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Electronic structures of a diagonally striped lattice: Multiple (N-1) -fold degenerate flat bands

Journal Article · · Physical Review. B
 [1];  [2];  [3]
  1. Univ. of Utah, Salt Lake City, UT (United States); OSTI
  2. Georgia Inst. of Technology, Atlanta, GA (United States)
  3. Univ. of Utah, Salt Lake City, UT (United States)
+ Show Author Affiliations
We investigate the electronic structure of an interesting two-dimensional (2D) diagonally striped lattice (DSL). It consists of arrays of N different types of “atoms” or “molecules” with a fixed sequence in both horizontal and vertical directions. Using a tight-binding model, we show that the DSL (N>2) has the symmetry group Amm2 and Pmm2, and exhibits an oscillatory metallic and insulating phases for the odd- and even- N number, respectively. Some conventional 2D lattices, such as the Lieb lattice, can be related to the derivative DSL via vacancy formation by removing one type of atom in every other (N-1) row of the original DSL. Interestingly, there are multiple (N-1)-fold degenerate flat bands in one group of the derivative DSLs, which affords a unique platform for studying many-body physics. In addition to atomic and molecular lattices, we suggest other artificial DSLs, such as photonic and phononic, to be also constructed with possibly interesting properties.
Research Organization:
Univ. of Utah, Salt Lake City, UT (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-04ER46148
OSTI ID:
1849536
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 23 Vol. 102; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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