NRG Approach to the Transport through a Finite Hubbard Chain Connected to Reservoirs

• Oguri Akira

  Department of Material Science, Osaka City University

• Hewson A. C.

  Department of Mathematics, Imperial College

抄録

We study the low-energy properties of a Hubbard chain of finite size N_C connected to two noninteracting leads using the numerical renormalization group (NRG) method. The results obtained for N_C=3 and 4 show that the low-lying eigenstates have one-to-one correspondence with the free quasi-particle excitations of a local Fermi liquid. It enables us to determine the transport coefficients from the fixed-point Hamiltonian. At half-filling, the conductance for even N_C decreases exponentially with increasing U showing a tendency towards the development of a Mott–Hubbard gap. In contrast, for odd N_C, the Fermi-liquid nature of the low-energy states assures perfect transmission through the Kondo resonance. Our formulation to deduce the conductance from the fixed-point energy levels can be applied to various types of interacting systems.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 74 (3), 988-996, 2005

  一般社団法人 日本物理学会

キーワード

• Kondo effect
• Hubbard model
• reservoir
• Fermi liquid
• quantum dot
• numerical renormalization group

詳細情報

• CRID: 1390282679162668416
• NII論文ID: 210000105924
• NII論文ID: 110001979479
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.74.988
• BIBCODE: 2005JPSJ...74..988O
• ISSN: 13474073
• ISSN: 00319015
• NDL書誌ID: 7282723
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7282723
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.74.988
• 本文言語コード: en
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