کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10727381 | 1037546 | 2013 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Quantized Berry phase in twisted Bloch momentum space as a topological order parameter for spin chains
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Quantized Berry phase in twisted Bloch momentum space as a topological order parameter for spin chains Quantized Berry phase in twisted Bloch momentum space as a topological order parameter for spin chains](/preview/png/10727381.png)
چکیده انگلیسی
We show that a quantized Berry phase in Bloch momentum space can serve as a topological order parameter to the quantum phases of a gapped spin chain system with time-reversal invariance. Specifically, we study this approach analytically in a class of XY spin-1/2 chain with multiple sites interactions in a transverse field. In order to derive a proper definition of the Berry curvature in a two-dimensional parameter space, we performed a local gauge transformation to the spin chain system by a twist operator, which endows the Hamiltonian of the system with the topology of a torus T2 without changing its energy spectrum. We show that a topological Z2 order parameter can be obtained as a quantized Berry phase by a loop integral of the Berry gauge potential along quarter of the Brillouin zone, which determines the zero-temperature phase diagram of the system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 377, Issue 18, 1 August 2013, Pages 1250-1254
Journal: Physics Letters A - Volume 377, Issue 18, 1 August 2013, Pages 1250-1254
نویسندگان
Yu-Quan Ma, Zhao-Xian Yu, Deng-Shan Wang, Xiang-Gui Li,