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20102026
most citedLecture Notes of Tensor Network Contractions

176 citations · 1.4k across the 70 of their papers we have counts for

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Showing 2017Show all

7 papers · 1 filter

cond-mat.str-el2017★ 57 cited

Thermodynamics of Spin-1/2 Kagomé Heisenberg Antiferromagnet: Algebraic Paramagnetic Liquid and Finite-Temperature Phase Diagram

Xi Chen, Shi-Ju Ran, Tao Liu +3

Quantum fluctuations from frustration can trigger quantum spin liquids (QSLs) at zero temperature. However, it is unclear how thermal fluctuations affect a QSL. We employ state-of-…

stat.ML2017★ 105 cited

Machine Learning by Unitary Tensor Network of Hierarchical Tree Structure

Ding Liu, Shi-Ju Ran, Peter Wittek +4

The resemblance between the methods used in quantum-many body physics and in machine learning has drawn considerable attention. In particular, tensor networks (TNs) and deep learni…

cond-mat.str-el2017★ 2 cited

Identifying Criticality in Higher Dimensions by Time Matrix Product State

Cheng Peng, Shi-Ju Ran, Maciej Lewenstein +1

Characterizing criticality in quantum many-body systems of dimension is one of the most important challenges of the contemporary physics. In principle, there is no generall…

physics.comp-ph2017★ 176 cited

Lecture Notes of Tensor Network Contractions

Shi-Ju Ran, Emanuele Tirrito, Cheng Peng +4

Tensor network (TN), a young mathematical tool of high vitality and great potential, has been undergoing extremely rapid developments in the last two decades, gaining tremendous su…

cond-mat.str-el2017★ 4 cited

Controlling phase diagram of finite spin- chains by tuning boundary interactions

Shi-Ju Ran, Cheng Peng, Gang Su +1

Searching for simple models that possess non-trivial controlling properties is one of the central tasks in the field of quantum technologies. In this work, we construct a quantum s…

cond-mat.str-el2017★ 17 cited

Fermionic algebraic quantum spin liquid in an octa-kagome frustrated antiferromagnet

Cheng Peng, Shi-Ju Ran, Tao Liu +2

We investigate the ground state and finite-temperature properties of the spin-1/2 Heisenberg antiferromagnet on an infinite octa-kagome lattice by utilizing state-of-the-art tensor…