The topology of non-Hermitian systems is drastically shaped by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence and non-Bloch band theory. The essential part in formulations of bulk-boundary correspondence is a general and computable definition of topological invariants. In this Letter, we introduce a construction of non-Hermitian topological invariants based directly on real-space wave functions, which provides a general and straightforward approach for determining non-Hermitian topology. As an illustration, we apply this formulation to several representative models of non-Hermitian systems, efficiently obtaining their topological invariants in the presence of non-Hermitian skin effect. Our formulation also provides a dual picture of the non-Bloch band theory based on the generalized Brillouin zone, offering a unique perspective of bulk-boundary correspondence.
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Kawabata, Kohei
;
Shiozaki, Ken
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Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Shiozaki, Ken
;
Ueda, Masahito
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Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
RIKEN, CEMS, Wako, Saitama 3510198, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Ueda, Masahito
;
Sato, Masatoshi
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Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Kawabata, Kohei
;
Higashikawa, Sho
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Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Higashikawa, Sho
;
Gong, Zongping
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Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Gong, Zongping
;
Ashida, Yuto
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Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Ashida, Yuto
;
Ueda, Masahito
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机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
CEMS, RIKEN, Wako, Saitama 3510198, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Kawabata, Kohei
;
Ashida, Yuto
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h-index: 0
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Ashida, Yuto
;
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Katsura, Hosho
;
Ueda, Masahito
论文数: 0引用数: 0
h-index: 0
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
RIKEN Ctr Emergent Matter Sci CEMS, Wako, Saitama 3510198, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Kawabata, Kohei
;
Shiozaki, Ken
论文数: 0引用数: 0
h-index: 0
机构:
Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Shiozaki, Ken
;
Ueda, Masahito
论文数: 0引用数: 0
h-index: 0
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
RIKEN, CEMS, Wako, Saitama 3510198, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Ueda, Masahito
;
Sato, Masatoshi
论文数: 0引用数: 0
h-index: 0
机构:
Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Kawabata, Kohei
;
Higashikawa, Sho
论文数: 0引用数: 0
h-index: 0
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Higashikawa, Sho
;
Gong, Zongping
论文数: 0引用数: 0
h-index: 0
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Gong, Zongping
;
Ashida, Yuto
论文数: 0引用数: 0
h-index: 0
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Ashida, Yuto
;
Ueda, Masahito
论文数: 0引用数: 0
h-index: 0
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
CEMS, RIKEN, Wako, Saitama 3510198, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Kawabata, Kohei
;
Ashida, Yuto
论文数: 0引用数: 0
h-index: 0
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
Ashida, Yuto
;
论文数: 引用数:
h-index:
机构:
Katsura, Hosho
;
Ueda, Masahito
论文数: 0引用数: 0
h-index: 0
机构:
Univ Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan
RIKEN Ctr Emergent Matter Sci CEMS, Wako, Saitama 3510198, JapanUniv Tokyo, Dept Phys, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1130033, Japan