Related papers: Boundary effect and quantum phases in spin chains

Boundary effect and quantum phases in spin chains

URL: http://arxiv.org/abs/2404.19588v1
Date: Tue, 30 Apr 2024 14:26:14 GMT
Title: Boundary effect and quantum phases in spin chains
Authors: Jinhyeok Ryu, Jaeyoon Cho,
Abstract summary: Boundary effect is a widespread idea in many-body theories, but it is more of a conceptual notion than a rigorously defined physical quantity. Here, we analyze the quantity, which we call a boundary effect function, for an XXZ spin-1/2 model using density matrix renormalization group calculations.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Boundary effect is a widespread idea in many-body theories. However, it is more of a conceptual notion than a rigorously defined physical quantity. One can quantify the boundary effect by comparing two ground states of the same physical model, which differ only slightly in system size. Here, we analyze the quantity, which we call a boundary effect function, for an XXZ spin-1/2 model using density matrix renormalization group calculations. We find that three quantum phases of the model manifest as different functional forms of the boundary effect function. As a result, the quantum phase transition of the model is associated with a nonanalytic change of the boundary effect function. This work thus provides and concretizes a novel perspective on the relationship between bulk and boundary properties of ground states.

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