Federico Becca
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View article: A many-body marker for three-dimensional topological insulators with inversion symmetry
A many-body marker for three-dimensional topological insulators with inversion symmetry Open
We extend the previously defined many-body marker for two-dimensional $\mathbb{Z}_2$ topological insulators [I. Gilardoni {\it et al.}, Phys. Rev. B {\bf 106}, L161106 (2022)] to distinguish trivial, weak-, and strong-topological insulator…
View article: Foundation Neural-Networks Quantum States as a Unified Ansatz for Multiple Hamiltonians
Foundation Neural-Networks Quantum States as a Unified Ansatz for Multiple Hamiltonians Open
Foundation models are highly versatile neural-network architectures capable of processing different data types, such as text and images, and generalizing across various tasks like classification and generation. Inspired by this success, we…
View article: Fine-tuning neural network quantum states
Fine-tuning neural network quantum states Open
Recent progress in the design and optimization of neural-network quantum states (NQSs) has made them an effective method to investigate ground-state properties of quantum many-body systems. In contrast to the standard approach of training …
View article: Interaction-induced phases in the half-filled Bernevig-Hughes-Zhang model in one dimension
Interaction-induced phases in the half-filled Bernevig-Hughes-Zhang model in one dimension Open
We explore the ground-state properties of a one-dimensional model with two orbitals per site, where, in addition to atomic energies $\pm M$, intra- and inter-orbital hoppings, the intra-orbital Hubbard ($U$) and nearest-neighbor density-de…
View article: Monopole excitations in the $U(1)$ Dirac spin liquid on the triangular lattice
Monopole excitations in the $U(1)$ Dirac spin liquid on the triangular lattice Open
The $U(1)$ Dirac spin liquid might realize an exotic phase of matter whose low-energy properties are described by quantum electrodynamics in $2+1$ dimensions, where gapless modes exists but spinons and gauge fields are strongly coupled. It…
View article: A simple linear algebra identity to optimize large-scale neural network quantum states
A simple linear algebra identity to optimize large-scale neural network quantum states Open
Neural-network architectures have been increasingly used to represent quantum many-body wave functions. These networks require a large number of variational parameters and are challenging to optimize using traditional methods, as gradient …
View article: Insulating and metallic phases in the one-dimensional Hubbard-Su-Schrieffer-Heeger model: Insights from a backflow-inspired variational wave function
Insulating and metallic phases in the one-dimensional Hubbard-Su-Schrieffer-Heeger model: Insights from a backflow-inspired variational wave function Open
The interplay between electron-electron and electron-phonon interactions is studied in a one-dimensional lattice model, by means of a variational Monte Carlo method based on generalized Jastrow-Slater wave functions. Here, the fermionic pa…
View article: Intertwined superconductivity and orbital selectivity in a three-orbital Hubbard model for the iron pnictides
Intertwined superconductivity and orbital selectivity in a three-orbital Hubbard model for the iron pnictides Open
We study a three-orbital Hubbard-Kanamori model relevant for iron-based superconductors using variational wave functions explicitly including spatial correlations and electron pairing. We span the nonmagnetic sector from filling $n=4$, whi…
View article: Fine-tuning Neural Network Quantum States
Fine-tuning Neural Network Quantum States Open
Recent progress in the design and optimization of neural-network quantum states (NQSs) has made them an effective method to investigate ground-state properties of quantum many-body systems. In contrast to the standard approach of training …
View article: Transformer Wave Function for two dimensional frustrated magnets: emergence of a Spin-Liquid Phase in the Shastry-Sutherland Model
Transformer Wave Function for two dimensional frustrated magnets: emergence of a Spin-Liquid Phase in the Shastry-Sutherland Model Open
Understanding quantum magnetism in two-dimensional systems represents a lively branch in modern condensed-matter physics. In the presence of competing super-exchange couplings, magnetic order is frustrated and can be suppressed down to zer…
View article: Spin-phonon interactions on the kagome lattice: Dirac spin liquid versus valence-bond solids
Spin-phonon interactions on the kagome lattice: Dirac spin liquid versus valence-bond solids Open
We investigate the impact of the spin-phonon coupling on the S=1/2 Heisenberg model on the kagome lattice. For the pure spin model, there is increasing evidence that the low-energy properties can be correctly described by a Dirac spin liqu…
View article: A simple linear algebra identity to optimize Large-Scale Neural Network Quantum States
A simple linear algebra identity to optimize Large-Scale Neural Network Quantum States Open
Neural-network architectures have been increasingly used to represent quantum many-body wave functions. These networks require a large number of variational parameters and are challenging to optimize using traditional methods, as gradient …
View article: Jastrow wave function for the spin-1 Heisenberg chain: The string order revealed by the mapping to the classical Coulomb gas
Jastrow wave function for the spin-1 Heisenberg chain: The string order revealed by the mapping to the classical Coulomb gas Open
We show that a two-body Jastrow wave function is able to capture the ground-state properties of the $S=1$ Heisenberg chain with nearest-neighbor superexchange $J$ and single-ion anisotropy term $D$, in both the topological and large-$D$ ph…
