Boundary multifractality in the spin quantum Hall symmetry class with interaction
arXiv:2308.16852 · doi:10.1103/PhysRevB.108.205429
Abstract
Generalized multifractality characterizes system size dependence of pure scaling local observables at Anderson transitions in all ten symmetry classes of disordered systems. Recently, the concept of generalized multifractality has been extended to boundaries of critical disordered noninteracting systems. Here we study the generalized boundary multifractality in the presence of electron-electron interaction, focusing on the spin quantum Hall symmetry class (class C). Employing the two-loop renormalization group analysis within Finkel'stein nonlinear sigma model we compute the anomalous dimensions of the pure scaling operators located at the boundary of the system. We find that generalized boundary multifractal exponents are twice larger than their bulk counterparts. Exact symmetry relations between generalized boundary multifractal exponents in the case of noninteracting systems are explicitly broken by the interaction.
arXiv comment14 LaTeX pages, 1 figure
References in corpus (63)
- Anderson Transitions
- Statistics of energy levels and eigenfunctions in disordered systems
- The spin quantum Hall effect in unconventional superconductors
- Visualizing Critical Correlations near the Metal-Insulator Transition in Ga1-xMnxAs
- Eigenfunction fractality and pseudogap state near superconductor-insulator transition
- Fractal superconductivity near localization threshold
- Exact exponents for the spin quantum Hall transition
- Exact relations between multifractal exponents at the Anderson transition
- Theories of Low-Energy Quasi-Particle States in Disordered d-Wave Superconductors
- Critical exponent for the Anderson transition in the three dimensional orthogonal universality class
- Observation of multifractality in Anderson localization of ultrasound
- Enhancement of superconductivity by Anderson localization
- Quantum Hall plateau transitions in disordered superconductors
- Multifractality at the quantum Hall transition: Beyond the parabolic paradigm
- Towards a Field Theory of the Plateau Transition
- Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
- Quantum and classical localisation, the spin quantum Hall effect and generalisations
- Boundary multifractality at the integer quantum Hall plateau transition: implications for the critical theory
- The integer quantum Hall plateau transition is a current algebra after all
- Universal dephasing rate due to diluted Kondo impurities
- Magnetic properties of Sr_2Fe_1+xMo_1-xO_6 with -1 <= x <= 0.25
- Surface criticality and multifractality at localization transitions
- Multifractality at Anderson transitions with Coulomb interaction
- Superconductor-insulator transitions: Phase diagram and magnetoresistance
- Interaction-mediated surface state instability in disordered three-dimensional topological superconductors with spin SU(2) symmetry
- Classification and symmetry properties of scaling dimensions at Anderson transitions
- Wave function statistics and multifractality at the spin quantum Hall transition
- Symmetries of multifractal spectra and field theories of Anderson localization
- The instanton vacuum of generalized models
- Multifractality and quantum-to-classical crossover in the Coulomb anomaly at the Mott-Anderson metal-insulator transition
- Boundary criticality and multifractality at the 2D spin quantum Hall transition
- Enhanced, phase coherent, multifractal-like, two-dimensional superconductivity
- Multifractality at the spin quantum Hall transition
- Disorder-quenched Kondo effect in mesosocopic electronic systems
- Boundary multifractality in critical 1D systems with long-range hopping
- Evidence for the PSL(22) Wess-Zumino-Novikov-Witten model as a model for the plateau transition in Quantum Hall effect: Evaluation of numerical simulations
- Gaussian free fields at the integer quantum Hall plateau transition
- Free Magnetic Moments in Disordered Metals
- Response theory of the ergodic many-body delocalized phase: Keldysh Finkel'stein sigma models and the 10-fold way
- Mesoscopic conductance and its fluctuations at non-zero Hall angle
- Multifractally-enhanced superconductivity in thin films
- Disordered d-wave superconductors with interactions
- Multifractality and electron-electron interaction at Anderson transitions
- Enhancement of critical temperatures in disordered bipartite lattices
- Information about the Integer Quantum Hall Transition Extracted from the Autocorrelation Function of Spectral Determinants
- Self-consistent-field ensembles of disordered Hamiltonians: Efficient solver and application to superconducting films
- Mesoscopic fluctuations of the single-particle Green's function at Anderson transitions with Coulomb interaction
- Metal-insulator transition in a 2D system of chiral unitary class
- Generalized multifractality at metal-insulator transitions and in metallic phases of 2D disordered systems
- Exponential Orthogonality Catastrophe at the Anderson Metal-Insulator Transition
- Quartic multifractality and finite-size corrections at the spin quantum Hall transition
- Generalized multifractality at spin quantum Hall transition
- Effect of electron-electron interaction near the metal-insulator transition in doped semiconductors studied within the local density approximation
- Generalized multifractality in 2D disordered systems of chiral symmetry classes
- Interplay of superconductivity and localization near a 2D ferromagnetic quantum critical point
- Multifractally-enhanced superconductivity in two-dimensional systems with spin-orbit coupling
- Generalized surface multifractality in 2D disordered systems
- Quantum mechanics with a time-dependent random unitary Hamiltonian: A perturbative study of the nonlinear Keldysh sigma-model
- Generalized multifractality in the spin quantum Hall symmetry class with interaction
- Hartree-Fock study of an Anderson metal-insulator transition in the presence of Coulomb interaction: Two types of mobility edges and their multifractal scaling exponents
- Local density of state fluctuations in 2D superconductor as a probe of quantum diffusion
- Electron-phonon cooling power in Anderson insulators
- Magnetic disorder in superconductors: Enhancement by mesoscopic fluctuations