scholarly journals Breakdown of Luttinger liquid state in a one-dimensional frustrated spinless fermion model

2000 ◽  
Vol 61 (23) ◽  
pp. 15534-15537 ◽  
Author(s):  
A. K. Zhuravlev ◽  
M. I. Katsnelson
Keyword(s):  
Liquid State ◽  
Luttinger Liquid ◽  
Fermion Model ◽  
One Dimensional ◽  
Spinless Fermion

scholarly journals Superdiffusive transport of energy in one-dimensional metals

2020 ◽  
Vol 117 (23) ◽  
pp. 12713-12718
Author(s):  
Vir B. Bulchandani ◽  
Christoph Karrasch ◽  
Joel E. Moore
Keyword(s):  
Ballistic Transport ◽  
Luttinger Liquid ◽  
Spatial Dimension ◽  
Matrix Product ◽  
Time Resolved ◽  
One Dimensional ◽  
Matrix Product State ◽  
Spinless Fermion ◽  
Free Theory ◽  
Superdiffusive Transport

Metals in one spatial dimension are described at the lowest energy scales by the Luttinger liquid theory. It is well understood that this free theory, and even interacting integrable models, can support ballistic transport of conserved quantities including energy. In contrast, realistic one-dimensional metals, even without disorder, contain integrability-breaking interactions that are expected to lead to thermalization and conventional diffusive linear response. We argue that the expansion of energy when such a nonintegrable Luttinger liquid is locally heated above its ground state shows superdiffusive behavior (i.e., spreading of energy that is intermediate between diffusion and ballistic propagation), by combining an analytical anomalous diffusion model with numerical matrix-product–state calculations on a specific perturbed spinless fermion chain. Different metals will have different scaling exponents and shapes in their energy spreading, but the superdiffusive behavior is stable and should be visible in time-resolved experiments.

scholarly journals Luttinger liquid versus charge density wave behaviour in the one-dimensional spinless fermion Holstein model

2005 ◽  
Vol 359-361 ◽  
pp. 699-701 ◽  
Author(s):  
H. Fehske ◽  
G. Wellein ◽  
G. Hager ◽  
A. Weiße ◽  
K.W. Becker ◽  
...  
Keyword(s):  
Charge Density ◽  
Charge Density Wave ◽  
Density Wave ◽  
Luttinger Liquid ◽  
One Dimensional ◽  
Spinless Fermion ◽  
Holstein Model ◽  
The One

scholarly journals Gate-tunable plasmons in mixed-dimensional van der Waals heterostructures

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Sheng Wang ◽  
SeokJae Yoo ◽  
Sihan Zhao ◽  
Wenyu Zhao ◽  
Salman Kahn ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Carrier Density ◽  
Electromagnetic Interaction ◽  
Luttinger Liquid ◽  
Fundamental Physics ◽  
Metallic Structures ◽  
One Dimensional ◽  
Figures Of Merit ◽  
Electrostatic Gating ◽  
Plasmon Dispersion

AbstractSurface plasmons, collective electromagnetic excitations coupled to conduction electron oscillations, enable the manipulation of light–matter interactions at the nanoscale. Plasmon dispersion of metallic structures depends sensitively on their dimensionality and has been intensively studied for fundamental physics as well as applied technologies. Here, we report possible evidence for gate-tunable hybrid plasmons from the dimensionally mixed coupling between one-dimensional (1D) carbon nanotubes and two-dimensional (2D) graphene. In contrast to the carrier density-independent 1D Luttinger liquid plasmons in bare metallic carbon nanotubes, plasmon wavelengths in the 1D-2D heterostructure are modulated by 75% via electrostatic gating while retaining the high figures of merit of 1D plasmons. We propose a theoretical model to describe the electromagnetic interaction between plasmons in nanotubes and graphene, suggesting plasmon hybridization as a possible origin for the observed large plasmon modulation. The mixed-dimensional plasmonic heterostructures may enable diverse designs of tunable plasmonic nanodevices.

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