한국콘텐츠학회:학술대회논문집 (Proceedings of the Korea Contents Association Conference)
- 한국콘텐츠학회 2007년도 추계 종합학술대회 논문집
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- Pages.209-211
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- 2007
진보된 혼돈 대각화 방법을 이용한 상호작용하는 페르미온 계의 기저상태 계산
Ground State Computation of Interacting Fermion Systems by using Advanced Stochastic Diagonalization
- Ahn, Sul-Ah (Korea Institute of Science and Technology Information) ;
- Cho, Myoung Won (Seoul National University)
- 발행 : 2007.11.16
초록
2차원 상호작용하는 페르미온 계에 대한 혼돈 대각화 계산의 컴퓨터 계산 시간이, 대칭성 연산과 같은 여러 가지 방법을 이용함으로써 감소되었다. 첫째로, 각각의 격자를 업스핀(
The computational time of Stocahstic Diagonalization (SD) calculation for 2-dimensional interacting fermion systems is reduced by using several methods including symmetry operations. First, each lattice is subdivided into spin-up and spin-down lattices separately, thus allowing a bi-partite lattice. A valid basis state is then obtained from stacking up an up-spin configuration on top of a down-spin configuration. As a consequence, the memory space to be used in saving the trial basis state reduces significantly. Secondly, the matrix elements of a Hamiltonianin are reconrded in a look-up table when making basis state set. Thus the repeated calculation of the matrix elements of the Hamiltonian are avoided during SD process. Thirdly, by applying symmetry operations to the basis state set the original basis state is transformed to a new basis state whose elements are the eigenvectors of the symmetry operations. The ground state wavefunction is constructed from the elements of symmetric - bonding state - basis state set. As a result, the total number of basis states involved in SD calculation is reduced upto 50 percentage by using symmetry operations.
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