Ground state and finite temperature behavior of 1/4-filled band zigzag ladders

Rudolf Torsten Clay, Jeong Pil Song, Saurabh Dayal, Sumitendra Mazumdar

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider the simplest example of lattice frustration in the 1/4-filled band, a one-dimensional chain with nextnearest neighbor interactions. For this zigzag ladder with electron-electron as well as electron-phonon interactions we present numerical results for ground state as well as thermodynamic properties. In this system the ground state bond distortion pattern is independent of electron-electron interaction strength. The spin gap from the ground state of the zigzag ladder increases with the degree of frustration. Unlike in one-dimension, where the spin-gap and charge ordering transitions can be distinct, we show that in the ladder they occur simultaneously. We discuss spin gap and charge ordering transitions in 1/4-filled materials with one, two, or three dimensional crystal structures. We show empirically that regardless of dimensionality the occurrence of simultaneous or distinct charge and magnetic transitions can be correlated with the ground state bond distortion pattern.

Original languageEnglish (US)
Article number074707
JournalJournal of the Physical Society of Japan
Volume81
Issue number7
DOIs
StatePublished - Jul 2012

Fingerprint

ladders
ground state
frustration
electrons
temperature
electron phonon interactions
electron scattering
thermodynamic properties
occurrences
crystal structure
interactions

Keywords

  • 1/4 filling
  • Ladder
  • Lattice frustration
  • Organic conductors
  • Spin gap

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ground state and finite temperature behavior of 1/4-filled band zigzag ladders. / Clay, Rudolf Torsten; Song, Jeong Pil; Dayal, Saurabh; Mazumdar, Sumitendra.

In: Journal of the Physical Society of Japan, Vol. 81, No. 7, 074707, 07.2012.

Research output: Contribution to journalArticle

@article{412ef9ff9479482cb955f195e685a7c1,
title = "Ground state and finite temperature behavior of 1/4-filled band zigzag ladders",
abstract = "We consider the simplest example of lattice frustration in the 1/4-filled band, a one-dimensional chain with nextnearest neighbor interactions. For this zigzag ladder with electron-electron as well as electron-phonon interactions we present numerical results for ground state as well as thermodynamic properties. In this system the ground state bond distortion pattern is independent of electron-electron interaction strength. The spin gap from the ground state of the zigzag ladder increases with the degree of frustration. Unlike in one-dimension, where the spin-gap and charge ordering transitions can be distinct, we show that in the ladder they occur simultaneously. We discuss spin gap and charge ordering transitions in 1/4-filled materials with one, two, or three dimensional crystal structures. We show empirically that regardless of dimensionality the occurrence of simultaneous or distinct charge and magnetic transitions can be correlated with the ground state bond distortion pattern.",
keywords = "1/4 filling, Ladder, Lattice frustration, Organic conductors, Spin gap",
author = "Clay, {Rudolf Torsten} and Song, {Jeong Pil} and Saurabh Dayal and Sumitendra Mazumdar",
year = "2012",
month = "7",
doi = "10.1143/JPSJ.81.074707",
language = "English (US)",
volume = "81",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "7",

}

TY - JOUR

T1 - Ground state and finite temperature behavior of 1/4-filled band zigzag ladders

AU - Clay, Rudolf Torsten

AU - Song, Jeong Pil

AU - Dayal, Saurabh

AU - Mazumdar, Sumitendra

PY - 2012/7

Y1 - 2012/7

N2 - We consider the simplest example of lattice frustration in the 1/4-filled band, a one-dimensional chain with nextnearest neighbor interactions. For this zigzag ladder with electron-electron as well as electron-phonon interactions we present numerical results for ground state as well as thermodynamic properties. In this system the ground state bond distortion pattern is independent of electron-electron interaction strength. The spin gap from the ground state of the zigzag ladder increases with the degree of frustration. Unlike in one-dimension, where the spin-gap and charge ordering transitions can be distinct, we show that in the ladder they occur simultaneously. We discuss spin gap and charge ordering transitions in 1/4-filled materials with one, two, or three dimensional crystal structures. We show empirically that regardless of dimensionality the occurrence of simultaneous or distinct charge and magnetic transitions can be correlated with the ground state bond distortion pattern.

AB - We consider the simplest example of lattice frustration in the 1/4-filled band, a one-dimensional chain with nextnearest neighbor interactions. For this zigzag ladder with electron-electron as well as electron-phonon interactions we present numerical results for ground state as well as thermodynamic properties. In this system the ground state bond distortion pattern is independent of electron-electron interaction strength. The spin gap from the ground state of the zigzag ladder increases with the degree of frustration. Unlike in one-dimension, where the spin-gap and charge ordering transitions can be distinct, we show that in the ladder they occur simultaneously. We discuss spin gap and charge ordering transitions in 1/4-filled materials with one, two, or three dimensional crystal structures. We show empirically that regardless of dimensionality the occurrence of simultaneous or distinct charge and magnetic transitions can be correlated with the ground state bond distortion pattern.

KW - 1/4 filling

KW - Ladder

KW - Lattice frustration

KW - Organic conductors

KW - Spin gap

UR - http://www.scopus.com/inward/record.url?scp=84863588870&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84863588870&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.81.074707

DO - 10.1143/JPSJ.81.074707

M3 - Article

AN - SCOPUS:84863588870

VL - 81

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 7

M1 - 074707

ER -