View article: Piercing the Dirac spin liquid: From a single monopole to chiral states
Piercing the Dirac spin liquid: From a single monopole to chiral states Open
The parton approach for quantum spin liquids gives a transparent description of low-energy elementary excitations, e.g., spinons and emergent gauge-field fluctuations. The latter ones are directly coupled to the hopping/pairing of spinons.…
View article: Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice Open
Motivated by recent experiments on Cs _2 Cu _3 SnF _{12} and YCu _{3} (OH) _{6} Cl _{3} , we consider the {S=1/2} Heisenberg model on the kagome lattice with nearest-neighbor super-exchange J and (out-of-plane) D…
View article: A Jastrow wave function for the spin-1 Heisenberg chain: the string order revealed by the mapping to the classical Coulomb gas
A Jastrow wave function for the spin-1 Heisenberg chain: the string order revealed by the mapping to the classical Coulomb gas Open
We show that a two-body Jastrow wave function is able to capture the ground-state properties of the $S=1$ antiferromagnetic Heisenberg chain with the single-ion anisotropy term, in both the topological and trivial phases. Here, the optimiz…
View article: Report on scipost_202212_00062v2
Report on scipost_202212_00062v2 Open
Motivated by recent experiments on Cs 2 Cu 3 SnF 12 and YCu 3 (OH) 6 Cl 3 , we consider the S = 1/2 Heisenberg model on the kagome lattice with nearest-neighbor super-exchange J and (out-of-plane) Dzyaloshinskii-Moriya interaction J D , wh…
View article: Variational Benchmarks for Quantum Many-Body Problems
Variational Benchmarks for Quantum Many-Body Problems Open
The continued development of computational approaches to many-body ground-state problems in physics and chemistry calls for a consistent way to assess its overall progress. In this work, we introduce a metric of variational accuracy, the V…
View article: Report on scipost_202212_00062v1
Report on scipost_202212_00062v1 Open
Motivated by recent experiments on Cs 2 Cu 3 SnF 12 and YCu 3 (OH) 6 Cl 3 , we consider the S = 1/2 Heisenberg model on the kagome lattice with nearest-neighbor super-exchange J and (out-of-plane) Dzyaloshinskii-Moriya interaction J D , wh…
View article: Report on scipost_202212_00062v1
Report on scipost_202212_00062v1 Open
Motivated by recent experiments on Cs 2 Cu 3 SnF 12 and YCu 3 (OH) 6 Cl 3 , we consider the S = 1/2 Heisenberg model on the kagome lattice with nearest-neighbor super-exchange J and (out-of-plane) Dzyaloshinskii-Moriya interaction J D , wh…
View article: Transformer variational wave functions for frustrated quantum spin systems
Transformer variational wave functions for frustrated quantum spin systems Open
The Transformer architecture has become the state-of-art model for natural language processing tasks and, more recently, also for computer vision tasks, thus defining the Vision Transformer (ViT) architecture. The key feature is the abilit…
View article: Charge density waves in kagome-lattice extended Hubbard models at the van Hove filling
Charge density waves in kagome-lattice extended Hubbard models at the van Hove filling Open
The Hubbard model on the kagome lattice is presently often considered as a minimal model to describe the rich low-temperature behavior of AV$_{3}$Sb$_{5}$ compounds (with A=K, Rb, Cs), including charge-density waves (CDWs), superconductivi…
View article: Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice Open
Motivated by recent experiments on Cs$_2$Cu$_3$SnF$_{12}$ and YCu$_{3}$(OH)$_{6}$Cl$_{3}$, we consider the ${S=1/2}$ Heisenberg model on the kagome lattice with nearest-neighbor super-exchange $J$ and (out-of-plane) Dzyaloshinskii-Moriya i…
View article: Stripes in the extended $t-t^\prime$ Hubbard model: A Variational Monte Carlo analysis
Stripes in the extended $t-t^\prime$ Hubbard model: A Variational Monte Carlo analysis Open
By using variational quantum Monte Carlo techniques, we investigate the instauration of stripes (i.e., charge and spin inhomogeneities) in the Hubbard model on the square lattice at hole doping \delta=1/8 , with both nearest- ( t …
View article: Accuracy of restricted Boltzmann machines for the one-dimensional $J_1-J_2$ Heisenberg model
Accuracy of restricted Boltzmann machines for the one-dimensional $J_1-J_2$ Heisenberg model Open
Neural networks have been recently proposed as variational wave functions for quantum many-body systems [G. Carleo and M. Troyer, Science 355, 602 (2017)]. In this work, we focus on a specific architecture, known as restricted Boltzmann ma…
View article: Accuracy of restricted Boltzmann machines for the one-dimensional $J_1-J_2$ Heisenberg model
Accuracy of restricted Boltzmann machines for the one-dimensional $J_1-J_2$ Heisenberg model Open
Neural networks have been recently proposed as variational wave functions for quantum many-body systems [G. Carleo and M. Troyer, Science 355, 602 (2017)]. In this work, we focus on a specific architecture, known as Restricted Boltzmann Ma…
View article: Report on 2111.04623v3
Report on 2111.04623v3 Open
By using variational quantum Monte Carlo techniques, we investigate the instauration of stripes (i.e., charge and spin inhomogeneities) in the Hubbard model on the square lattice at hole doping δ = 1/8, with both nearest-(t) and nextneares…
View article: Charge-density waves in kagome-lattice extended Hubbard models at the\n van Hove filling
Charge-density waves in kagome-lattice extended Hubbard models at the\n van Hove filling Open
The Hubbard model on the kagome lattice is presently often considered as a\nminimal model to describe the rich low-temperature behavior of AV$_{3}$Sb$_{5}$\ncompounds (with A=K, Rb, Cs), including charge-density waves (CDWs),\nsuperconduct…