Suppression of Ground-State Magnetization in Finite-Sized Systems Due to Off-Diagonal Interaction Fluctuations
arXiv:cond-mat/9909067 · doi:10.1103/PhysRevLett.84.3938
Abstract
We study a generic model of interacting fermions in a finite-sized disordered system. We show that the off-diagonal interaction matrix elements induce density of states fluctuations which generically favor a minimum spin ground state at large interaction amplitude, . This effect competes with the exchange effect which favors large magnetization at large , and it suppresses this exchange magnetization in a large parameter range. When off-diagonal fluctuations dominate, the model predicts a spin gap which is larger for odd-spin ground states as for even-spin, suggesting a simple experimental signature of this off-diagonal effect in Coulomb blockade transport measurements.
Final, substantially modified version of the article. Accepted for publication in Physical Review Letters
References in corpus (3)
Cited by in corpus (36)
- The Statistical Theory of Quantum Dots
- Random Matrices and Chaos in Nuclear Spectra
- Spin Degeneracy and Conductance Fluctuations in Open Quantum Dots
- Many-Body Physics and Quantum Chaos
- Structure of wavefunctions in (1+2)-body random matrix ensembles
- Phase Separation Dynamics Induced by an Interaction Quench of a Correlated Fermi-Fermi Mixture in a Double Well
- Interactions in Chaotic Nanoparticles: Fluctuations in Coulomb Blockade Peak Spacings
- Distribution of spectral widths and preponderance of spin-0 ground states in nuclei
- Ground-State Magnetization for Interacting Fermions in a Disordered Potential : Kinetic Energy, Exchange Interaction and Off-Diagonal Fluctuations
- Spin Structure of Many-Body Systems with Two-Body Random Interactions
- Odd-even binding effect from random two-body interactions
- Direct Observation of Fragmentation in a Disordered, Strongly Interacting Fermi Gas
- Impurity effects in few-electron quantum dots: Incipient Wigner molecule regime
- Spin and e-e interactions in quantum dots: Leading order corrections to universality and temperature effects
- Exchange and the Coulomb blockade: Peak height statistics in quantum dots
- The Enhanced Sensitivity of the Transmission Phase of a Quantum Dot to Kondo Correlations
- The Two-Body Random Ensemble in Nuclei
- Interactions and Disorder in Quantum Dots: Instabilities and Phase Transitions
- Coulomb Blockade Peak Spacing Distribution: The Interplay of Temperature and Spin
- Ground-state energy and spin in disordered quantum dots
- Strength functions, entropies and duality in weakly to strongly interacting fermionic systems
- SU(N) Wigner-Racah algebra for the matrix of second moments of embedded Gaussian unitary ensemble of random matrices
- Disordered mesoscopic systems with interactions: induced two-body ensembles and the Hartree-Fock approach
- Non-perturbative saddle point for the effective action of disordered and interacting electrons in 2D
- A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade
- Spin Polarized Ground State for Interacting Electrons in Two Dimensions
- Chaos and localization in the wavefunctions of complex atoms NdI, PmI and SmI
- Nature of order from random two-body interactions
- Interplay between pairing and exchange in small metallic dots
- Role of a parallel magnetic field in two dimensional disordered clusters containing a few correlated electrons
- Spontaneous Magnetization and Electron Momentum Density in 3D Quantum Dots
- Ground State Properties of Many-Body Systems in the Two-Body Random Ensemble and Random Matrix Theory
- The Parallel Magnetoconductance of Interacting Electrons in a Two Dimensional Disordered System
- Bivariate -distribution for transition matrix elements in Breit-Wigner to Gaussian domains of interacting particle systems
- Electron correlations, spontaneous magnetization and momentum density in quantum dots
- Spin magnetization of strongly correlated electron gas confined in a two-dimensional finite lattice