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20162026
most citedA programming guide for tensor networks with global symmetry

30 citations · 166 across the 15 of their papers we have counts for

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12 papers · 1 filter

cond-mat.str-el2025★ 1 cited

Variational optimization of projected entangled-pair states on the triangular lattice

Jan Naumann, Jens Eisert, Philipp Schmoll

We introduce a general corner transfer matrix renormalization group algorithm tailored to projected entangled-pair states on the triangular lattice. By integrating automatic differ…

cond-mat.str-el2025★ 6 cited

Variationally optimizing infinite projected entangled-pair states at large bond dimensions: A split corner transfer matrix renormalization group approach

Jan Naumann, Erik Lennart Weerda, Jens Eisert +2

Projected entangled-pair states (PEPS) have become a powerful tool for studying quantum many-body systems in the condensed matter and quantum materials context, particularly with a…

cond-mat.str-el2024★ 1 cited

An extended non-magnetic phase in the spin-1/2 Heisenberg antiferromagnet from the ruby to the maple-leaf lattice

Philipp Schmoll, Jan Naumann, Erik Lennart Weerda +2

The spin-1/2 Heisenberg antiferromagnet on the two-dimensional ruby and maple-leaf lattices provides a stringent test case for frustrated quantum magnetism, where semiclassical mag…

cond-mat.str-el2024★ 7 cited

Tensor network analysis of the maple-leaf antiferromagnet spangolite

Philipp Schmoll, Harald O. Jeschke, Yasir Iqbal

Spangolite (CuAl(SO)(OH)Cl3HO) is a hydroxy-hydrated copper sulfate mineral with a one-seventh depleted triangular lattice of Cu ions in each layer…

cond-mat.str-el2023★ 18 cited

An introduction to infinite projected entangled-pair state methods for variational ground state simulations using automatic differentiation

Jan Naumann, Erik Lennart Weerda, Matteo Rizzi +2

Tensor networks capture large classes of ground states of phases of quantum matter faithfully and efficiently. Their manipulation and contraction has remained a challenge over the…

cond-mat.str-el2022★ 22 cited

Tensor network study of the spin-1/2 Heisenberg anti-ferromagnet on the Shuriken lattice

Philipp Schmoll, Augustine Kshetrimayum, Jan Naumann +2

We investigate the ground state of the spin Heisenberg anti-ferromagnet on the Shuriken lattice, also in the presence of an external magnetic field. To this end, we employ…

cond-mat.str-el2022★ 3 cited

Finite temperature tensor network algorithm for frustrated two-dimensional quantum materials

Philipp Schmoll, Christian Balz, Bella Lake +2

Aimed at a more realistic classical description of natural quantum systems, we present a two-dimensional tensor network algorithm to study finite temperature properties of frustrat…

cond-mat.str-el2020★ 13 cited

Benchmarking global symmetry in 2d tensor network algorithms

Philipp Schmoll, Roman Orus

We implement and benchmark tensor network algorithms with symmetry for systems in two spatial dimensions and in the thermodynamic limit. Specifically, we implement -…

cond-mat.str-el2019★ 12 cited

Fine-Grained Tensor Network Methods

Philipp Schmoll, Saeed S. Jahromi, Max Hörmann +3

We develop a strategy for tensor network algorithms that allows to deal very efficiently with lattices of high connectivity. The basic idea is to fine-grain the physical degrees of…

cond-mat.str-el2018★ 9 cited

Quantum criticality on a chiral ladder: an iDMRG study

Philipp Schmoll, Andreas Haller, Matteo Rizzi +1

In this paper we study the ground state properties of a ladder Hamiltonian with chiral -invariant spin interactions, a possible first step towards the construction of truly…

cond-mat.str-el2018★ 30 cited

A programming guide for tensor networks with global symmetry

Philipp Schmoll, Sukhbinder Singh, Matteo Rizzi +1

This paper is a manual with tips and tricks for programming tensor network algorithms with global symmetry. We focus on practical details that are many times overlooked whe…

cond-mat.str-el2016★ 24 cited

Kitaev honeycomb tensor networks: exact unitary circuits and applications

Philipp Schmoll, Roman Orus

The Kitaev honeycomb model is a paradigm of exactly-solvable models, showing non-trivial physical properties such as topological quantum order, abelian and non-abelian anyons, and…