Density Matrix Embedding Theory and Strongly Correlated Lattice Systems

Abstract

This thesis describes the development of the density matrix embedding theory (DMET) and its applications to lattice strongly correlated electron problems, including a review of DMET theory and algorithms (Ch 2), investigation of finite size scaling (Ch 3), Applications to high-temperature superconductivity (Ch 4-6), a framework for finite-temperature DMET (Ch 7).

PhD thesis (Princeton University, 2017). Advisor: Garnet Kin-Lic Chan

References in corpus (36)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Real time evolution using the density matrix renormalization group
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Digital quantum simulation of fermionic models with a superconducting circuit
• Variational cluster approach to correlated electron systems in low dimensions
• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Magnetism and Charge Dynamics in Iron Pnictides
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• The Ground State of the Pseudogap in Cuprate Superconductors
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• Variational cluster approach to spontaneous symmetry breaking: The itinerant antiferromagnet in two dimensions
• Truncated Configuration Interaction expansions as solvers for correlated quantum impurity models and dynamical mean field theory
• Implementing global Abelian symmetries in projected entangled-pair state algorithms
• Competition between d-wave superconductivity and antiferromagnetism in the 2D Hubbard model
• Gapless quantum spin liquid, stripe and antiferromagnetic phases in frustrated Hubbard models in two dimensions
• Superconductivity, antiferromagnetism and phase separation in the two-dimensional Hubbard model: A dual-fermion approach
• Spatially inhomogeneous phase in the two-dimensional repulsive Hubbard model
• Checkerboard charge density wave and pseudogap in high-$T_c$ cuprates
• Phase separation in the Hubbard model
• Superconductivity and antiferromagnetism in the two-dimensional Hubbard model: a variational study
• Phase separation and competition of superconductivity and magnetism in the two-dimensional Hubbard model: From strong to weak coupling
• Coupling quantum Monte Carlo and independent-particle calculations: self-consistent constraint for the sign problem based on density or density matrix
• Correlation Strength, Gaps and Particle-Hole Asymmetry in High-Tc Cuprates: a Dynamical Mean Field Study of the Three-Band Copper-Oxide Model
• Phase diagram and single-particle spectrum of CuO${}_2$ layers within a variational cluster approach to the 3-band Hubbard model
• Lifshitz Transition in the Two Dimensional Hubbard Model
• Spin Density Waves in the Hubbard model - A DMFT approach
• Pseudogap in underdoped cuprates and spin-density-wave fluctuations
• Tensor Product Variational Formulation for Quantum Systems
• Many-body computations by stochastic sampling in Hartree-Fock-Bogoliubov space
• Absence of the d-Density Wave State in 2D Hubbard Model
• Finite-temperature superconducting correlations of the Hubbard model

Cited by in corpus (3)

• Ground-state phase diagram of the three-band Hubbard model from density matrix embedding theory
• A unified density-matrix functional construction of quantum baths in density matrix embedding theory beyond the mean-field approximation
• Fragment quantum embedding using the Householder transformation: a multi-state extension based on ensembles