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SUMMARY:Charge-density-wave phases of one-dimensional model with long-rang
e repulsive interactions
DTSTART;VALUE=DATE-TIME:20170620T183000Z
DTEND;VALUE=DATE-TIME:20170620T193000Z
DTSTAMP;VALUE=DATE-TIME:20200222T202533Z
UID:indico-contribution-408@cern.ch
DESCRIPTION:Speakers: Dr. SZYNISZEWSKI\, Marcin (Lancaster University)\nTh
e one-dimensional extended t-V model on a lattice describes fermions with
repulsive interactions of finite range and exhibits a quantum phase transi
tion between a Luttinger liquid conducting phase and a Mott insulating pha
se. Its properties make it useful in the description of candidate material
s for Mott transistor devices. It is known that by tailoring the potential
energy of the insulating system\, one can force a phase transition into a
different insulating phase [1\, 2]. We show how to construct all possible
charge-density-wave phases of the system at low critical densities in the
atomic limit. Higher critical densities are investigated by a brute-force
analysis of the possible finite unit cells of the Fock states. We present
example phase diagrams of the system.\n\nWe construct a matrix product op
erator representation of the Hamiltonian of the t-V model. Using the matri
x product states (MPS) approach we go beyond the atomic limit\, where the
phase diagrams are much richer. MPS method is especially problematic near
the transition between two different charge-density-wave phases and we sho
w how the bond dimension must be increased in order to converge the result
s.\n\nOur results indicate that the number of possible insulating phases g
rows with both the maximum interaction range and the fermion density and m
ay cause the loss of insulating properties of the material at finite tempe
ratures.\n\n----------\n\n**References**\n\n 1. P. Schmitteckert and R. We
rner\, Phys. Rev. B\, 69\, 195115 (2004).\n\n 2. T. Mishra\, J. Carrasquil
la\, and M. Rigol\, Phys. Rev. B\, 84\, 115135 (2011).\n\nhttps://makondo.
ugr.es/event/0/session/24/contribution/408
LOCATION:Palacio de Congresos
URL:https://makondo.ugr.es/event/0/session/24/contribution/408
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