chern numbers -6 and -7 that the minimal model cannot produce.