Hyperbolic Deformation on Quantum Lattice Hamiltonians(General)

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概要

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• A group of non-uniform quantum lattice Hamiltonians in one dimension is introduced, which is related to the hyperbolic (1+1)-dimensional space. The Hamiltonians contain only nearest neighbor interactions whose strength is proportional to cosh jλ, where j is the lattice index and where λ≥0 is a deformation parameter. In the limit λ→0 the Hamiltonians become uniform. Spacial translation of the deformed Hamiltonians is induced by the corner Hamiltonians. As a simple example, we investigate the ground state of the deformed S=1/2 Heisenberg spin chain by use of the density matrix renormalization group (DMRG) method. It is shown that the ground state is dimerized when λ is finite. Spin correlation function show exponential decay, and the boundary effect decreases with increasing λ.

• 社団法人日本物理学会の論文
• 2009-01-15

著者

• Ueda Hiroshi

  Department Of Dermatology Fujita Health University School Of Medicine

• Nishino Tomotoshi

  Department Of Physics Graduate School Of Science Kobe University

• Nishino Tomotoshi

  Department Of Physics Faculty Of Science Kobe University

• Ueda Hiroshi

  Department Of Anatomy University Of Occupational And Environmental Health School Of Medicine

• Ueda Hiroshi

  Department Of Material Engineering Science Graduate School Of Engineering Science Osaka University

• Ueda Hiroshi

  Department Of Anatomy School Of Medicine University Of Occupational And Environmental Health

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