Mott-glass phase of a one-dimensional quantum fluid with long-range interactions

Abstract

We investigate the ground-state properties of quantum particles interacting via a long-range repulsive potential ${\mathcal{V}}_{\sigma }(x)\sim 1/|x{|}^{1+\sigma }$ ($-1<\sigma$) or ${\mathcal{V}}_{\sigma }(x)\sim -|x{|}^{-1-\sigma }$ ($-2\le \sigma <-1$) that interpolates between the Coulomb potential ${\mathcal{V}}_0(x)$ and the linearly confining potential ${\mathcal{V}}_{-2}(x)$ of the Schwinger model. In the absence of disorder the ground state is a Wigner crystal when $\sigma \le 0$. Using bosonization and the nonperturbative functional renormalization group we show that any amount of disorder suppresses the Wigner crystallization when $-3/2<\sigma \le 0$; the ground state is then a Mott glass, i.e., a state that has a vanishing compressibility and a gapless optical conductivity. For $\sigma <-3/2$ the ground state remains a Wigner crystal.

arXiv commentv2) 6+10 pages, 3+1 figures; v3) Supplemental Material updated

References in corpus (34)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• The Exact Renormalisation Group and Approximate Solutions
• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Non-local propagation of correlations in long-range interacting quantum systems
• Condensed Matter Theory of Dipolar Quantum Gases
• The nonperturbative functional renormalization group and its applications
• Wigner Crystal in One Dimension
• Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
• Quantum phases from competing short- and long-range interactions in an optical lattice
• An Introduction to the Nonperturbative Renormalization Group
• Flow Equations for N Point Functions and Bound States
• Ground state properties of the one dimensional Coulomb gas
• The Large Scale Energy Landscapes of Randomly Pinned Objects
• Competition of random and periodic potentials in interacting fermionic systems and classical equivalents: the Mott Glass
• Phase transition of interacting disordered bosons in one dimension
• Ground-state energy of the electron liquid in ultrathin wires
• Higgs amplitude mode in the vicinity of a $(2+1)$-dimensional quantum critical point: a nonperturbative renormalization-group approach
• Exact ground state properties of the one-dimensional Coulomb gas
• Transport properties of a quantum wire in the presence of impurities and long-range Coulomb forces
• A possible new phase of commensurate insulators with disorder: the Mott Glass
• Random-field Ising and $O(N)$ models: Theoretical description through the functional renormalization group
• Unscreened Coulomb repulsion in the one dimensional electron gas
• Superfluid/Bose-glass transition in one dimension
• Nonperturbative functional renormalization-group approach to transport in the vicinity of a $(2+1)$-dimensional O($N$)-symmetric quantum critical point
• Bose-glass phase of a one-dimensional disordered Bose fluid: metastable states, quantum tunneling and droplets
• Glassy properties of the Bose-glass phase of a one-dimensional disordered Bose fluid
• Effects of energy extensivity on the quantum phases of long-range interacting systems
• Is there a Mott-glass phase in a one-dimensional disordered quantum fluid with linearly confining interactions?
• Mott glass from localization and confinement
• The Effect of Randomness on the Mott State
• Benchmarking the nonperturbative functional renormalization group approach on the random elastic manifold model in and out of equilibrium
• Comment on "Absence of the Mott Glass Phase in 1D Disordered Fermionic Systems"

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• Flowing bosonization in the nonperturbative functional renormalization-group approach
• Superfluid--Bose-glass transition in a system of disordered bosons with long-range hopping in one dimension
• Mott-glass phase induced by long-range correlated disorder in a one-dimensional Bose gas
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• From Bose glass to many-body localization in a one-dimensional disordered Bose gas