activity
20162026
most citedUnsupervised Generative Modeling Using Matrix Product States

261 citations · 601 across the 22 of their papers we have counts for

collaborators

22 papers

cond-mat.str-el2026

Floquet engineering of competing antiferromagnetism and -wave superconductivity on the square lattice

Zhaoyu Han, Subir Sachdev

We propose a driven Lieb--Hubbard quantum simulator whose prethermal dynamics realize a square-lattice spin-1/2 fermion model with independently tunable repulsive on-site and attra…

cond-mat.str-el2024★ 6 cited

Quantum spin liquid from electron-phonon coupling

Xun Cai, Zhaoyu Han, Zi-Xiang Li +2

A quantum spin liquid (QSL) is an exotic insulating phase with emergent gauge fields and fractionalized excitations. However, the unambiguous demonstration of the existence of a QS…

cond-mat.supr-con2024★ 3 cited

Models of interacting bosons with exact ground states: a unified approach

Zhaoyu Han, Steven A. Kivelson

We define an infinite class of ``frustration-free'' interacting lattice quantum Hamiltonians for bosons, constructed such that their exact ground states have a density distribution…

cond-mat.str-el2024★ 7 cited

Emergent Gauge Fields in Band Insulators

Zhaoyu Han, Steven Kivelson

By explicit microscopic construction involving a mapping to a quantum vertex model subject to the `ice rule,' we show that an electronically `trivial' band insulator with suitable…

cond-mat.str-el2024★ 1 cited

Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study

Jiucai Wang, Wen Sun, Hao-Xin Wang +3

A robust theory of the mechanism of pair density wave (PDW) superconductivity (i.e. where Cooper pairs have nonzero center of mass momentum) remains elusive. Here we explore the tr…

cond-mat.mes-hall2024

Anomalous Landau level gaps near magnetic transitions in monolayer WSe

Benjamin A. Foutty, Vladimir Calvera, Zhaoyu Han +7

First-order phase transitions produce abrupt changes to the character of both ground and excited electronic states. Here we conduct electronic compressibility measurements to map t…

cond-mat.str-el2024★ 22 cited

"Quantum Geometric Nesting" and Solvable Model Flat-Band Systems

Zhaoyu Han, Jonah Herzog-Arbeitman, B. Andrei Bernevig +1

We introduce the concept of "quantum geometric nesting'' (QGN) to characterize the idealized ordering tendencies of certain flat-band systems implicit in the geometric structure of…

cond-mat.supr-con2023★ 14 cited

"Quantum bipolaron" superconductivity from quadratic electron-phonon coupling

Zhaoyu Han, Steven A. Kivelson, Pavel A. Volkov

When the electron-phonon coupling is quadratic in the phonon coordinates, electrons can pair to form bipolarons due to phonon zero-point fluctuations, a purely quantum effect. We s…

cond-mat.supr-con2023★ 8 cited

Semi-classical theory of bipolaronic superconductivity in a bond-modulated electron-phonon model

Kyung-Su Kim, Zhaoyu Han, John Sous

We analyze the transition temperature of bipolaronic superconductivity in a bond Su-Schrieffer-Heeger (bond-SSH) model -- also known as a bond Peierls model -- where the elec…

cond-mat.str-el2023★ 2 cited

Two-fluid theory of composite bosons and fermions and the quantum Hall proximity effect

Zhaoyu Han, Kyung-Su Kim, Steven A. Kivelson +1

We propose a two-fluid description of fractional quantum Hall systems, in which one component is a condensate of composite bosons and the other a Fermi liquid formed by composite f…

cond-mat.str-el2022★ 13 cited

Resonating Valence Bond States in an Electron-Phonon System

Zhaoyu Han, Steven A. Kivelson

We study a simple electron-phonon model on square and triangular versions of the Lieb-lattice using an asymptotically exact strong coupling analysis. At zero temperature and electr…

cond-mat.str-el2022★ 3 cited

The one-dimensional Holstein model revisited

Sijia Zhao, Zhaoyu Han, Ilya Esterlis +1

We analyze the global ground-state (quantum) phase diagram of the one-dimensional Holstein model at half-filling as a function of the strength of the electron-phonon coupling (repr…

cond-mat.str-el2022★ 8 cited

Fractional Hall Conductivity and Spin-c Structure in Solvable Lattice Hamiltonians

Zhaoyu Han, Jing-Yuan Chen

The Kapustin-Fidkowski no-go theorem forbids symmetric topological orders with non-trivial Hall conductivity in (2+1)d from admitting commuting projector Hamiltonians, where…

cond-mat.supr-con2021★ 22 cited

Pair density wave and reentrant superconducting tendencies originating from valley polarization

Zhaoyu Han, Steven A. Kivelson

We investigate superconducting pairing tendencies of a two-dimensional electron fluid with both valley and spin degrees of freedom, both without and in the presence of an in-plane…

cond-mat.str-el2021★ 93 cited

Correlated Hofstadter Spectrum and Flavor Phase Diagram in Magic Angle Graphene

Jiachen Yu, Benjamin A. Foutty, Zhaoyu Han +8

In magic angle twisted bilayer graphene (MATBG), the moiré superlattice potential gives rise to narrow electronic bands1 which support a multitude of many-body quantum phases. Furt…

cond-mat.str-el2021★ 6 cited

Solvable Lattice Hamiltonians with Fractional Hall Conductivity

Zhaoyu Han, Jing-Yuan Chen

We construct a class of lattice Hamiltonians that exhibit fractional Hall conductivity. These Hamiltonians, while not being exactly solvable, can be controllably solved in their lo…

cond-mat.str-el2021★ 40 cited

Pair-Density-Wave in the Strong Coupling Limit of the Holstein-Hubbard model

Kevin S. Huang, Zhaoyu Han, Steven A. Kivelson +1

A pair-density-wave (PDW) is a novel superconducting state with an oscillating order parameter. A microscopic mechanism that can give rise to it has been long sought but has not ye…

cond-mat.str-el2020★ 55 cited

Strong Coupling Limit of the Holstein-Hubbard Model

Zhaoyu Han, Steven A. Kivelson, Hong Yao

We analyze the quantum phase diagram of the Holstein-Hubbard model using an asymptotically exact strong-coupling expansion. We find all sorts of interesting phases including a pair…

cond-mat.str-el2019★ 4 cited

Charge Density Waves in a Quantum Plasma

Zhaoyu Han, Shiwei Zhang, Xi Dai

We analyze the instability of an unpolarized uniform quantum plasma consisting of two oppositely charged fermionic components with varying mass ratios, against charge and spin dens…

quant-ph2017★ 27 cited

Scalable Quantum Tomography with Fidelity Estimation

Jun Wang, Zhao-Yu Han, Song-Bo Wang +4

We propose a quantum tomography scheme for pure qudit systems which adopts random base measurements and generative learning methods, along with a built-in fidelity estimation appro…

cond-mat.stat-mech2017★ 261 cited

Unsupervised Generative Modeling Using Matrix Product States

Zhao-Yu Han, Jun Wang, Heng Fan +2

Generative modeling, which learns joint probability distribution from data and generates samples according to it, is an important task in machine learning and artificial intelligen…

cond-mat.dis-nn2016★ 6 cited

Investigating disordered many-body system with entanglement in momentum space

Bing-Tian Ye, Zhao-Yu Han, Liang-Zhu Mu +1

We study the entanglement in momentum space of the ground state of a disordered one-dimensional fermion lattice model with attractive interaction. We observe two components in the…