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Anderson transitions
The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …
systems is reviewed. The term “Anderson transition” is understood in a broad sense …
Multifractal finite-size scaling and universality at the Anderson transition
We describe a new multifractal finite-size scaling (MFSS) procedure and its application to
the Anderson localization-delocalization transition. MFSS permits the simultaneous …
the Anderson localization-delocalization transition. MFSS permits the simultaneous …
Fractional Laplacian in bounded domains
The fractional Laplacian operator−(− Δ) α∕ 2 appears in a wide class of physical systems,
including Lévy flights and stochastic interfaces. In this paper, we provide a discretized …
including Lévy flights and stochastic interfaces. In this paper, we provide a discretized …
Conformal invariance and multifractality at anderson transitions in arbitrary dimensions
Multifractals arise in various systems across nature whose scaling behavior is characterized
by a continuous spectrum of multifractal exponents Δ q. In the context of Anderson …
by a continuous spectrum of multifractal exponents Δ q. In the context of Anderson …
Generalized surface multifractality in two-dimensional disordered systems
Recently, a concept of generalized multifractality, which characterizes fluctuations and
correlations of critical eigenstates, was introduced and explored for all 10 symmetry classes …
correlations of critical eigenstates, was introduced and explored for all 10 symmetry classes …
Quantum multifractality as a probe of phase space in the Dicke model
We study the multifractal behavior of coherent states projected in the energy eigenbasis of
the spin-boson Dicke Hamiltonian, a paradigmatic model describing the collective …
the spin-boson Dicke Hamiltonian, a paradigmatic model describing the collective …
Surface quantum critical phenomena in disordered Dirac semimetals
We study a non-Anderson disorder driven quantum phase transition in a semi-infinite Dirac
semimetal with a flat boundary. The conformally invariant boundary conditions, which …
semimetal with a flat boundary. The conformally invariant boundary conditions, which …
Boundary criticality and multifractality at the two-dimensional spin quantum Hall transition
Multifractal scaling of critical wave functions at a disorder-driven (Anderson) localization
transition is modified near boundaries of a sample. Here this effect is studied for the example …
transition is modified near boundaries of a sample. Here this effect is studied for the example …
Multifractal finite-size scaling at the Anderson transition in the unitary symmetry class
We use multifractal finite-size scaling to perform a high-precision numerical study of the
critical properties of the Anderson localization-delocalization transition in the unitary …
critical properties of the Anderson localization-delocalization transition in the unitary …
Boundary criticality at the Anderson transition between a metal and a quantum spin Hall insulator in two dimensions
Static disorder in a noninteracting gas of electrons confined to two dimensions can drive a
continuous quantum (Anderson) transition between a metallic and an insulating state when …
continuous quantum (Anderson) transition between a metallic and an insulating state when …