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• W2947224689 abstract "Tensor network methods have progressed from variational techniques based on matrix-product states able to compute properties of one-dimensional condensed-matter lattice models into methods rooted in more elaborate states such as projected entangled pair states aimed at simulating the physics of two-dimensional models. In this work, we advocate the paradigm that for two-dimensional fermionic models, matrix-product states are still applicable to significantly higher accuracy levels than direct embeddings into one-dimensional systems allow for. To do so, we exploit schemes of fermionic mode transformations and overcome the prejudice that one-dimensional embeddings need to be local. This approach takes the insight seriously that the suitable exploitation of both the manifold of matrix-product states and the unitary manifold of mode transformations can more accurately capture the natural correlation structure. By demonstrating the residual low levels of entanglement in emerging modes, we show that matrix-product states can describe ground states strikingly well. The power of the approach is exemplified by investigating a phase transition of spin-less fermions for lattice sizes up to 10x10." @default.
• W2947224689 created "2019-06-07" @default.
• W2947224689 creator A5000771982 @default.
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• W2947224689 date "2021-08-20" @default.
• W2947224689 modified "2023-10-12" @default.
• W2947224689 title "Effective dimension reduction with mode transformations: Simulating two-dimensional fermionic condensed matter systems with matrix-product states" @default.
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• W2947224689 doi "https://doi.org/10.1103/physrevb.104.075137" @default.
• W2947224689 hasPublicationYear "2021" @default.
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