Non-equilibrium Properties of Berezinskii-Kosterlitz-Thouless Phase Transitions

Abstract

We employ a novel, unbiased renormalization-group approach to investigate non-equilibrium phase transitions in infinite lattice models. This allows us to address the delicate interplay of fluctuations and ordering tendencies in low dimensions out of equilibrium. We study a prototypical model for the metal to insulator transition of spinless interacting fermions coupled to electronic baths and driven out of equilibrium by a longitudinal static electric field. The closed system features a Berezinskii-Kosterlitz-Thouless transition between a metallic and a charge-ordered phase in the equilibrium limit. We compute the non-equilibrium phase diagram and illustrate a highly non-monotonic dependence of the phase boundary on the strength of the electric field: For small fields, the induced currents destroy the charge order, while at higher electric fields it reemerges due to many-body Wannier-Stark localization physics. Finally, we show that the current in such an interacting non-equilibrium system can counter-intuitively flow opposite to the direction of the electric field. This non-equilibrium steady-state is reminiscent of an equilibrium distribution function with an effective negative temperature.

References in corpus (25)

• Nonequilibrium dynamical mean-field theory and its applications
• Functional renormalization group approach to correlated fermion systems
• Keldysh Field Theory for Driven Open Quantum Systems
• Keldysh technique and non-linear sigma-model: basic principles and applications
• Theory of microwave-induced oscillations in the magnetoconductivity of a 2D electron gas
• Dynamical symmetry breaking as the origin of the zero-$dc$-resistance state in an $ac$-driven system
• Negative Absolute Temperature for Motional Degrees of Freedom
• Stark many-body localization
• From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• Nonequilibrium functional renormalization group for interacting quantum systems
• Nonequilibrium functional RG with frequency dependent vertex function: A study of the single impurity Anderson model
• Functional renormalization group for non-equilibrium quantum many-body problems
• A finite-frequency functional RG approach to the single impurity Anderson model
• Light cone dynamics and reverse Kibble-Zurek mechanism in two-dimensional superfluids following a quantum quench
• A renormalization group approach to time dependent transport through correlated quantum dots
• Atomic Gases at Negative Kinetic Temperature
• Floquet Engineering in Quantum Chains
• Luttinger liquid properties of the steady state after a quantum quench
• Current driven quantum criticality in itinerant electron ferromagnets
• Renormalization in periodically driven quantum dots
• The antiferromagnetic phase of the Floquet-driven Hubbard model
• Dynamic Kosterlitz-Thouless transition in 2D Bose mixtures of ultra-cold atoms
• Detecting phases in one-dimensional many-fermion systems with the functional renormalization group
• Phases of translation-invariant systems out of equilibrium: Iterative Green's function techniques and renormalization group approaches

Cited by in corpus (7)

• Nonthermal pathways to ultrafast control in quantum materials
• Stark many-body localization: Evidence for Hilbert-space shattering
• Giant rectification in strongly-interacting driven tilted systems
• Review of recent developments of the functional renormalization group for systems out of equilibrium
• Nonequilibrium phase transition in a driven-dissipative quantum antiferromagnet
• Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model
• Nanomechanically-induced nonequilibrium quantum phase transition to a self-organized density wave of a Bose-Einstein condensate