Sea-boson theory of Landau-Fermi liquids, Luttinger liquids and Wigner crystals

Girish S Setlur

doi:10.1007/bf02704431

A tied Fermi liquid to Luttinger liquid model for the explanation of nonlinear transport in conducting polymers

10.21203/rs.3.rs-48175/v1 ◽

2020 ◽

Author(s):

Jiawei Wang ◽

Jiebin Niu ◽

Bin Shao ◽

Guanhua YANG ◽

Congyan Lu ◽

...

Keyword(s):

Conducting Polymers ◽

Charge Transport ◽

Fermi Liquid ◽

Fermi Liquids ◽

Nonlinear Transport ◽

Luttinger Liquids ◽

Resistive Network ◽

Light Emitting ◽

Organic Conjugated Polymers ◽

Liquid Model

Abstract Organic conjugated polymers demonstrate great potential in the transistor, solar cell and light-emitting diodes. The performances of those devices are fundamentally governed by charge transport within the active materials. However, the morphology-property relationships and the underpinning charge transport mechanism in polymers remain unclear. Particularly, whether the nonlinear charge transport in doped conducting polymers, i.e., anomalous non-Ohmic behaviors at low temperature, is appropriately formulated within non-Fermi liquid picture is not clear. In this work, via varying crystalline degrees of samples, we carried out systematic investigations on the charge transport nonlinearity in conducting polymers. Possible charge carriers’ dimensionality was discussed with experiments when varying the molecular chain’s crystalline orders. A heterogeneous-resistive-network (HRN) model was proposed based on the tied link between Fermi liquids (FL) and Luttinger liquids (LL), related to the high-ordered crystalline zones and weak-coupled amorphous regions, respectively. This mesoscopic HRN model is experimentally supported by precise electrical and microstructural characterizations, together with theoretic evaluations. Significantly, such model well describes the nonlinear transport behaviors in conducting polymers universally and provides new insights into the microstructure-correlated charge transport in organic conducting/semiconducting systems.

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Experimental Progress towards Probing the Ground State of an Electron-Hole Bilayer by Low-Temperature Transport

Advances in Condensed Matter Physics ◽

10.1155/2011/727958 ◽

2011 ◽

Vol 2011 ◽

pp. 1-22 ◽

Cited By ~ 16

Author(s):

K. Das Gupta ◽

A. F. Croxall ◽

J. Waldie ◽

C. A. Nicoll ◽

H. E. Beere ◽

...

Keyword(s):

Ground State ◽

Low Temperatures ◽

Single Layer ◽

Charge Density Waves ◽

Fermi Liquids ◽

Interlayer Interaction ◽

Electron Hole ◽

Coulomb Drag ◽

Wigner Crystals ◽

20 Nm

Recently, it has been possible to design independently contacted electron-hole bilayers (EHBLs) with carrier densities cm2in each layer and a separation of 10–20 nm in a GaAs/AlGaAs system. In these EHBLs, the interlayer interaction can be stronger than the intralayer interactions. Theoretical works have indicated the possibility of a very rich phase diagram in EHBLs consisting of excitonic superfluid phases, charge density waves, and Wigner crystals. Experiments have revealed that the Coulomb drag on the hole layer shows strong nonmonotonic deviations from a behaviour expected for Fermi-liquids at low temperatures. Simultaneously, an unexpected insulating behaviour in the single-layer resistances (at a highly “metallic” regime with ) also appears in both layers despite electron mobilities of above and hole mobilities over . Experimental data also indicates that the point of equal densities () is not special.

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Fermi Liquids and Luttinger Liquids

Field Theories for Low-Dimensional Condensed Matter Systems - Springer Series in Solid-State Sciences ◽

10.1007/978-3-662-04273-1_2 ◽

2000 ◽

pp. 9-81 ◽

Cited By ~ 7

Author(s):

Heinz J. Schulz ◽

Gianaurelio Cuniberti ◽

Pierbiagio Pieri

Keyword(s):

Fermi Liquids ◽

Luttinger Liquids

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A tied Fermi liquid to Luttinger liquid model for nonlinear transport in conducting polymers

Nature Communications ◽

10.1038/s41467-020-20238-5 ◽

2021 ◽

Vol 12 (1) ◽

Author(s):

Jiawei Wang ◽

Jiebin Niu ◽

Bin Shao ◽

Guanhua Yang ◽

Congyan Lu ◽

...

Keyword(s):

Conducting Polymers ◽

Charge Transport ◽

Fermi Liquids ◽

Transport Mechanisms ◽

Nonlinear Transport ◽

Luttinger Liquids ◽

Resistive Network ◽

Light Emitting ◽

Organic Conjugated Polymers ◽

Liquid Model

AbstractOrganic conjugated polymers demonstrate great potential in transistors, solar cells and light-emitting diodes, whose performances are fundamentally governed by charge transport. However, the morphology–property relationships and the underpinning charge transport mechanisms remain unclear. Particularly, whether the nonlinear charge transport in conducting polymers is appropriately formulated within non-Fermi liquids is not clear. In this work, via varying crystalline degrees of samples, we carry out systematic investigations on the charge transport nonlinearity in conducting polymers. Possible charge carriers’ dimensionality is discussed when varying the molecular chain’s crystalline orders. A heterogeneous-resistive-network (HRN) model is proposed based on the tied-link between Fermi liquids (FL) and Luttinger liquids (LL), related to the high-ordered crystalline zones and weak-coupled amorphous regions, respectively. The HRN model is supported by precise electrical and microstructural characterizations, together with theoretic evaluations, which well describes the nonlinear transport behaviors and provides new insights into the microstructure-correlated charge transport in organic solids.

Download Full-text