Variational wave functions for the spin-Peierls transition in the Su-Schrieffer-Heeger model with quantum phonons

Abstract

We introduce variational wave functions to evaluate the ground-state properties of spin-phonon coupled systems described by the Su-Schrieffer-Heeger model. Quantum spins and phonons are treated on equal footing within a Monte Carlo sampling, and different regimes are investigated. We show that the proposed variational Ansatz yields good agreement with previous density-matrix renormalization group results in one dimension and is able to accurately describe the spin-Peierls transition. This variational approach is neither constrained by the magnetoelastic-coupling strength nor by the dimensionality of the systems considered, thus allowing future investigations in more general cases, which are relevant to spin-liquid and topological phases in two spatial dimensions.

arXiv comment7 pages, 5 figures

References in corpus (40)

• Quantum Spin Liquid States
• Strong electronic correlations from Hund's coupling
• Spin-lattice coupling in frustrated antiferromagnets
• Wave function optimization in the variational Monte Carlo method
• Magnetic light scattering in low-dimensional quantum spin systems
• Gapless ground state in the archetypal quantum kagome antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$
• S=1/2 chains and spin-Peierls transition in TiOCl
• Intermediate phase of the one dimensional half-filled Hubbard-Holstein model
• Phase diagram of a Heisenberg spin-Peierls model with quantum phonons
• Quantum Monte Carlo and variational approaches to the Holstein model
• Competition between antiferromagnetic and charge density wave order in the half filled Hubbard-Holstein model
• Nonadiabatic Approach to Spin-Peierls Transitions via Flow Equations
• Peierls Dimerization with Non-Adiabatic Spin-Phonon Coupling
• Competition among Superconducting, Antiferromagnetic, and Charge Orders with Intervention by Phase Separation in the 2D Holstein-Hubbard Model
• Critical Spin Liquid versus Valence Bond Glass in Triangular Lattice Organic $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Spin-Peierls transition in the Heisenberg chain with finite-frequency phonons
• Superconductivity, charge-density waves, antiferromagnetism, and phase separation in the Hubbard-Holstein model
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model in one dimension: the variational Monte Carlo approach
• Magnon splitting induced by charge ordering in NaV_2O_5
• Numerical Study of the Incommensurate Phase in Spin-Peierls Systems
• Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
• Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling
• Dynamical effects of phonons on soliton binding in spin-Peierls systems
• Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models
• Quantum lattice fluctuations in a frustrated Heisenberg spin-Peierls chain
• Quantum Monte Carlo study of lattice polarons in the two-dimensional multi-orbital Su-Schrieffer-Heeger model
• Unusual quasi-one-dimensional electron dispersions in the spin-1/2 quantum magnet TiOCl
• Variational Monte Carlo Method for Electron-Phonon Coupled Systems
• Machine Learning Quantum States -- Extensions to Fermion-Boson Coupled Systems and Excited-State Calculations
• Spin, charge and single-particle spectral functions of the one-dimensional quarter filled Holstein model
• Spin-Phonon Chains with Bond Coupling
• Microscopic model for transitions from Mott to spin-Peierls insulator in TiOCl
• Tetramerisation of a frustrated spin-1/2 chain
• The J_1-J_2 model revisited : Phenomenology of CuGeO_3
• Lattice dynamics in the spin-1/2 frustrated kagome compound herbertsmithite
• Peierls transition in the quantum spin-Peierls model
• Phase diagram of the spin-Peierls chain with local coupling
• Valence bond phases of herbertsmithite and related copper kagome materials
• Low-energy excitations of spin-Peierls chains with modified bond-impurities
• Quantized Lattice Dynamic Effects on the Spin-Peierls Transition

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• Broken-Symmetry Ground States of the Heisenberg model on the Pyrochlore Lattice
• Spin-Peierls instability of deconfined quantum critical points
• Stability of algebraic spin liquids coupled to quantum phonons
• Charge-density waves in kagome-lattice extended Hubbard models at the van Hove filling