A lattice duality defect in a folded Majorana chain yields a chiral fermion-parity defect that manifests as Andreev reflection upon mode recombination.
TensorKit.jl: A Julia package for large-scale tensor computations, with a hint of category theory
8 Pith papers cite this work. Polarity classification is still indexing.
8
Pith papers citing it
abstract
TensorKit$.$jl is a Julia-based software package for tensor computations, especially focusing on tensors with internal symmetries. This paper introduces the design philosophy, core functionalities, and distinctive features, including how to handle abelian, non-abelian, and anyonic symmetries through the ``TensorMap'' type. We highlight the software's flexibility, performance, and its capability to extend to new tensor types and symmetries, illustrating its practical applications through select case studies.
citation-role summary
background 2
citation-polarity summary
verdicts
UNVERDICTED 8roles
background 2polarities
background 2representative citing papers
Transfer-matrix functions using the polylogarithm allow direct inclusion of algebraic interaction tails in fixed-D variational iMPS without sum-of-exponentials surrogates.
Alternating cross interpolation performs elementwise operations on tensor trains in O(χ³) time with error control, improving on the standard O(χ⁴) scaling when output ranks are controlled.
An adaptive patching method exploits block-sparse QTT structures to reduce computational costs for tensor contractions and enables efficient evaluation of bubble diagrams and Bethe-Salpeter equations.
A matrix product operator construction using link-enhanced MPOs enables infinite-lattice simulations of (1+1)D gauge theories with manifest translation invariance and symmetry.
Thermal tensor network simulations of the t-t' Hubbard model find d-wave superconductivity on electron doping but strong fluctuating pair-density-wave order with momentum near (0, π) on hole doping in the pseudogap.
PEPSKit.jl is a Julia package that supplies high-level algorithms for ground-state, time-evolution and finite-temperature iPEPS simulations with symmetry support on various lattices.
Provides a detailed introduction to Grassmann tensor operations and their use in standard tensor-network algorithms, with validation on models in particle and condensed-matter physics.
citing papers explorer
-
Emergent Andreev Reflection from a Lattice Duality Defect
A lattice duality defect in a folded Majorana chain yields a chiral fermion-parity defect that manifests as Andreev reflection upon mode recombination.
-
Transfer-matrix functions for algebraically decaying interactions in variational infinite matrix product states
Transfer-matrix functions using the polylogarithm allow direct inclusion of algebraic interaction tails in fixed-D variational iMPS without sum-of-exponentials surrogates.
-
Fast elementwise operations on tensor trains with alternating cross interpolation
Alternating cross interpolation performs elementwise operations on tensor trains in O(χ³) time with error control, improving on the standard O(χ⁴) scaling when output ranks are controlled.
-
Adaptive Patching for Tensor Train Computations
An adaptive patching method exploits block-sparse QTT structures to reduce computational costs for tensor contractions and enables efficient evaluation of bubble diagrams and Bethe-Salpeter equations.
-
Infinite matrix product states for $(1+1)$-dimensional gauge theories
A matrix product operator construction using link-enhanced MPOs enables infinite-lattice simulations of (1+1)D gauge theories with manifest translation invariance and symmetry.
-
Fluctuating Pair Density Wave in Finite-temperature Phase Diagram of the $t$-$t^\prime$ Hubbard Model
Thermal tensor network simulations of the t-t' Hubbard model find d-wave superconductivity on electron doping but strong fluctuating pair-density-wave order with momentum near (0, π) on hole doping in the pseudogap.
-
PEPSKit.jl: A Julia package for projected entangled-pair state simulations
PEPSKit.jl is a Julia package that supplies high-level algorithms for ground-state, time-evolution and finite-temperature iPEPS simulations with symmetry support on various lattices.
-
Grassmann tensor networks
Provides a detailed introduction to Grassmann tensor operations and their use in standard tensor-network algorithms, with validation on models in particle and condensed-matter physics.